137221001950883136
137,221,001,950,883,136 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137221001950883136 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
137221001950883136 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137221001950883136:
26 × 3 × 11 × 132 × 31 × 233 × 1559 × 34141
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 31 × 233 × 1559 × 34141)See below for interesting mathematical facts about the number 137221001950883136 from the Numbermatics database.
Names of 137221001950883136
- Cardinal: 137221001950883136 can be written as One hundred thirty-seven quadrillion, two hundred twenty-one trillion, one billion, nine hundred fifty million, eight hundred eighty-three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37221001950883136 × 1017
Factors of 137221001950883136
Divisors of 137221001950883136
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 64 66 78 88 93 96 104 124 132 143 156 169 176 186 192 208 233 248 264 286 312 338 341 352 372 403 416 429 466 496 507 528 572 624 676 682 699 704 744 806 832 858 932 992 1014 1023 1056 1144 1209 1248 1352 1364 1398 1488 1559 1612 1716 1859 1864 1984 2028 2046 2112 2288 2418 2496 2563 2704 2728 2796 2976 3029 3118 3224 3432 3718 3728 4056 4092 4433 4576 4677 4836 5126 5239 5408 5456 5577 5592 5952 6058 6236 6448 6864 7223 7436 7456 7689 8112 8184 8866 9087 9152 9354 9672 10252 10478 10816 10912 11154 11184 12116 12472 12896 13299 13728 14446 14872 14912 15378 15717 16224 16368 17149 17732 18174 18708 19344 20267 20504 20956 21669 21824 22308 22368 24232 24944 25792 26598 27456 28892 29744 30756 31434 32448 32736 33319 34141 34298 35464 36348 37416 38688 39377 40534 41008 41912 43338 44616 44736 48329 48464 49888 51447 53196 57629 57784 59488 60801 61512 62868 65472 66638 68282 68596 70928 72696 74832 77376 78754 79453 81068 82016 83824 86676 89232 93899 96658 96928 99776 99957 102423 102894 106392 115258 115568 118131 118976 121602 123024 125736 133276 136564 137192 141856 144987 145392 149664 157508 158906 162136 164032 167648 172887 173352 178464 187798 193316 193856 199914 204846 205788 212784 222937 230516 231136 236262 238359 243204 246048 251472 263471 266552 273128 274384 281697 283712 289974 290784 299328 315016 317812 324272 335296 345774 346704 356928 363247 375551 375596 386632 399828 409692 411576 425568 433147 443833 445874 461032 462272 472524 476718 486408 492096 502944 526942 531619 533104 546256 548768 563394 579948 581568 628277 630032 635624 648544 668811 691548 693408 726494 751102 751192 773264 790413 799656 819384 823152 851136 866294 887666 891748 922064 945048 953436 972816 1005888 1032889 1053884 1058371 1063238 1066208 1089741 1092512 1097536 1126653 1126788 1159896 1220687 1256554 1260064 1271248 1297088 1299441 1331499 1337622 1383096 1386816 1452988 1502204 1502384 1546528 1580826 1594857 1599312 1638768 1646304 1732588 1775332 1783496 1844128 1884831 1890096 1906872 1945632 2065778 2107768 2116742 2126476 2132416 2179482 2185024 2253306 2253576 2319792 2441374 2513108 2520128 2542496 2598882 2662998 2675244 2766192 2898181 2905976 3004408 3004768 3093056 3098667 3161652 3175113 3189714 3198624 3277536 3292608 3465176 3550664 3566992 3662061 3688256 3769662 3780192 3813744 3891264 3995717 4131556 4215536 4233484 4252952 4358964 4506612 4507152 4639584 4722211 4882163 4882748 5026216 5084992 5197764 5325996 5350488 5532384 5769829 5796362 5811952 6008816 6009536 6197334 6323304 6350226 6379428 6397248 6555072 6911047 6930352 7101328 7133984 7324122 7539324 7560384 7627488 7954853 7991434 8167601 8263112 8431072 8466968 8505904 8694543 8717928 9013224 9014304 9279168 9444422 9764326 9765496 10052432 10395528 10651992 10700976 11064768 11260657 11539658 11592724 11623904 11642081 11987151 12017632 12394668 12646608 12700452 12758856 13427557 13758823 13822094 13860704 14166633 14202656 14267968 14646489 14648244 15078648 15254976 15909706 15982868 16335202 16526224 16862144 16933936 17011808 17309487 17389086 17435856 18026448 18028608 18888844 19528652 19530992 20104864 20733141 20791056 21303984 21401952 22521314 23079316 23185448 23247808 23284162 23864559 23974302 24035264 24502803 24789336 25293216 25400904 25517712 26855114 27517646 27644188 