137121093199872
137,121,093,199,872 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137121093199872 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137121093199872 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137121093199872:
211 × 32 × 17 × 23 × 89 × 313 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 23 × 89 × 313 × 683)See below for interesting mathematical facts about the number 137121093199872 from the Numbermatics database.
Names of 137121093199872
- Cardinal: 137121093199872 can be written as One hundred thirty-seven trillion, one hundred twenty-one billion, ninety-three million, one hundred ninety-nine thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37121093199872 × 1014
Factors of 137121093199872
Divisors of 137121093199872
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 64 68 69 72 89 92 96 102 128 136 138 144 153 178 184 192 204 207 256 267 272 276 288 306 313 356 368 384 391 408 414 512 534 544 552 576 612 626 683 712 736 768 782 801 816 828 939 1024 1068 1088 1104 1152 1173 1224 1252 1366 1424 1472 1513 1536 1564 1602 1632 1656 1878 2047 2048 2049 2136 2176 2208 2304 2346 2448 2504 2732 2817 2848 2944 3026 3072 3128 3204 3264 3312 3519 3756 4094 4098 4272 4352 4416 4539 4608 4692 4896 5008 5321 5464 5634 5696 5888 6052 6141 6144 6147 6256 6408 6528 6624 7038 7199 7512 8188 8196 8544 8704 8832 9078 9216 9384 9792 10016 10642 10928 11268 11392 11611 11776 12104 12282 12294 12512 12816 13056 13248 13617 14076 14398 15024 15709 15963 16376 16392 17088 17408 17664 18156 18423 18432 18768 19584 20032 21284 21597 21856 22536 22784 23222 23552 24208 24564 24588 25024 25632 26112 26496 27234 27857 28152 28796 30048 31418 31926 32752 32784 34176 34799 34816 34833 35328 36312 36846 37536 39168 40064 42568 43194 43712 45072 45568 46444 47104 47127 47889 48416 49128 49176 50048 51264 52224 52992 54468 55714 56304 57592 60096 60787 62836 63852 64791 65504 65568 68352 69598 69666 70656 72624 73692 75072 78336 80128 83571 85136 86388 87424 90144 91136 92888 94254 95778 96832 98256 98352 100096 102528 104397 104448 104499 105984 108936 111428 112608 115184 120192 121574 122383 125672 127704 129582 131008 131136 136704 139196 139332 141312 141381 145248 147384 150144 156672 160256 167142 170272 172776 174848 180288 182272 182361 185776 188508 191556 193664 196512 196704 200192 205056 208794 208998 211968 213779 217872 222856 225216 230368 240384 243148 244766 250713 251344 255408 259164 262016 262272 267053 273408 278392 278664 282762 290496 294768 300288 313191 313344 320512 334284 340544 345552 349696 360576 364722 367149 371552 377016 383112 387328 393024 393408 400384 410112 417588 417996 423936 427558 435744 445712 450432 460736 473569 480768 486296 489532 501426 502688 510816 518328 524032 524544 534106 546816 547083 556784 557328 565524 580992 589536 600576 626382 640711 641024 641337 668568 681088 691104 699392 721152 729444 734298 743104 754032 766224 774656 786048 786816 800768 801159 820224 835176 835992 855116 871488 891424 900864 921472 947138 961536 972592 979064 1002852 1005376 1021632 1033379 1036656 1048064 1049088 1068212 1094166 1101447 1113568 1114656 1131048 1161984 1179072 1201152 1252764 1281422 1282674 1337136 1362176 1382208 1398101 1398784 1420707 1442304 1458888 1468596 1486208 1508064 1532448 1549312 1572096 1573632 1602318 1640448 1670352 1671984 1710232 1742976 1782848 1801728 1842944 1894276 1922133 1923072 1924011 1945184 1958128 2005704 2010752 2043264 2066758 2073312 2096128 2098176 2136424 2188332 2202894 2227136 2229312 2262096 2323968 2358144 2402304 2403477 2505528 2562844 2565348 2674272 2724352 2764416 2796202 2841414 2884608 2917776 2937192 2972416 3016128 3064896 3098624 3100137 3144192 3147264 3204636 3340704 3343968 3420464 3485952 3565696 3603456 3634243 3685888 3788552 3844266 3848022 3890368 3916256 4011408 4021504 4086528 4133516 4146624 4192256 4194303 4196352 4262121 4272848 4376664 4405788 4454272 4458624 4524192 4647936 4716288 4806954 4916917 5011056 5125688 5130696 5348544 5448704 5528832 5592404 5682828 5766399 5769216 5835552 5874384 5944832 6032256 6129792 6200274 6288384 6294528 6409272 6681408 6687936 6840928 6971904 7131392 7206912 7268486 7371776 