72641961520128
72,641,961,520,128 is an even composite number composed of seven prime numbers multiplied together.
72641961520128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 72641961520128:
210 × 33 × 7 × 11 × 13 × 292 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 29 × 29 × 3121)See below for interesting mathematical facts about the number 72641961520128 from the Numbermatics database.
Names of 72641961520128
- Cardinal: 72641961520128 can be written as Seventy-two trillion, six hundred forty-one billion, nine hundred sixty-one million, five hundred twenty thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 7.2641961520128 × 1013
Factors of 72641961520128
Divisors of 72641961520128
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 29 32 33 36 39 42 44 48 52 54 56 58 63 64 66 72 77 78 84 87 88 91 96 99 104 108 112 116 117 126 128 132 143 144 154 156 168 174 176 182 189 192 198 203 208 216 224 231 232 234 252 256 261 264 273 286 288 297 308 312 319 336 348 351 352 364 377 378 384 396 406 416 429 432 448 462 464 468 504 512 522 528 546 572 576 594 609 616 624 638 672 693 696 702 704 728 754 756 768 783 792 812 819 832 841 858 864 896 924 928 936 957 1001 1008 1024 1044 1056 1092 1131 1144 1152 1188 1218 1232 1248 1276 1287 1344 1386 1392 1404 1408 1456 1508 1512 1536 1566 1584 1624 1638 1664 1682 1716 1728 1792 1827 1848 1856 1872 1914 2002 2016 2079 2088 2112 2184 2233 2262 2288 2304 2376 2436 2457 2464 2496 2523 2552 2574 2639 2688 2772 2784 2808 2816 2871 2912 3003 3016 3024 3072 3121 3132 3168 3248 3276 3328 3364 3393 3432 3456 3584 3654 3696 3712 3744 3828 3861 4004 4032 4147 4158 4176 4224 4368 4466 4524 4576 4608 4752 4872 4914 4928 4992 5046 5104 5148 5278 5376 5481 5544 5568 5616 5632 5742 5824 5887 6006 6032 6048 6242 6264 6336 6496 6552 6656 6699 6728 6786 6864 6912 7168 7308 7392 7424 7488 7569 7656 7722 7917 8008 8064 8294 8316 8352 8448 8613 8736 8932 9009 9048 9152 9216 9251 9363 9504 9744 9828 9856 9984 10092 10179 10208 10296 10556 10752 10933 10962 11088 11136 11232 11264 11484 11648 11774 12012 12064 12096 12441 12484 12528 12672 12992 13104 13312 13398 13456 13572 13728 13824 14616 14784 14848 14976 15138 15312 15444 15834 16016 16128 16588 16632 16704 16896 17226 17472 17661 17864 18018 18096 18304 18502 18726 19008 19488 19656 19712 19968 20097 20184 20358 20416 20592 21112 21504 21847 21866 21924 22176 22272 22464 22707 22968 23296 23548 23751 24024 24128 24192 24882 24968 25056 25344 25984 26208 26796 26912 27027 27144 27456 27648 27753 28089 29029 29232 29568 29696 29952 30276 30624 30888 31668 32032 32256 32799 33176 33264 33408 33792 34331 34452 34944 35322 35728 36036 36192 36608 37004 37323 37452 38016 38976 39312 39424 39936 40194 40368 40573 40716 40832 41184 42224 43694 43732 43848 44352 44544 44928 45414 45936 46592 47096 47502 48048 48256 48384 49764 49936 50112 50688 51968 52416 52983 53592 53824 54054 54288 54912 55506 56178 58058 58464 59136 59904 60291 60552 61248 61776 63336 64064 64512 64757 65541 65598 66352 66528 66816 68662 68904 69888 70644 71253 71456 72072 72384 73216 74008 74646 74904 76032 76531 77952 78624 78848 80388 80736 81146 81432 81664 82368 83259 84267 84448 87087 87388 87464 87696 88704 89088 89856 90509 90828 91872 93184 94192 95004 96096 96512 96768 98397 99528 99872 100224 101376 102993 103936 104832 105966 107184 107648 108108 108576 109824 111012 111969 112356 116116 116928 118272 119808 120263 120582 121104 121719 122496 123552 126672 128128 129514 131082 131196 132704 133056 133632 137324 137808 139776 141288 142506 142912 144144 144768 146432 148016 149292 149808 152064 153062 155904 157248 158949 160776 161472 162292 