131408169984

Names of 131408169984

• Cardinal: 131408169984 can be written as One hundred thirty-one billion, four hundred eight million, one hundred sixty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.31408169984 × 10¹¹

Factors of 131408169984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 751

Divisors of 131408169984

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 169 182 192 204 208 221 224 234 238 252 256 272 273 288 306 312 336 338 357 364 384 408 416 442 448 468 476 504 507 512 544 546 576 612 624 663 672 676 709 714 728 768 816 819 832 884 896 936 952 1008 1014 1024 1071 1088 1092 1152 1183 1224 1248 1326 1344 1352 1418 1428 1456 1521 1536 1547 1632 1638 1664 1768 1792 1872 1904 1989 2016 2028 2127 2142 2176 2184 2304 2366 2448 2496 2652 2688 2704 2836 2856 2873 2912 3042 3072 3094 3264 3276 3328 3536 3549 3584 3744 3808 3978 4032 4056 4254 4284 4352 4368 4608 4641 4732 4896 4963 4992 5304 5376 5408 5672 5712 5746 5824 6084 6188 6381 6528 6552 6656 7072 7098 7168 7488 7616 7956 8064 8112 8508 8568 8619 8704 8736 9216 9217 9282 9464 9792 9926 9984 10608 10647 10752 10816 11344 11424 11492 11648 12053 12168 12376 12762 13056 13104 13312 13923 14144 14196 14889 14976 15232 15912 16128 16224 17016 17136 17238 17408 17472 18434 18564 18928 19584 19852 19968 20111 21216 21294 21504 21632 22688 22848 22984 23296 24106 24336 24752 25524 25857 26112 26208 27651 27846 28288 28392 29778 29952 30464 31824 32256 32448 34032 34272 34476 34944 36159 36868 37128 37856 39168 39704 39936 40222 42432 42588 43264 44667 45376 45696 45968 46592 48212 48672 49504 51048 51714 52224 52416 55302 55692 56576 56784 59556 59904 60333 60928 63648 64512 64519 64896 68064 68544 68952 69888 72318 73736 74256 75712 78336 79408 80444 82953 84371 84864 85176 86528 89334 90752 91392 91936 93184 96424 97344 99008 102096 103428 104832 108477 110604 111384 113152 113568 119112 119808 119821 120666 121856 127296 129038 129792 136128 137088 137904 139776 144636 147472 148512 151424 156672 156689 158816 160888 165906 168742 169728 170352 173056 178668 180999 181504 182784 183872 192848 193557 194688 198016 204192 206856 209664 216954 221208 222768 226304 227136 238224 239642 241332 253113 254592 258076 259584 272256 274176 275808 279552 289272 294944 297024 302848 313378 317632 321776 331812 337484 339456 340704 357336 359463 361998 363008 365568 367744 385696 387114 389376 396032 408384 413712 419328 433908 442416 445536 454272 470067 476448 479284 482664 506226 509184 516152 519168 544512 548352 551616 578544 580671 589888 594048 605696 626756 635264 643552 663624 674968 678912 681408 714672 718926 723996 726016 735488 759339 771392 774228 778752 792064 816768 827424 838656 838747 867816 884832 891072 908544 940134 952896 958568 965328 1012452 1018368 1032304 1078389 1089024 1096704 1096823 1103232 1157088 1161342 1179776 1188096 1211392 1253512 1270528 1287104 1327248 1349936 1362816 1410201 1429344 1437852 1447992 1470976 1518678 1542784 1548456 1557504 1584128 1633536 1654848 1677494 1735632 1769664 1782144 1817088 1880268 1905792 1917136 1930656 2024904 2036736 2036957 2064608 2156778 2178048 2193646 2206464 2314176 2322684 2359552 2376192 2507024 2516241 2541056 2574208 2654496 2699872 2725632 2820402 2858688 2875704 2895984 2941952 3037356 3085568 3096912 3267072 3290469 3309696 3354988 3471264 3539328 3564288 3634176 3760536 3811584 3834272 3861312 4049808 4073914 4129216 4313556 4387292 4412928 4628352 4645368 4719104 4752384 5014048 5032482 