13972073261328
13,972,073,261,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13972073261328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
13972073261328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13972073261328:
24 × 33 × 72 × 132 × 192 × 31 × 349
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 19 × 19 × 31 × 349)See below for interesting mathematical facts about the number 13972073261328 from the Numbermatics database.
Names of 13972073261328
- Cardinal: 13972073261328 can be written as Thirteen trillion, nine hundred seventy-two billion, seventy-three million, two hundred sixty-one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3972073261328 × 1013
Factors of 13972073261328
Divisors of 13972073261328
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 31 36 38 39 42 48 49 52 54 56 57 62 63 72 76 78 84 91 93 98 104 108 112 114 117 124 126 133 144 147 152 156 168 169 171 182 186 189 196 208 216 217 228 234 247 248 252 266 273 279 294 304 312 336 338 342 349 351 361 364 372 378 392 399 403 432 434 441 456 468 494 496 504 507 513 532 546 558 588 589 624 637 651 676 684 698 702 722 728 741 744 756 784 798 806 819 837 868 882 912 931 936 988 1008 1014 1026 1047 1064 1083 1092 1116 1176 1178 1183 1197 1209 1274 1302 1323 1352 1368 1396 1404 1444 1456 1482 1488 1512 1519 1521 1596 1612 1638 1674 1729 1736 1764 1767 1862 1872 1911 1953 1976 2028 2052 2094 2128 2166 2184 2223 2232 2352 2356 2366 2394 2418 2443 2457 2527 2548 2604 2646 2704 2736 2792 2793 2808 2821 2888 2964 3024 3038 3042 3141 3192 3211 3224 3249 3276 3348 3458 3472 3528 3534 3549 3591 3627 3724 3822 3906 3952 4056 4104 4123 4188 4332 4368 4446 4464 4537 4557 4563 4693 4712 4732 4788 4836 4886 4914 5054 5096 5187 5208 5239 5292 5301 5584 5586 5616 5642 5733 5776 5859 5928 6076 6084 6282 6384 6422 6448 6498 6552 6631 6669 6696 6916 7056 7068 7098 7182 7254 7329 7448 7581 7644 7657 7812 8112 8208 8246 8281 8376 8379 8463 8664 8892 9074 9114 9126 9386 9423 9424 9464 9576 9633 9672 9747 9772 9828 10108 10192 10374 10416 10478 10584 10602 10647 10819 10881 11172 11191 11284 11466 11718 11856 12103 12152 12168 12369 12564 12844 12996 13104 13262 13338 13392 13611 13671 13832 14079 14136 14196 14364 14508 14658 14896 15162 15288 15314 15561 15624 15717 15903 16492 16562 16752 16758 16926 17101 17199 17328 17689 17784 18148 18228 18252 18772 18846 18928 19152 19266 19344 19494 19544 19656 19747 19893 20216 20748 20956 21168 21204 21294 21638 21762 21987 22344 22382 22477 22568 22743 22932 22971 23436 24206 24304 24336 24738 24843 25128 25137 25389 25688 25992 26524 26676 27222 27342 27664 28158 28272 28392 28728 28861 28899 29016 29316 30324 30576 30628 31122 31248 31434 31759 31806 31941 32457 32851 32984 33124 33516 33573 33852 34202 34398 35378 35568 36296 36309 36456 36504 36673 37107 37544 37692 38532 38988 39088 39312 39494 39786 40432 40833 41013 41496 41912 42237 42408 42588 43276 43524 43974 44688 44764 44954 45136 45486 45864 45942 46417 46683 46872 47151 48412 49476 49686 50256 50274 50778 51303 51376 51984 53048 53067 53352 53599 54444 54684 56316 56784 57456 57722 57798 58032 58632 58981 59241 59679 60648 61009 61256 62244 62868 63518 63612 63882 64914 65702 65961 65968 66248 67032 67146 67431 67704 68229 68404 68796 68913 70756 72592 72618 72912 73008 73346 74214 74529 75088 75384 75733 76167 77064 77976 78337 78988 79572 81666 82026 82992 83824 84474 84816 85176 86203 86552 86583 86697 87048 87948 89528 89908 90972 91728 91884 92834 93366 93744 94302 95277 96824 97371 98553 98952 99372 99541 100548 100719 101556 102606 106096 106134 106704 107198 108888 108927 109368 110019 111321 112632 115444 115596 117264 117962 118482 119358 121296 122018 122499 122512 124488 125736 125989 126711 127036 127224 127764 129828 131404 131922 132496 134064 134292 134862 135408 136458 136808 137592 137826 139251 140647 141453 141512 145236 145483 146692 148428 149058 150768 151466 152334 153909 154128 155952 156674 157339 157976 159144 159201 