13131806688
13,131,806,688 is an even composite number composed of seven prime numbers multiplied together.
13131806688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13131806688:
25 × 32 × 7 × 112 × 13 × 41 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 41 × 101)See below for interesting mathematical facts about the number 13131806688 from the Numbermatics database.
Names of 13131806688
- Cardinal: 13131806688 can be written as Thirteen billion, one hundred thirty-one million, eight hundred six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3131806688 × 1010
Factors of 13131806688
Divisors of 13131806688
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 41 42 44 48 52 56 63 66 72 77 78 82 84 88 91 96 99 101 104 112 117 121 123 126 132 143 144 154 156 164 168 176 182 198 202 208 224 231 234 242 246 252 264 273 286 287 288 303 308 312 328 336 352 363 364 369 396 404 416 429 451 462 468 484 492 504 528 533 546 572 574 606 616 624 656 672 693 707 726 728 738 792 808 819 847 858 861 902 909 924 936 968 984 1001 1008 1056 1066 1089 1092 1111 1144 1148 1212 1232 1248 1287 1312 1313 1353 1386 1414 1452 1456 1476 1573 1584 1599 1616 1638 1694 1716 1722 1804 1818 1848 1872 1936 1968 2002 2016 2121 2132 2178 2184 2222 2288 2296 2424 2464 2541 2574 2583 2626 2706 2772 2828 2904 2912 2952 3003 3146 3157 3168 3198 3232 3276 3333 3388 3432 3444 3608 3636 3696 3731 3744 3872 3936 3939 4004 4059 4141 4242 4264 4356 4368 4444 4576 4592 4719 4797 4848 4961 5082 5148 5166 5252 5412 5544 5656 5808 5863 5904 6006 6292 6314 6363 6396 6552 6666 6776 6864 6888 7216 7272 7392 7462 7623 7777 7878 8008 8118 8282 8484 8528 8712 8736 8888 9009 9184 9191 9438 9471 9594 9696 9922 9999 10164 10296 10332 10504 10824 11011 11088 11193 11312 11616 11726 11808 11817 12012 12221 12423 12584 12628 12726 12792 13104 13332 13552 13728 13776 14157 14432 14443 14544 14883 14924 15246 15554 15756 16016 16236 16564 16968 17056 17424 17589 17776 18018 18382 18876 18942 19188 19844 19998 20328 20592 20664 21008 21648 22022 22176 22386 22624 23331 23452 23634 24024 24442 24846 25168 25256 25452 25584 26208 26664 27104 27552 27573 28314 28413 28886 28987 29088 29766 29848 30492 31108 31512 32032 32472 33033 33128 33579 33936 34727 34848 35178 35552 36036 36663 36764 37269 37752 37884 38376 39688 39996 40656 41041 41184 41328 42016 43296 43329 44044 44649 44772 45551 46662 46904 47268 48048 48884 49692 50336 50512 50904 51168 52767 53328 53833 55146 56628 56826 57772 57974 59532 59696 60984 62216 63024 64493 64944 66066 66256 67158 67872 69454 69993 70356 72072 73326 73528 74538 75504 75768 76752 79376 79992 81312 82082 82656 82719 85547 86658 86961 88088 89298 89544 91102 93324 93808 94536 96096 97768 99099 99384 101024 101101 101808 104181 105534 106656 107666 109989 110292 113256 113652 115544 115948 119064 119392 121968 123123 124432 126048 128986 129888 129987 132132 132512 134316 136653 138908 139986 140712 144144 146652 147056 149076 151008 151536 153504 158752 158873 159984 161499 164164 165438 171094 173316 173922 176176 178596 179088 182204 186648 187616 189072 193479 195536 198198 198768 202202 203616 208362 211068 215332 219978 220584 226512 227304 231088 231896 238128 243936 246246 248864 256641 257972 259974 260883 264264 268632 273306 277816 279972 281424 288288 293304 294112 298152 303072 303303 312543 317746 318857 319968 322998 328328 330876 342188 346632 347844 352352 357192 358176 364408 369369 373296 376831 378144 386958 391072 396396 397536 404404 409959 416724 422136 430664 439956 441168 451451 453024 454608 462176 463792 476256 476619 484497 492492 501061 513282 515944 519948 521766 528528 537264 546612 555632 559944 562848 580437 586608 592163 596304 606606 625086 635492 637714 645996 