137957995107072

Names of 137957995107072

• Cardinal: 137957995107072 can be written as One hundred thirty-seven trillion, nine hundred fifty-seven billion, nine hundred ninety-five million, one hundred seven thousand and seventy-two.

Scientific notation

• Scientific notation: 1.37957995107072 × 10¹⁴

Factors of 137957995107072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 25993

Divisors of 137957995107072

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 307 336 367 378 384 432 448 504 576 614 672 734 756 768 864 896 921 1008 1101 1152 1228 1344 1468 1512 1728 1792 1842 2016 2149 2202 2304 2456 2569 2688 2763 2936 3024 3303 3456 3684 4032 4298 4404 4912 5138 5376 5526 5872 6048 6447 6606 6912 7368 7707 8064 8289 8596 8808 9824 9909 10276 11052 11744 12096 12894 13212 14736 15414 16128 16578 17192 17616 19341 19648 19818 20552 22104 23121 23488 24192 25307 25788 26424 29472 30828 33156 34384 35232 38682 39296 39636 41104 44208 46242 46976 48384 50614 51576 52848 58023 58944 61656 66312 68768 69363 70464 75921 77364 78592 79272 82208 88416 92484 93952 101228 103152 105696 112669 116046 117888 123312 132624 137536 138726 140928 151842 154728 158544 164416 176832 177149 184968 202456 206304 211392 225338 227763 232092 235776 246624 265248 275072 277452 281856 303684 309456 317088 328832 338007 353664 354298 369936 404912 412608 422784 450676 455526 464184 493248 530496 531447 550144 554904 607368 618912 634176 657664 676014 683289 707328 708596 739872 788683 809824 825216 845568 901352 911052 928368 986496 1014021 1060992 1062894 1109808 1214736 1237824 1268352 1352028 1366578 1417192 1479744 1577366 1594341 1619648 1650432 1802704 1822104 1856736 1972992 2028042 2121984 2125788 2219616 2366049 2429472 2475648 2536704 2704056 2733156 2834384 2959488 3042063 3154732 3188682 3239296 3605408 3644208 3713472 4056084 4251576 4439232 4732098 4783023 4858944 4951296 5408112 5466312 5668768 5918976 6084126 6309464 6377364 6478592 7098147 7210816 7288416 7426944 7769249 8112168 8503152 8878464 9287669 9464196 9566046 9717888 10816224 10932624 11337536 12168252 12618928 12754728 14196294 14421632 14576832 14853888 15538498 16224336 17006304 17756928 18575338 18928392 19132092 19435776 21294441 21632448 21865248 22675072 23307747 24336504 25237856 25509456 27863007 28392588 28843264 29153664 31076996 32448672 34012608 37150676 37856784 38264184 42588882 43264896 43730496 45350144 46615494 48673008 50475712 51018912 54384743 55726014 56785176 58307328 62153992 64897344 65013683 68025216 69923241 74301352 75713568 76528368 83589021 85177764 86529792 87460992 93230988 97346016 100951424 102037824 108769486 111452028 113570352 124307984 129794688 130027366 136050432 139846482 148602704 151427136 153056736 163154229 167178042 170355528 174921984 186461976 194692032 195041049 201902848 204075648 209769723 217538972 222904056 227140704 248615968 250767063 259589376 260054732 279692964 297205408 302854272 306113472 326308458 334356084 340711056 372923952 389384064 390082098 408151296 419539446 435077944 445808112 454281408 489462687 497231936 501534126 520109464 559385928 585123147 594410816 605708544 612226944 652616916 668712168 681422112 745847904 778768128 780164196 839078892 870155888 891616224 908562816 978925374 994463872 1003068252 1040218928 1118771856 1170246294 1188821632 1224453888 1305233832 1337424336 1362844224 1468388061 1491695808 1560328392 1678157784 1740311776 1755369441 1783232448 1817125632 1957850748 1988927744 2006136504 2080437856 2237543712 2340492588 2377643264 2610467664 2674848672 2725688448 2851314383 2936776122 2983391616 3120656784 3356315568 3480623552 3510738882 3566464896 3915701496 4012273008 4160875712 4475087424 4680985176 5220935328 5349697344 5451376896 5702628766 5873552244 5966783232 6241313568 6712631136 6961247104 7021477764 7132929792 7831402992 8024546016 8321751424 8553943149 8950174848 9361970352 10441870656 10699394688 11405257532 11747104488 12482627136 13425262272 13922494208 14042955528 15662805984 16049092032 16643502848 17107886298 17900349696 18723940704 19959200681 20883741312 21398789376 22810515064 23494208976 24965254272 25661829447 26850524544 28085911056 31325611968 32098184064 34215772596 37447881408 39918401362 41767482624 45621030128 46988417952 49930508544 51323658894 53701049088 56171822112 59877602043 62651223936 64196368128 68431545192 74895762816 76985488341 79836802724 91242060256 93976835904 102647317788 112343644224 119755204086 125302447872 136863090384 149791525632 153970976682 159673605448 179632806129 182484120512 187953671808 205294635576 224687288448 239510408172 273726180768 307941953364 319347210896 359265612258 364968241024 375907343616 410589271152 449374576896 479020816344 538898418387 547452361536 615883906728 638694421792 718531224516 729936482048 821178542304 958041632688 1077796836774 1094904723072 1231767813456 1277388843584 1437062449032 1642357084608 1916083265376 2155593673548 2189809446144 2463535626912 2554777687168 2874124898064 3284714169216 3832166530752 4311187347096 4927071253824 5109555374336 5748249796128 6569428338432 7664333061504 8622374694192 9854142507648 11496499592256 15328666123008 17244749388384 19708285015296 22992999184512 34489498776768 45985998369024 68978997553536 137957995107072
• Sum of all divisors σ(n): 469058747351040
• Sum of proper divisors (its aliquot sum) s(n): 331100752243968
• 137957995107072 is an abundant number, because the sum of its proper divisors (331100752243968) is greater than itself. Its abundance is 193142757136896

Bases of 137957995107072

• Binary: 11111010111100011011001010010101101001100000000₂
• Hexadecimal: 0x7D78D94AD300
• Base-36: 1CWH10BEO0

Squares and roots of 137957995107072

• 137957995107072 squared (137957995107072²) is 19032408413962901892744413184
• 137957995107072 cubed (137957995107072³) is 2625672906849289983204560121776135888437248
• The square root of 137957995107072 is 11745552.1414308999
• The cube root of 137957995107072 is 51671.2488381031

Scales and comparisons

• 137,957,995,107,072 seconds is equal to 4,386,637 years, 26 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,957,995,107,072 would take you about ten million, nine hundred sixty-six thousand, five hundred ninety-three 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 137957995107072 cubic inches would be around 4305.9 feet tall.

Recreational maths with 137957995107072

• 137957995107072 backwards is 270701599759731
• 137957995107072 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137957995107072's digits is 72
• More coming soon!