12736434816
12,736,434,816 is an even composite number composed of six prime numbers multiplied together.
12736434816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 12736434816:
27 × 36 × 7 × 17 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 31 × 37)See below for interesting mathematical facts about the number 12736434816 from the Numbermatics database.
Names of 12736434816
- Cardinal: 12736434816 can be written as Twelve billion, seven hundred thirty-six million, four hundred thirty-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.2736434816 × 1010
Factors of 12736434816
Divisors of 12736434816
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 31 32 34 36 37 42 48 51 54 56 62 63 64 68 72 74 81 84 93 96 102 108 111 112 119 124 126 128 136 144 148 153 162 168 186 189 192 204 216 217 222 224 238 243 248 252 259 272 279 288 296 306 324 333 336 357 372 378 384 408 432 434 444 448 459 476 486 496 504 518 527 544 558 567 576 592 612 629 648 651 666 672 714 729 744 756 777 816 837 864 868 888 896 918 952 972 992 999 1008 1036 1054 1071 1088 1116 1134 1147 1152 1184 1224 1258 1296 1302 1332 1344 1377 1428 1458 1488 1512 1554 1581 1632 1674 1701 1728 1736 1776 1836 1887 1904 1944 1953 1984 1998 2016 2072 2108 2142 2176 2232 2268 2294 2331 2368 2448 2511 2516 2592 2604 2664 2688 2754 2856 2916 2976 2997 3024 3108 3162 3213 3264 3348 3402 3441 3456 3472 3552 3672 3689 3774 3808 3888 3906 3968 3996 4032 4131 4144 4216 4284 4403 4464 4536 4588 4662 4736 4743 4896 5022 5032 5103 5184 5208 5328 5508 5661 5712 5832 5859 5952 5994 6048 6216 6324 6426 6528 6696 6804 6882 6944 6993 7104 7344 7378 7533 7548 7616 7776 7812 7992 8029 8064 8262 8288 8432 8568 8806 8928 8991 9072 9176 9324 9486 9639 9792 10044 10064 10206 10323 10368 10416 10656 11016 11067 11322 11424 11664 11718 11904 11988 12096 12393 12432 12648 12852 13209 13392 13608 13764 13888 13986 14208 14229 14688 14756 15066 15096 15232 15552 15624 15984 16058 16524 16576 16864 16983 17136 17577 17612 17856 17982 18144 18352 18648 18972 19278 19499 19584 20088 20128 20412 20646 20832 20979 21312 22032 22134 22599 22644 22848 23328 23436 23976 24087 24192 24786 24864 25296 25704 26418 26784 26973 27216 27528 27776 27972 28458 28917 29376 29512 30132 30192 30969 31104 31248 31968 32116 33048 33152 33201 33728 33966 34272 35154 35224 35712 35964 36288 36704 37296 37944 38556 38998 39627 40176 40256 40824 41292 41664 41958 42624 42687 44064 44268 45198 45288 45696 46656 46872 47952 48174 49572 49728 50592 50949 51408 52731 52836 53568 53946 54432 55056 55944 56916 57834 58497 58752 59024 60264 60384 61938 62496 62937 63936 64232 66096 66402 67456 67932 68544 70308 70448 71928 72261 72576 73408 74592 75888 77112 77996 79254 80352 80512 81648 82584 83328 83916 85374 86751 88128 88536 90396 90576 92907 93312 93744 95904 96348 99144 99456 99603 101184 101898 102816 105462 105672 107136 107892 108864 110112 111888 113832 115668 116994 118048 118881 120528 120768 123876 124992 125874 127872 128061 128464 132192 132804 135864 136493 137088 140616 140896 143856 144522 146816 149184 151776 152847 154224 155992 158193 158508 160704 163296 165168 167832 170748 173502 175491 176256 177072 180792 181152 185814 187488 188811 191808 192696 198288 199206 202368 203796 205632 210924 211344 215784 216783 217728 220224 223776 227664 231336 233988 236096 237762 241056 241536 247752 249984 251748 256122 256928 264384 265608 271728 272986 278721 281232 281792 287712 289044 298368 298809 303552 305694 308448 311984 316386 317016 321408 326592 330336 335664 341496 347004 350982 354144 356643 361584 362304 371628 374976 377622 383616 384183 385392 396576 398412 407592 409479 411264 421848 422688 431568 433566 440448 447552 455328 458541 462672 467976 472192 475524 482112 495504 503496 512244 513856 526473 528768 531216 543456 545972 557442 562464 563584 575424 578088 597618 607104 611388 616896 623968 632772 634032 650349 653184 660672 671328 682992 694008 701964 708288 713286 723168 724608 743256 749952 755244 768366 770784 793152 796824 815184 818958 836163 843696 845376 863136 867132 895104 896427 910656 917082 925344 935952 951048 964224 991008 1006992 1024488 1027712 1052946 1062432 