7577104 7688532 7696044 7780736 7832512 8022816 8043008 8173056 8267032 8293248 8388606 8524242 8545696 8753328 8811576 8908544 8917248 9048384 9295872 9300411 9432576 9613908 9833834 10022112 10251376 10261392 10697088 10892087 10897408 10902729 11057664 11184808 11365656 11532798 11671104 11748768 11889664 12064512 12259584 12400548 12576768 12582909 12589056 12818544 13362816 13375872 13681856 13943808 14262784 14536972 14743552 14750751 15154208 15377064 15392088 15561472 15665024 16045632 16086016 16346112 16534064 16586496 16777212 17048484 17091392 17506656 17623152 17817088 17834496 18096768 18600822 18865152 19026331 19227816 19667668 20044224 20502752 20522784 21394176 21784174 21805458 22115328 22369616 22731312 23065596 23342208 23497536 23767717 23779328 24129024 24519168 24801096 25165818 25637088 26725632 26751744 27363712 27887616 28525568 29073944 29501502 30308416 30754128 30784176 31122944 31330048 32091264 32172032 32676261 32692224 32708187 33068128 33172992 33554424 34096968 34182784 35013312 35246304 35634176 35668992 36193536 37201644 37730304 38052662 38455632 39335336 40088448 41005504 41045568 42788352 43568348 43610916 44230656 44252253 44739232 45462624 46131192 46684416 46995072 47535434 48258048 49038336 49602192 50331636 51274176 53451264 53503488 54727424 57051136 57078993 58147888 59003004 60616832 61508256 61568352 62245888 62660096 64182528 65352522 65416374 66136256 66345984 67108848 68193936 68365568 70026624 70492608 71268352 71303151 71337984 72387072 74403288 76105324 76911264 78670672 80176896 82011008 82091136 83587589 85576704 87136696 87221832 88504506 89478464 90925248 92262384 93368832 93990144 95070868 96516096 98028783 98076672 99204384 100663272 102548352 106902528 107006976 109454848 114157986 116295776 118006008 121233664 123016512 123136704 124491776 125320192 128365056 130705044 130832748 132272512 132691968 134217696 136387872 136731136 140053248 140985216 142606302 144774144 148806576 152210648 153822528 157341344 160353792 164022016 164182272 167175178 171153408 171236979 174273392 174443664 177009012 178956928 181850496 184524768 186737664 187980288 190141736 196057566 198408768 201326544 205096704 213805056 213909453 214013952 218909696 228315972 232591552 236012016 242467328 246033024 246273408 250640384 250762767 256730112 261410088 261665496 264545024 268435392 272775744 273462272 280106496 281970432 285212604 289548288 297613152 304421296 307645056 314682688 320707584 323447627 328044032 328364544 334350356 342473958 348546784 348887328 354018024 357913856 363700992 369049536 373475328 375960576 380283472 392115132 396817536 402653088 410193408 427818906 437605613 437819392 456631944 465183104 472024032 484934656 492066048 492546816 501525534 513460224 522820176 523330992 529090048 536870784 545551488 546924544 560212992 563940864 570425208 595226304 608842592 615290112 629365376 641415168 646895254 656088064 656729088 668700712 684947916 697093568 697774656 708036048 715827712 727401984 738099072 751921152 752288301 760566944 784230264 793635072 805306176 820386816 855637812 875211226 913263888 930366208 944048064 969869312 970342881 984132096 985093632 1003051068 1045640352 1046661984 1058180096 1073741568 1091102976 1120425984 1127881728 1140850416 1190452608 1217685184 1230580224 1258730752 1293790508 1312176128 1312816839 1313458176 1337401424 1369895832 1394187136 1395549312 1416072096 1431655424 1454803968 1476198144 1504576602 1521133888 1568460528 1587270144 1610612352 1640773632 1711275624 1750422452 1826527776 1860732416 1888096128 1940685762 1968264192 1970187264 2006102136 2091280704 2093323968 2116360192 2147483136 2182205952 2255763456 2281700832 2380905216 2435370368 2461160448 2517461504 2587581016 2625633678 2674802848 2739791664 2788374272 2791098624 2832144192 2863310848 2909607936 2911028643 2952396288 3009153204 3042267776 3136921056 3174540288 3221224704 3422551248 3500844904 3653055552 3721464832 3776192256 3881371524 3936528384 3938450517 3940374528 4012204272 4182561408 4186647936 4294966272 4364411904 4563401664 4761810432 4870740736 4922320896 5034923008 5175162032 5251267356 5349605696 5479583328 5576748544 5582197248 5664288384 5822057286 5904792576 