72948967083143424
72,948,967,083,143,424 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72948967083143424 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
72948967083143424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 72948967083143424:
28 × 32 × 7 × 13 × 412 × 59 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 41 × 41 × 59 × 1873 × 1873)See below for interesting mathematical facts about the number 72948967083143424 from the Numbermatics database.
Names of 72948967083143424
- Cardinal: 72948967083143424 can be written as Seventy-two quadrillion, nine hundred forty-eight trillion, nine hundred sixty-seven billion, eighty-three million, one hundred forty-three thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 7.2948967083143424 × 1016
Factors of 72948967083143424
Divisors of 72948967083143424
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 41 42 48 52 56 59 63 64 72 78 82 84 91 96 104 112 117 118 123 126 128 144 156 164 168 177 182 192 208 224 234 236 246 252 256 273 287 288 312 328 336 354 364 369 384 413 416 448 468 472 492 504 531 533 546 574 576 624 656 672 708 728 738 767 768 819 826 832 861 896 936 944 984 1008 1062 1066 1092 1148 1152 1239 1248 1312 1344 1416 1456 1476 1534 1599 1638 1652 1664 1681 1722 1792 1872 1873 1888 1968 2016 2124 2132 2184 2296 2301 2304 2419 2478 2496 2583 2624 2688 2832 2912 2952 3068 3198 3276 3304 3328 3362 3444 3717 3731 3744 3746 3776 3936 4032 4248 4264 4368 4592 4602 4797 4838 4956 4992 5043 5166 5248 5369 5376 5619 5664 5824 5904 6136 6396 6552 6608 6724 6888 6903 7257 7434 7462 7488 7492 7552 7872 8064 8496 8528 8736 9184 9204 9594 9676 9912 9984 10086 10332 10496 10738 11193 11238 11328 11648 11767 11808 12272 12792 13104 13111 13216 13448 13776 13806 14514 14868 14924 14976 14984 15104 15129 15744 16107 16128 16857 16933 16992 17056 17472 18368 18408 19188 19352 19824 20172 20664 21476 21771 21853 22386 22476 22656 23296 23534 23616 24349 24544 25584 26208 26222 26432 26896 27552 27612 29028 29736 29848 29952 29968 30258 31447 31488 32214 33579 33714 33866 33984 34112 34944 35301 36736 36816 38376 38704 39333 39648 40344 41328 42952 43542 43706 44772 44952 45312 47068 47232 48321 48698 49088 50799 51168 52416 52444 52864 53792 55104 55224 58056 59472 59696 59936 60516 62894 64428 65559 67158 67428 67732 67968 68224 69888 70602 73047 73472 73632 76752 76793 77408 78666 79296 80688 82656 85904 87084 87412 89544 89904 94136 94341 94464 96642 97396 98176 99179 101598 102336 104832 104888 105728 105903 107584 110208 110448 110507 116112 117999 118944 119392 119872 121032 125788 128856 131118 134316 134856 135464 135936 136448 141204 146094 147264 152397 152971 153504 153586 154816 157332 158592 161376 165312 170443 171808 174168 174824 179088 179808 188272 188682 193284 194792 196352 196677 198358 203196 204672 209664 209776 211806 215168 219141 220129 220416 220896 221014 230379 232224 235998 237888 238784 239744 242064 251576 257712 262236 268632 269712 270928 282408 283023 292188 294528 297537 304794 305942 307008 307172 309632 314664 317184 322752 330624 331521 340886 343616 348336 349648 358176 359616 376544 377364 386568 389584 393354 396716 406392 409344 419552 423612 430336 438282 440258 441792 442028 458913 460758 464448 471996 475776 477568 479488 484128 503152 511329 515424 524472 537264 537551 539424 541856 564816 566046 584376 589056 595074 609588 611884 614016 614344 619264 629328 645504 660387 661248 663042 681772 687232 691137 694253 696672 699296 716352 719232 753088 754728 773136 773549 779168 786708 793432 812784 839104 847224 876564 880516 883584 884056 892611 917826 921516 928896 943992 951552 955136 968256 994563 998309 1006304 1022658 1030848 1048944 1074528 1075102 1078848 1083712 1129632 1132092 1168752 1190148 1219176 1223768 1228032 1228688 1258656 1289327 1291008 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154554206144 157065951588 158323820928 158960341248 165032457408 165120615772 165695948928 166442991232 169516301409 172207036352 173873481912 