1069929 1086912 1091944 1114884 1124928 1150848 1156176 1195236 1222776 1228437 1233792 1247936 1265544 1268064 1300698 1321344 1342656 1365984 1388016 1403928 1416576 1426572 1446336 1486512 1510488 1536732 1541568 1579419 1586304 1593648 1630368 1637916 1672326 1687392 1690752 1726272 1734264 1792854 1821312 1834164 1850688 1871904 1902096 1951047 1982016 2013984 2048976 2105892 2124864 2139858 2173824 2183888 2229768 2249856 2312352 2390472 2445552 2456874 2495872 2531088 2536128 2601396 2685312 2689281 2731968 2776032 2807856 2853144 2892672 2973024 3020976 3073464 3083136 3158838 3187296 3209787 3260736 3275832 3344652 3374784 3452544 3468528 3585708 3668328 3685311 3701376 3743808 3804192 3902094 3964032 4027968 4097952 4211784 4249728 4279716 4367776 4459536 4624704 4738257 4780944 4891104 4913748 5062176 5072256 5202792 5378562 5463936 5552064 5615712 5706288 5853141 5946048 6041952 6146928 6317676 6374592 6419574 6521472 6551664 6689304 6749568 6937056 7171416 7336656 7370622 7487616 7608384 7804188 8055936 8195904 8423568 8559432 8735552 8919072 9249408 9476514 9561888 9782208 9827496 10124352 10405584 10757124 11055933 11104128 11231424 11412576 11706282 11892096 12083904 12293856 12635352 12749184 12839148 13103328 13378608 13874112 14214771 14342832 14673312 14741244 15216768 15608376 16391808 16847136 17118864 17471104 17838144 18953028 19123776 19564416 19654992 20248704 20811168 21514248 22111866 22462848 22825152 23412564 24167808 24587712 25270704 25678296 26206656 26757216 27748224 28429542 28685664 29346624 29482488 31216752 33167799 33694272 34237728 35676288 37906056 38247552 39309984 41622336 43028496 44223732 45650304 46825128 49175424 50541408 51356592 52413312 53514432 56859084 57371328 58693248 58964976 62433504 66335598 67388544 68475456 75812112 78619968 83244672 86056992 88447464 93650256 99503397 101082816 102713184 107028864 113718168 114742656 117929952 124867008 132671196 136950912 151624224 157239936 172113984 176894928 187300512 199006794 202165632 205426368 227436336 235859904 249734016 265342392 303248448 344227968 353789856 374601024 398013588 410852736 454872672 471719808 530684784 606496896 707579712 749202048 796027176 909745344 1061369568 1415159424 1592054352 1819490688 2122739136 3184108704 4245478272 6368217408 12736434816
- Sum of all divisors σ(n): 48804111360
- Sum of proper divisors (its aliquot sum) s(n): 36067676544
- 12736434816 is an abundant number, because the sum of its proper divisors (36067676544) is greater than itself. Its abundance is 23331241728
Bases of 12736434816
- Binary: 10111101110010011010010010100000002
- Hexadecimal: 0x2F7269280
- Base-36: 5UMY000
Squares and roots of 12736434816
- 12736434816 squared (127364348162) is 162216771822216953856
- 12736434816 cubed (127364348163) is 2066063340375611773397023850496
-
The
square root of 12736434816 is 112855.8142764473 -
The
cube root of 12736434816 is 2335.3355603871
Scales and comparisons
How big is 12736434816?- 12,736,434,816 seconds is equal to 404 years, 50 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 12,736,434,816 would take you about eight hundred nine 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 12736434816 cubic inches would be around 194.6 feet tall.
Recreational maths with 12736434816
- 12736434816 backwards is 61843463721
- The number of decimal digits it has is: 11
- The sum of 12736434816's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 12736434816 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
APA style:
Numbermatics. (2024). Number 12736434816 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/12736434816/
Chicago style:
Numbermatics. 2024. "Number 12736434816 - Facts about the integer". https://numbermatics.com/n/12736434816/
The information we have on file for 12736434816 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!
Keywords: Divisors of 12736434816, math, Factors of 12736434816, curriculum, school, college, exams, university, Prime factorization of 12736434816, STEM, science, technology, engineering, physics, economics, calculator, twelve billion, seven hundred thirty-six million, four hundred thirty-four thousand, eight hundred sixteen.