6018306408 6084535552 6273842112 6349080576 6442449408 6845102496 7001689808 7306111104 7439295421 7442929664 7552384512 7762743048 7876901034 8024408544 8365122816 8373295872 8589932544 8728823808 9126803328 9523620864 9741481472 10069846016 10350324064 10502534712 10699211392 10959166656 11153497088 11164394496 11328576768 11644114572 11809585152 12036612816 12169071104 12547684224 12884898816 13690204992 14003379616 14612222208 14878590842 15104769024 15525486096 15753802068 16048817088 16730245632 16746591744 18253606656 19047241728 19482962944 20700648128 21005069424 21398422784 21918333312 22306994176 22317886263 22328788992 22657153536 23288229144 24073225632 24338142208 25095368448 25769797632 27380409984 28006759232 29224444416 29757181684 30209538048 31050972192 31507604136 32097634176 33460491264 33493183488 36507213312 38965925888 41401296256 42010138848 42796845568 43836666624 44635772526 45314307072 46576458288 48146451264 48676284416 50190736896 54760819968 56013518464 58448888832 59514363368 62101944384 63015208272 64195268352 66920982528 66953658789 66986366976 73014426624 82802592512 84020277696 85593691136 87673333248 89271545052 90628614144 93152916576 96292902528 100381473792 109521639936 112027036928 116897777664 119028726736 124203888768 126030416544 128390536704 133907317578 146028853248 165605185024 168040555392 171187382272 175346666496 178543090104 186305833152 192585805056 200762947584 219043279872 224054073856 238057453472 248407777536 252060833088 256781073408 267814635156 331210370048 336081110784 350693332992 357086180208 372611666304 385171610112 438086559744 448108147712 476114906944 496815555072 504121666176 513562146816 535629270312 662420740096 672162221568 714172360416 745223332608 770343220224 896216295424 952229813888 993631110144 1008243332352 1071258540624 1344324443136 1428344720832 1490446665216 1540686440448 1904459627776 1987262220288 2016486664704 2142517081248 2688648886272 2856689441664 2980893330432 3808919255552 4032973329408 4285034162496 5713378883328 5961786660864 7617838511104 8065946658816 8570068324992 11426757766656 15235677022208 17140136649984 22853515533312 34280273299968 45707031066624 68560546599936 137121093199872
- Sum of all divisors σ(n): 444538381996800
- Sum of proper divisors (its aliquot sum) s(n): 307417288796928
- 137121093199872 is an abundant number, because the sum of its proper divisors (307417288796928) is greater than itself. Its abundance is 170296195597056
Bases of 137121093199872
- Binary: 111110010110101111111100000110100101000000000002
- Hexadecimal: 0x7CB5FE0D2800
- Base-36: 1CLSK6J280
Squares and roots of 137121093199872
- 137121093199872 squared (1371210931998722) is 18802194200327983240140816384
- 137121093199872 cubed (1371210931998723) is 2578177423305266179581744882659812964302848
-
The
square root of 137121093199872 is 11709871.6132958521 -
The
cube root of 137121093199872 is 51566.5514951363
Scales and comparisons
How big is 137121093199872?- 137,121,093,199,872 seconds is equal to 4,360,026 years, 32 weeks, 1 day, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,121,093,199,872 would take you about ten million, nine hundred thousand and sixty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137121093199872 cubic inches would be around 4297.2 feet tall.
Recreational maths with 137121093199872
- 137121093199872 backwards is 278991390121731
- The number of decimal digits it has is: 15
- The sum of 137121093199872's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137121093199872 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 137121093199872 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137121093199872/
Chicago style:
Numbermatics. 2024. "Number 137121093199872 - Facts about the integer". https://numbermatics.com/n/137121093199872/
The information we have on file for 137121093199872 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137121093199872, math, Factors of 137121093199872, curriculum, school, college, exams, university, Prime factorization of 137121093199872, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred twenty-one billion, ninety-three million, one hundred ninety-nine thousand, eight hundred seventy-two.