27721408 28333266 28405312 29292978 29296488 30157296 31819412 31965736 32670404 33052448 33781971 33867872 34023616 34618974 34778172 34871712 34926243 36052896 37777688 39057304 39061984 40209728 40282671 41276469 41466282 41582112 42607968 42803904 45042628 46158632 46370896 46568324 47729118 47948604 49005606 49578672 50586432 50801808 51035424 51944321 53225819 53710228 55035292 55288376 56666532 58585956 58592976 60314592 61388743 63468119 63638824 63931472 65340808 66104896 67563942 67735744 69237948 69556344 69743424 69852486 72105792 75555376 78114608 78123968 80565342 82552938 82932564 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36907208701152 39982809426248 42562345518264 44009301459552 45302410680384 46109207644786 49077611570416 50300953794312 50747411964084 53539212622272 54976362961091 56749794024352 59974214139372 64972065317653 67067938392416 67663215952112 69163811467179 73616417355624 73814417402304 79965618852496 85124691036528 88018602919104 92218415289572 98155223140832 100601907588624 101494823928168 109952725922182 113499588048704 119948428278744 129944130635306 134135876784832 135326431904224 138327622934358 147232834711248 159931237704992 164929088883273 170249382073056 184436830579144 194916195952959 196310446281664 201203815177248 202989647856336 219905451844364 239896856557488 259888261270612 270652863808448 276655245868716 294465669422496 319862475409984 329858177766546 340498764146112 368873661158288 389832391905918 402407630354496 405979295712672 439810903688728 479793713114976 519776522541224 553310491737432 588931338844992 659716355533092 714692718494183 737747322316576 779664783811836 811958591425344 879621807377456 959587426229952 1039553045082448 1106620983474864 1319432711066184 1429385436988366 1475494644633152 1559329567623672 1759243614754912 2079106090164896 2144078155482549 2213241966949728 2638865422132368 2858770873976732 3118659135247344 3518487229509824 4158212180329792 4288156310965098 4426483933899456 5277730844264736 5717541747953464 6237318270494688 8576312621930196 10555461688529472 11435083495906928 12474636540989376 17152625243860392 22870166991813856 34305250487720784 45740333983627712 68610500975441568 137221001950883136
- Sum of all divisors σ(n): 444913352907079680
- Sum of proper divisors (its aliquot sum) s(n): 307692350956196544
- 137221001950883136 is an abundant number, because the sum of its proper divisors (307692350956196544) is greater than itself. Its abundance is 170471349005313408
Bases of 137221001950883136
- Binary: 1111001111000000111000110001101010000000101101101010000002
- Hexadecimal: 0x1E781C635016D40
- Base-36: 11J4SA1G9YYO
Squares and roots of 137221001950883136
- 137221001950883136 squared (1372210019508831362) is 18829603376404273416057010329194496
- 137221001950883136 cubed (1372210019508831363) is 2583817041647926487020516340101131001419350710419456
-
The
square root of 137221001950883136 is 370433532.4331250873 -
The
cube root of 137221001950883136 is 515790.7254222433
Scales and comparisons
How big is 137221001950883136?- 137,221,001,950,883,136 seconds is equal to 4,363,203,409 years, 31 weeks, 5 days, 4 hours, 25 minutes, 36 seconds.
-
To count from 1 to 137,221,001,950,883,136 would take you about thirteen billion, eighty-nine million, six hundred ten thousand, two hundred twenty-eight 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 137221001950883136 cubic inches would be around 42982.6 feet tall.
Recreational maths with 137221001950883136
- 137221001950883136 backwards is 631388059100122731
- The number of decimal digits it has is: 18
- The sum of 137221001950883136's digits is 60
- More coming soon!
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"Number 137221001950883136 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 137221001950883136 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137221001950883136/
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Numbermatics. 2024. "Number 137221001950883136 - Facts about the integer". https://numbermatics.com/n/137221001950883136/
The information we have on file for 137221001950883136 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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