5082112 5148416 5308992 5399744 5451264 5640804 5717376 5751408 5791968 6074712 6110871 6171136 6193824 6534144 6580938 6619392 6709976 6942528 7078656 7128576 7521072 7548723 7623168 7668544 7722624 8099616 8147828 8258432 8627112 8774584 8825856 9256704 9290736 9438208 9871407 10028096 10064964 10296832 10617984 10799488 10902528 11281608 11434752 11502816 11583936 12149424 12221742 12342272 12387648 13161876 13238784 13419952 13885056 14157312 14257152 14258699 15042144 15097446 15246336 15337088 15445248 16199232 16295656 16516864 17254224 17549168 18332613 18513408 18581472 19742814 20056192 20129928 20593664 21235968 21598976 22563216 22869504 23005632 23167872 24298848 24443484 24775296 26323752 26477568 26839904 27770112 28314624 28517398 30084288 30194892 30674176 30890496 32398464 32591312 33033728 34508448 35098336 36665226 37026816 37162944 39485628 40112384 40259856 42471936 42776097 43197952 45126432 45739008 46011264 46335744 48597696 48886968 49550592 52647504 53679808 55540224 57034796 60168576 60389784 61348352 61780992 64796928 65182624 66067456 69016896 70196672 73330452 74325888 78971256 80224768 80519712 84943872 85552194 86395904 90252864 92022528 92671488 97195392 97773936 99101184 105295008 107359616 111080448 114069592 120337152 120779568 122696704 128328291 129593856 130365248 138033792 140393344 146660904 148651776 157942512 160449536 161039424 171104388 180505728 184045056 185342976 194390784 195547872 198202368 210590016 214719232 228139184 240674304 241559136 256656582 259187712 260730496 276067584 280786688 293321808 297303552 315885024 322078848 342208776 361011456 368090112 388781568 391095744 421180032 429438464 456278368 481348608 483118272 513313164 521460992 552135168 561573376 586643616 594607104 631770048 644157696 684417552 722022912 777563136 782191488 842360064 858876928 912556736 966236544 1026626328 1042921984 1104270336 1123146752 1173287232 1263540096 1288315392 1368835104 1444045824 1564382976 1684720128 1825113472 1932473088 2053252656 2085843968 2346574464 2527080192 2576630784 2737670208 3128765952 3369440256 3650226944 3864946176 4106505312 4693148928 5054160384 5475340416 6257531904 7300453888 7729892352 8213010624 9386297856 10108320768 10950680832 14600907776 16426021248 18772595712 21901361664 32852042496 43802723328 65704084992 131408169984
• Sum of all divisors σ(n): 497889681120
• Sum of proper divisors (its aliquot sum) s(n): 366481511136
• 131408169984 is an abundant number, because the sum of its proper divisors (366481511136) is greater than itself. Its abundance is 235073341152

Bases of 131408169984

• Binary: 1111010011000100010011000110000000000₂
• Hexadecimal: 0x1E98898C00
• Base-36: 1OD914W0

Squares and roots of 131408169984

• 131408169984 squared (131408169984²) is 17268107138543838560256
• 131408169984 cubed (131408169984³) is 2269170358163692575761974274555904
• The square root of 131408169984 is 362502.6482441197
• The cube root of 131408169984 is 5084.0224045161

Scales and comparisons

• 131,408,169,984 seconds is equal to 4,178 years, 19 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 131,408,169,984 would take you about eight thousand, three hundred fifty-six 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 131408169984 cubic inches would be around 423.7 feet tall.

Recreational maths with 131408169984

• 131408169984 backwards is 489961804131
• The number of decimal digits it has is: 12
• The sum of 131408169984's digits is 54
• More coming soon!