160797 163332 164052 168948 170352 172406 173104 173166 173394 174096 175896 176943 177723 179037 179056 179816 181944 183027 183768 185668 186732 188604 190554 193648 194742 197106 197904 198744 199082 201096 201438 202293 203112 205212 205561 206739 212268 214396 217776 217854 218736 220038 222313 222642 223587 225264 227199 229957 230888 231192 235011 235924 236964 238716 244036 244998 248976 251472 251978 253422 254072 254448 255528 256711 258609 259656 259749 262808 263844 268584 269724 272916 273616 275184 275652 278502 281294 282906 283024 285831 290472 290966 292113 293384 295659 296856 298116 298623 302157 302932 304668 307818 313348 314678 315952 318288 318402 321594 324919 326664 326781 328104 330057 337896 344812 346332 346788 351792 353886 355446 358074 359632 363888 366054 367536 371336 373464 375193 377208 377967 381108 389484 394212 397488 398164 402192 402876 404586 406224 410424 411122 412867 413478 417753 421941 424536 427063 428792 435708 436449 440076 444626 445284 447174 454398 459914 461727 461776 462384 470022 471848 472017 473928 477432 477603 482391 488072 489996 503956 506844 508144 511056 513422 517218 519312 519498 525616 527688 530131 530829 533169 537168 539448 545832 548359 549081 551304 557004 562588 565812 571662 580944 581932 584226 586768 591318 593712 596232 597246 603421 604314 605864 606879 609336 615636 616683 626696 629356 636804 643188 649838 653328 653562 656208 660114 666939 675792 681597 689624 689871 692664 693576 696787 705033 707772 710892 716148 732108 742672 746928 750386 754416 755934 762216 770133 775827 778968 779247 788424 796328 805752 809172 820848 822244 825734 826956 835506 843882 849072 854126 857493 857584 871416 872898 880152 881923 886977 889252 890568 894348 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179129144376 183843069228 194056573074 221778940656 225356020344 245124092304 249501308238 258742097432 268693716564 285144352272 291084859611 332668410984 358258288752 367686138456 388113146148 450712040688 499002616476 517484194864 537387433128 582169719222 665336821968 735372276912 776226292296 873254578833 998005232952 1074774866256 1164339438444 1552452584592 1746509157666 1996010465904 2328678876888 3493018315332 4657357753776 6986036630664 13972073261328
- Sum of all divisors σ(n): 55193842368000
- Sum of proper divisors (its aliquot sum) s(n): 41221769106672
- 13972073261328 is an abundant number, because the sum of its proper divisors (41221769106672) is greater than itself. Its abundance is 27249695845344
Bases of 13972073261328
- Binary: 110010110101001000000111011010101001000100002
- Hexadecimal: 0xCB52076A910
- Base-36: 4YAOJO6C0
Squares and roots of 13972073261328
- 13972073261328 squared (139720732613282) is 195218831219916854180323584
- 13972073261328 cubed (139720732613283) is 2727611811795504065576267948505233559552
-
The
square root of 13972073261328 is 3737923.6564338763 -
The
cube root of 13972073261328 is 24085.3863995999
Scales and comparisons
How big is 13972073261328?- 13,972,073,261,328 seconds is equal to 444,268 years, 36 weeks, 6 days, 21 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,972,073,261,328 would take you about one million, one hundred ten thousand, six hundred seventy-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 13972073261328 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13972073261328
- 13972073261328 backwards is 82316237027931
- 13972073261328 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13972073261328's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13972073261328 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 13972073261328 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13972073261328/
Chicago style:
Numbermatics. 2024. "Number 13972073261328 - Facts about the integer". https://numbermatics.com/n/13972073261328/
The information we have on file for 13972073261328 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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