162864 163328 164736 166518 168534 168896 174174 174776 174928 175392 177408 179712 181018 181656 183744 188384 190008 192192 193024 193536 194271 196623 196794 199056 199744 200448 205986 207872 209664 211932 214368 215296 216216 217152 219648 222024 223938 224712 229593 232232 233856 236544 240317 240526 241164 242208 243438 244992 247104 249777 253344 256256 259028 261261 262164 262392 265408 266112 267264 271527 274648 275616 279552 282576 284011 285012 285824 288288 289536 295191 296032 298584 299616 304128 306124 308979 311808 314496 317898 321552 322944 324584 325728 326656 329472 333036 337068 337792 348348 349552 349856 350784 354816 359424 360789 362036 363312 365157 367488 376768 380016 384384 386048 388542 393246 393588 398112 399488 400896 411972 419328 423864 428736 430592 432432 434304 439296 444048 446303 447876 449424 459186 464464 467712 480634 481052 482328 484416 486876 489984 494208 499554 506688 512512 518056 522522 524328 524784 530816 532224 543054 549296 551232 565152 568022 570024 571648 576576 579072 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384349002752 399131656704 412738417728 417482537472 432392628096 465653599488 471701048832 504458066112 507985744896 550317890304 567515324376 576523504128 620871465984 626223806208 648588942144 672610754816 698480399232 733757187072 756687099168 798263313408 825476835456 834965074944 864785256192 931307198976 943402097664 1008916132224 1100635780608 1135030648752 1153047008256 1252447612416 1297177884288 1345221509632 1396960798464 1513374198336 1650953670912 1729570512384 1862614397952 2017832264448 2201271561216 2270061297504 2504895224832 2594355768576 2690443019264 2793921596928 3026748396672 3301907341824 3459141024768 4035664528896 4540122595008 5188711537152 5587843193856 6053496793344 6603814683648 8071329057792 9080245190016 10377423074304 12106993586688 18160490380032 24213987173376 36320980760064 72641961520128
- Sum of all divisors σ(n): 299245863920640
- Sum of proper divisors (its aliquot sum) s(n): 226603902400512
- 72641961520128 is an abundant number, because the sum of its proper divisors (226603902400512) is greater than itself. Its abundance is 153961940880384
Bases of 72641961520128
- Binary: 100001000010001010001100100111111101100000000002
- Hexadecimal: 0x4211464FEC00
- Base-36: PQZ98BUO0
Squares and roots of 72641961520128
- 72641961520128 squared (726419615201282) is 5276854573491757052549136384
- 72641961520128 cubed (726419615201283) is 383321066874899665233869928018486233137152
-
The
square root of 72641961520128 is 8523025.3736644477 -
The
cube root of 72641961520128 is 41724.9528170159
Scales and comparisons
How big is 72641961520128?- 72,641,961,520,128 seconds is equal to 2,309,789 years, 35 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 72,641,961,520,128 would take you about five million, seven hundred seventy-four thousand, four hundred seventy-four 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 72641961520128 cubic inches would be around 3477.1 feet tall.
Recreational maths with 72641961520128
- 72641961520128 backwards is 82102516914627
- 72641961520128 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72641961520128's digits is 54
- More coming soon!
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MLA style:
"Number 72641961520128 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 72641961520128 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/72641961520128/
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The information we have on file for 72641961520128 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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