178209445071 179503944672 183882089664 185453731456 187248365136 188709275168 193311940416 193732915896 202852395564 203667937224 208635447888 209421268784 212297934564 213998131584 220043276544 220640265326 226021735212 229989429111 231831309216 235598927382 237485731392 237612593428 238440511872 239338592896 245176119552 247680923658 249664486848 257749253888 258310554528 269255917008 270469860752 271557249632 278180597184 283063912752 289967910624 301362313616 304278593346 305501905836 306652572148 309108412288 314131903176 316647641856 330064914816 330241231544 330960397989 331391897856 332885982464 339032602818 344414072704 347746963824 347932726091 356418890142 359007889344 367764179328 370907462912 371521385487 374496730272 377418550336 386623880832 387465831792 405704791128 407335874448 417270895776 418842537568 424595869128 427996263168 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98846838866048 100204625114208 103035264241728 108555010540392 111202693724304 116905395966576 126647512297124 127088792827776 133606166818944 136864853814528 137380352322304 144740014053856 148270258299072 154552896362592 155873861288768 162832515810588 175358093949864 176631881557248 189971268445686 197693677732096 200409250228416 206070528483456 217110021080784 222405387448608 233810791933152 253295024594248 254177585655552 267212333637888 284956902668529 289480028107712 296540516598144 309105792725184 311747722577536 325665031621176 350716187899728 379942536891372 400818500456832 412141056966912 434220042161568 444810774897216 467621583866304 506590049188496 569913805337058 578960056215424 593081033196288 618211585450368 623495445155072 651330063242352 701432375799456 759885073782744 801637000913664 868440084323136 889621549794432 935243167732608 1013180098376992 1139827610674116 1157920112430848 1236423170900736 1302660126484704 1402864751598912 1519770147565488 1736880168646272 1779243099588864 1870486335465216 2026360196753984 2279655221348232 2605320252969408 2805729503197824 3039540295130976 3473760337292544 4052720393507968 4559310442696464 5210640505938816 5611459006395648 6079080590261952 8105440787015936 9118620885392928 10421281011877632 12158161180523904 18237241770785856 24316322361047808 36474483541571712 72948967083143424
- Sum of all divisors σ(n): 269976703769922240
- Sum of proper divisors (its aliquot sum) s(n): 197027736686778816
- 72948967083143424 is an abundant number, because the sum of its proper divisors (197027736686778816) is greater than itself. Its abundance is 124078769603635392
Bases of 72948967083143424
- Binary: 1000000110010101010110010111101011011100011110001000000002
- Hexadecimal: 0x1032AB2F5B8F100
- Base-36: JYA90U2SE80
Squares and roots of 72948967083143424
- 72948967083143424 squared (729489670831434242) is 5321551798497542794198844954443776
- 72948967083143424 cubed (729489670831434243) is 388201706979839936395543095516054825136971552129024
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The
square root of 72948967083143424 is 270090664.5612606581 -
The
cube root of 72948967083143424 is 417836.5070399769
Scales and comparisons
How big is 72948967083143424?- 72,948,967,083,143,424 seconds is equal to 2,319,551,507 years, 14 weeks, 1 day, 11 hours, 50 minutes, 24 seconds.
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To count from 1 to 72,948,967,083,143,424 would take you about six billion, nine hundred fifty-eight million, six hundred fifty-four thousand, five hundred twenty-one 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 72948967083143424 cubic inches would be around 34819.7 feet tall.
Recreational maths with 72948967083143424
- 72948967083143424 backwards is 42434138076984927
- The number of decimal digits it has is: 17
- The sum of 72948967083143424's digits is 81
- More coming soon!
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The information we have on file for 72948967083143424 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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