656656 661752 684376 693264 695688 714384 728816 738738 746592 753662 769923 773916 792792 808808 819918 833448 844272 861328 879912 882336 902902 909216 909909 927584 953238 956571 968994 984984 1002122 1026564 1031888 1039896 1043532 1057056 1074528 1093224 1111264 1112111 1119888 1130493 1160874 1173216 1184326 1192608 1213212 1250172 1270984 1275428 1291992 1313312 1323504 1354353 1368752 1386528 1391376 1428768 1429857 1457632 1477476 1503183 1507324 1539846 1547832 1585584 1617616 1639836 1666896 1688544 1722656 1759824 1776489 1805804 1819818 1906476 1913142 1937988 1969968 2004244 2053128 2063776 2079792 2087064 2186448 2224222 2239776 2260986 2321748 2368652 2426424 2500344 2541968 2550856 2583984 2647008 2708706 2737504 2782752 2859714 2869713 2954952 3006366 3014648 3079692 3095664 3171168 3235232 3279672 3333792 3336333 3391479 3507427 3519648 3552978 3611608 3639636 3812952 3826284 3875976 3939936 4008488 4063059 4106256 4145141 4159584 4174128 4372896 4448444 4509549 4521972 4643496 4737304 4852848 5000688 5083936 5101712 5167968 5329467 5417412 5719428 5739426 5909904 6012732 6029296 6159384 6191328 6513793 6559344 6672666 6782958 7014854 7105956 7223216 7279272 7625904 7652568 7751952 8016976 8126118 8212512 8290282 8348256 8896888 9019098 9043944 9286992 9474608 9705696 10001376 10008999 10203424 10522281 10658934 10834824 11438856 11478852 11819808 12025464 12058592 12318768 12435423 13027586 13118688 13345332 13565916 14029708 14211912 14446432 14558544 15251808 15305136 15503904 16033952 16252236 16580564 17793776 18038196 18087888 18573984 18949216 19541379 20017998 21044562 21317868 21669648 22877712 22957704 24050928 24637536 24870846 26055172 26690664 27131832 28059416 28423824 29117088 30610272 31566843 32504472 33161128 35587552 36076392 36175776 37306269 39082758 40035996 42089124 42635736 43339296 45596551 45755424 45915408 48101856 49741692 52110344 53381328 54263664 56118832 56847648 58624137 63133686 65008944 66322256 72152784 74612538 78165516 80071992 84178248 85271472 91193102 91830816 99483384 104220688 106762656 108527328 112237664 117248274 126267372 130017888 132644512 136789653 144305568 149225076 156331032 160143984 168356496 170542944 182386204 198966768 208441376 234496548 252534744 273579306 298450152 312662064 320287968 336712992 364772408 397933536 410368959 468993096 505069488 547158612 596900304 625324128 729544816 820737918 937986192 1010138976 1094317224 1193800608 1459089632 1641475836 1875972384 2188634448 3282951672 4377268896 6565903344 13131806688
- Sum of all divisors σ(n): 52264046016
- Sum of proper divisors (its aliquot sum) s(n): 39132239328
- 13131806688 is an abundant number, because the sum of its proper divisors (39132239328) is greater than itself. Its abundance is 26000432640
Bases of 13131806688
- Binary: 11000011101011011101110111111000002
- Hexadecimal: 0x30EB777E0
- Base-36: 616C6W0
Squares and roots of 13131806688
- 13131806688 squared (131318066882) is 172444346891001529344
- 13131806688 cubed (131318066883) is 2264505827811045890057767452672
-
The
square root of 13131806688 is 114594.0953452661 -
The
cube root of 13131806688 is 2359.2546894787
Scales and comparisons
How big is 13131806688?- 13,131,806,688 seconds is equal to 417 years, 28 weeks, 4 days, 12 hours, 4 minutes, 48 seconds.
-
To count from 1 to 13,131,806,688 would take you about eight hundred thirty-five 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 13131806688 cubic inches would be around 196.6 feet tall.
Recreational maths with 13131806688
- 13131806688 backwards is 88660813131
- The number of decimal digits it has is: 11
- The sum of 13131806688's digits is 45
- More coming soon!
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