137690789197104
137,690,789,197,104 is an even composite number composed of six prime numbers multiplied together.
What does the number 137690789197104 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
137690789197104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137690789197104:
24 × 35 × 11 × 136 × 23 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 23 × 29)See below for interesting mathematical facts about the number 137690789197104 from the Numbermatics database.
Names of 137690789197104
- Cardinal: 137690789197104 can be written as One hundred thirty-seven trillion, six hundred ninety billion, seven hundred eighty-nine million, one hundred ninety-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37690789197104 × 1014
Factors of 137690789197104
Divisors of 137690789197104
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 29 33 36 39 44 46 48 52 54 58 66 69 72 78 81 87 88 92 99 104 108 116 117 132 138 143 144 156 162 169 174 176 184 198 207 208 216 232 234 243 253 261 264 276 286 297 299 312 319 324 338 348 351 368 377 396 414 429 432 464 468 486 506 507 522 528 552 572 594 598 621 624 638 648 667 676 696 702 754 759 783 792 828 858 891 897 936 957 972 1012 1014 1044 1053 1104 1131 1144 1188 1196 1242 1276 1287 1296 1334 1352 1392 1404 1508 1518 1521 1566 1584 1656 1716 1782 1794 1859 1863 1872 1914 1944 2001 2024 2028 2088 2106 2197 2262 2277 2288 2349 2376 2392 2484 2552 2574 2668 2673 2691 2704 2808 2871 3016 3036 3042 3132 3159 3289 3312 3393 3432 3564 3588 3718 3726 3828 3861 3887 3888 4002 4048 4056 4147 4176 4212 4394 4524 4554 4563 4698 4752 4784 4901 4968 5104 5148 5336 5346 5382 5577 5589 5616 5742 6003 6032 6072 6084 6264 6318 6578 6591 6786 6831 6864 7047 7128 7176 7337 7436 7452 7656 7722 7774 8004 8073 8112 8294 8424 8613 8671 8788 9048 9108 9126 9396 9802 9867 9936 10179 10296 10672 10692 10764 11154 11178 11484 11583 11661 12006 12144 12168 12441 12528 12636 13156 13182 13572 13662 13689 14094 14256 14352 14674 14703 14872 14904 15312 15444 15548 16008 16146 16588 16731 16848 17226 17342 17576 18009 18096 18216 18252 18792 19604 19734 19773 20358 20493 20592 21384 21528 22011 22308 22356 22968 23166 23322 24012 24167 24219 24336 24882 25272 25839 26013 26312 26364 27144 27324 27378 28188 28561 29348 29406 29601 29744 29808 30537 30888 31096 32016 32292 33176 33462 34452 34684 34749 34983 35152 36018 36432 36504 37323 37584 39208 39468 39546 40716 40986 41067 42757 42768 43056 44022 44109 44616 44712 45936 46332 46644 48024 48334 48438 49764 50193 50531 50544 51678 52026 52624 52728 53911 54027 54288 54648 54756 56376 57122 58696 58812 59202 59319 61074 61479 61776 62192 63713 64584 66033 66352 66924 68904 69368 69498 69966 72036 72501 72657 73008 74646 77517 78039 78416 78936 79092 81432 81972 82134 85514 85683 88044 88218 88803 89232 89424 91611 92664 93288 95381 96048 96668 96876 99528 100386 101062 103356 104052 104949 105456 107822 108054 109296 109512 111969 112723 112752 114244 117392 117624 118404 118638 122148 122958 127426 128271 129168 132066 132327 133848 137808 138736 138996 139932 144072 145002 145314 149292 150579 151593 155034 156078 157872 158184 161733 162081 162864 163944 164268 171028 171366 176088 176436 177606 177957 183222 185328 186576 190762 191139 193336 193752 198099 199056 200772 202124 206712 208104 209898 215644 216108 217503 219024 223938 225446 228488 234117 235248 236808 237276 244296 245916 254852 256542 257049 264132 264654 266409 267696 277992 279864 286143 288144 290004 290628 298584 301158 303186 310068 312156 314171 314847 316368 323466 324162 327888 328536 335907 338169 342056 342732 352176 352872 355212 355914 366444 371293 381524 382278 384813 386672 387504 396198 396981 401544 404248 413424 416208 419796 431288 432216 435006 447876 450892 451737 454779 456976 468234 473616 474552 485199 488592 491832 509704 513084 514098 528264 529308 532818 533871 555841 555984 559728 572286 573417 580008 581256 594297 597168 602316 606372 620136 624312 628342 629694 646932 648324 652509 656903 657072 671814 676338 684112 685464 700843 702351 705744 710424 711828 732888 742586 763048 764556 769626 771147 792396 793962 799227 803088 808496 828269 839592 858429 862576 864432 870012 895752 901784 903474 909558 936468 942513 944541 949104 970398 983664 1007721 1014507 1019408 1026168 1028196 1056528 1058616 1065636 1067742 1111682 1113879 1144572 1146834 1154439 1160016 1162512 1188594 1190943 1204632 1212744 1239953 1240272 1248624 1256684 1259388 1293864 1296648 1305018 1313806 1343628 1352676 1364337 1370928 1401686 1404702 1420848 1423656 1455597 1465399 1465776 1485172 1526096 1529112 1539252 1542294 1584792 1587924 1598454 1656538 1667523 1679184 1716858 1720251 1740024 1782891 1791504 1803568 1806948 1819116 1872936 1885026 1889082 1940796 1957527 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247716144 257910224 258419928 260133588 260647686 267829848 268359156 270138726 279954922 281811387 283782096 290149002 290722419 294064056 301308579 302764176 304802992 305374212 307430604 