106431037440
106,431,037,440 is an even composite number composed of six prime numbers multiplied together.
106431037440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106431037440:
214 × 3 × 5 × 7 × 13 × 4759
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 4759)See below for interesting mathematical facts about the number 106431037440 from the Numbermatics database.
Names of 106431037440
- Cardinal: 106431037440 can be written as One hundred six billion, four hundred thirty-one million, thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0643103744 × 1011
Factors of 106431037440
Divisors of 106431037440
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 128 130 140 156 160 168 182 192 195 208 210 224 240 256 260 273 280 312 320 336 364 384 390 416 420 448 455 480 512 520 546 560 624 640 672 728 768 780 832 840 896 910 960 1024 1040 1092 1120 1248 1280 1344 1365 1456 1536 1560 1664 1680 1792 1820 1920 2048 2080 2184 2240 2496 2560 2688 2730 2912 3072 3120 3328 3360 3584 3640 3840 4096 4160 4368 4480 4759 4992 5120 5376 5460 5824 6144 6240 6656 6720 7168 7280 7680 8192 8320 8736 8960 9518 9984 10240 10752 10920 11648 12288 12480 13312 13440 14277 14336 14560 15360 16384 16640 17472 17920 19036 19968 20480 21504 21840 23296 23795 24576 24960 26624 26880 28554 28672 29120 30720 33280 33313 34944 35840 38072 39936 40960 43008 43680 46592 47590 49152 49920 53248 53760 57108 57344 58240 61440 61867 66560 66626 69888 71385 71680 76144 79872 81920 86016 87360 93184 95180 99840 99939 106496 107520 114216 114688 116480 122880 123734 133120 133252 139776 142770 143360 152288 159744 166565 172032 174720 185601 186368 190360 199680 199878 212992 215040 228432 232960 245760 247468 266240 266504 279552 285540 286720 304576 309335 319488 333130 344064 349440 371202 372736 380720 399360 399756 430080 433069 456864 465920 494936 499695 532480 533008 559104 571080 573440 609152 618670 638976 666260 698880 742404 745472 761440 798720 799512 860160 866138 913728 928005 931840 989872 999390 1064960 1066016 1118208 1142160 1218304 1237340 1299207 1332520 1397760 1484808 1490944 1522880 1597440 1599024 1720320 1732276 1827456 1856010 1863680 1979744 1998780 2132032 2165345 2236416 2284320 2436608 2474680 2598414 2665040 2795520 2969616 3045760 3194880 3198048 3464552 3654912 3712020 3727360 3959488 3997560 4264064 4330690 4472832 4568640 4873216 4949360 5196828 5330080 5591040 5939232 6091520 6396096 6496035 6929104 7309824 7424040 7454720 7918976 7995120 8528128 8661380 9137280 9746432 9898720 10393656 10660160 11182080 11878464 12183040 12792192 12992070 13858208 14619648 14848080 15837952 15990240 17056256 17322760 18274560 19492864 19797440 20787312 21320320 22364160 23756928 24366080 25584384 25984140 27716416 29239296 29696160 31675904 31980480 34112512 34645520 36549120 38985728 39594880 41574624 42640640 47513856 48732160 51168768 51968280 55432832 58478592 59392320 63351808 63960960 68225024 69291040 73098240 77971456 79189760 83149248 85281280 95027712 97464320 102337536 103936560 110865664 116957184 118784640 126703616 127921920 136450048 138582080 146196480 158379520 166298496 170562560 190055424 194928640 204675072 207873120 221731328 233914368 237569280 253407232 255843840 272900096 277164160 292392960 316759040 332596992 341125120 380110848 389857280 409350144 415746240 443462656 475138560 506814464 511687680 545800192 554328320 584785920 633518080 665193984 682250240 760221696 818700288 831492480 886925312 950277120 1013628928 1023375360 1108656640 1169571840 1267036160 1330387968 1364500480 1520443392 1637400576 1662984960 1773850624 1900554240 2046750720 2217313280 2534072320 2660775936 2729000960 3040886784 3325969920 3547701248 3801108480 4093501440 4434626560 5068144640 5321551872 6651939840 7095402496 7602216960 8187002880 8869253120 10643103744 13303879680 15204433920 17738506240 21286207488 26607759360 35477012480 53215518720 106431037440
- Sum of all divisors σ(n): 419249832960
- Sum of proper divisors (its aliquot sum) s(n): 312818795520
- 106431037440 is an abundant number, because the sum of its proper divisors (312818795520) is greater than itself. Its abundance is 206387758080
Bases of 106431037440
- Binary: 11000110001111100100011000000000000002
- Hexadecimal: 0x18C7C8C000
- Base-36: 1CW6AI2O
Squares and roots of 106431037440
- 106431037440 squared (1064310374402) is 11327565730554681753600
- 106431037440 cubed (1064310374403) is 1205604572372726285684686454784000
-
The
square root of 106431037440 is 326237.7008256403 -
The
cube root of 106431037440 is 4739.0297146921
Scales and comparisons
How big is 106431037440?- 106,431,037,440 seconds is equal to 3,384 years, 9 weeks, 1 day, 17 hours, 4 minutes.
-
To count from 1 to 106,431,037,440 would take you about six thousand, seven hundred sixty-eight 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 106431037440 cubic inches would be around 394.9 feet tall.
Recreational maths with 106431037440
- 106431037440 backwards is 044730134601
- The number of decimal digits it has is: 12
- The sum of 106431037440's digits is 33
- More coming soon!
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