316526184 318569394 319254858 327994524 330822063 333049821 340609698 342903366 346844784 347530248 355327401 356091957 357812208 360184968 360896796 370841328 375748516 386865336 387629892 390200382 390971529 401744772 402538734 407165616 409907472 419104114 419932383 424759192 425673144 435223503 437326032 438267024 441096084 444066428 454146264 457204488 461145906 473769868 474789276 477854091 481195728 491991786 495304862 514355049 516839856 520267176 521295372 535659696 536718312 540277452 559909844 563622774 580298004 581444838 585300573 588128112 602617158 610748424 614861208 628656171 633052368 637138788 638509716 655989048 661644126 666099642 681219396 685806732 691718859 695060496 710654802 712183914 720369936 721793592 737987679 742957293 751497032 773730672 775259784 780400764 781943058 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28781519481 28975334427 29308384248 30175496208 30235131576 30435629796 31336092216 32690120892 32971932279 33202505232 33947433234 34014523023 34405494552 35414297633 35423408592 35661950064 35969380668 36954049704 37033563528 38375359308 38633779236 40119693822 40580839728 41573305917 41864028336 43586827856 43962576372 45263244312 45352697364 45653444694 47959174224 49035181338 50921149851 51167145744 51511705648 51608241828 53492925096 53954071002 55431074556 57563038962 57950668854 58616768496 60179540733 60470263152 60871259592 62672184432 65380241784 65943864558 67894866468 68029046046 68810989104 70828595266 71938761336 73552772007 73908099408 74067127056 76750718616 77267558472 80239387644 83146611834 86926003281 87925152744 90526488624 90705394728 91306889388 98070362676 98915796837 101842299702 103216483656 106242892899 106985850192 107908142004 110862149112 115126077924 115901337708 120359081466 121742519184 124719917751 130760483568 131887729116 135789732936 136058092092 141657190532 143877522672 147105544014 153501437232 154535116944 160478775288 166293223668 173852006562 175850305488 181410789456 182613778776 196140725352 197831593674 203684599404 206432967312 212485785798 215816284008 220658316021 221724298224 230252155848 231802675416 240718162932 249439835502 260778009843 263775458232 271579465872 272116184184 283314381064 294211088028 296747390511 318728678697 320957550576 332586447336 347704013124 365227557552 374159753253 392281450704 395663187348 407369198808 424971571596 431632568016 441316632042 460504311696 463605350832 481436325864 498879671004 521556019686 527550916464 544232368368 566628762128 588422176056 593494781022 637457357394 661974948063 665172894672 695408026248 748319506506 782334029529 791326374696 814738397616 849943143192 882633264084 956186036091 962872651728 997759342008 1043112039372 1176844352112 1186989562044 1274914714788 1323949896126 1390816052496 1496639013012 1564668059058 1582652749392 1699886286384 1765266528168 1912372072182 1995518684016 2086224078744 2373979124088 2549829429576 2647899792252 2868558108273 2993278026024 3129336118116 3530533056336 3824744144364 4172448157488 4747958248176 5099658859152 5295799584504 5737116216546 5986556052048 6258672236232 7649488288728 8605674324819 10591599169008 11474232433092 12517344472464 15298976577456 17211348649638 22948464866184 34422697299276 45896929732368 68845394598552 137690789197104
- Sum of all divisors σ(n): 509799063271680
- Sum of proper divisors (its aliquot sum) s(n): 372108274074576
- 137690789197104 is an abundant number, because the sum of its proper divisors (372108274074576) is greater than itself. Its abundance is 234417484877472
Bases of 137690789197104
- Binary: 111110100111010101000101001010000110101001100002
- Hexadecimal: 0x7D3AA2943530
- Base-36: 1CT29WTF00
Squares and roots of 137690789197104
- 137690789197104 squared (1376907891971042) is 18958753429721331588961986816
- 137690789197104 cubed (1376907891971043) is 2610445721931632332626592997213401273380864
-
The
square root of 137690789197104 is 11734171.8581715003 -
The
cube root of 137690789197104 is 51637.8672118939
Scales and comparisons
How big is 137690789197104?- 137,690,789,197,104 seconds is equal to 4,378,141 years, 9 weeks, 6 days, 11 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,690,789,197,104 would take you about ten million, nine hundred forty-five thousand, three hundred fifty-two 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 137690789197104 cubic inches would be around 4303.2 feet tall.
Recreational maths with 137690789197104
- 137690789197104 backwards is 401791987096731
- 137690789197104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137690789197104's digits is 72
- More coming soon!
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"Number 137690789197104 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137690789197104 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137690789197104/
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The information we have on file for 137690789197104 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!
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