1001964448400953680

Names of 1001964448400953680

• Cardinal: 1001964448400953680 can be written as One quintillion, one quadrillion, nine hundred sixty-four trillion, four hundred forty-eight billion, four hundred million, nine hundred fifty-three thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.00196444840095368 × 10¹⁸

Factors of 1001964448400953680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 511102

Divisors of 1001964448400953680

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5329 5840 6570 8760 10512 10658 13140 15987 17520 21316 26280 26645 31974 42632 47961 52560 53290 63948 79935 85264 95922 106580 127896 159870 191844 213160 239805 255792 319740 383688 426320 479610 511019 639480 767376 959220 1022038 1278960 1533057 1918440 2044076 2555095 3066114 3836880 4088152 4599171 5110190 6132228 7665285 8176304 9198342 10220380 12264456 15330570 18396684 20440760 22995855 24528912 30661140 36793368 37304387 40881520 45991710 61322280 73586736 74608774 91983420 111913161 122644560 149217548 183966840 186521935 223826322 298435096 335739483 367933680 373043870 447652644 559565805 596870192 671478966 746087740 895305288 1119131610 1342957932 1492175480 1678697415 1790610576 2238263220 2685915864 2723220251 2984350960 3357394830 4476526440 5371831728 5446440502 6714789660 8169660753 8953052880 10892881004 13429579320 13616101255 16339321506 21785762008 24508982259 26859158640 27232202510 32678643012 40848303765 43571524016 49017964518 54464405020 65357286024 81696607530 98035929036 108928810040 122544911295 130714572048 163393215060 196071858072 217857620080 245089822590 261140418361 326786430120 392143716144 490179645180 522280836722 653572860240 783421255083 980359290360 1044561673444 1305702091805 1566842510166 1960718580720 2089123346888 2350263765249 2611404183610 3133685020332 3917106275415 4178246693776 4700527530498 5222808367220 6267370040664 7834212550830 9401055060996 10445616734440 11751318826245 12534740081328 15668425101660 18802110121992 19063250540353 20891233468880 23502637652490 31336850203320 37604220243984 38126501080706 47005275304980 57189751621059 62673700406640 76253002161412 94010550609960 95316252701765 114379503242118 152506004322824 171569254863177 188021101219920 190632505403530 228759006484236 285948758105295 305012008645648 343138509726354 381265010807060 457518012968472 571897516210590 686277019452708 762530021614120 857846274315885 915036025936944 1143795032421180 1372554038905416 1391617289445769 1525060043228240 1715692548631770 2287590064842360 2745108077810832 2783234578891538 3431385097263540 4174851868337307 4575180129684720 5566469157783076 6862770194527080 6958086447228845 8349703736674614 11132938315566152 12524555605011921 13725540389054160 13916172894457690 16699407473349228 20874259341686535 22265876631132304 25049111210023842 27832345788915380 33398814946698456 41748518683373070 50098222420047684 55664691577830760 62622778025059605 66797629893396912 83497037366746140 100196444840095368 111329383155661520 125245556050119210 166994074733492280 200392889680190736 250491112100238420 333988149466984560 500982224200476840 1001964448400953680
• Sum of all divisors σ(n): 3411663659415322974
• Sum of proper divisors (its aliquot sum) s(n): 2409699211014369294
• 1001964448400953680 is an abundant number, because the sum of its proper divisors (2409699211014369294) is greater than itself. Its abundance is 1407734762613415614

Bases of 1001964448400953680

• Binary: 110111100111101100010101101101110000100000100101000101010000₂
• Hexadecimal: 0xDE7B15B70825150
• Base-36: 7M1QR54UI0K0

Squares and roots of 1001964448400953680

• 1001964448400953680 squared (1001964448400953680²) is 1003932755859427369470301133505542400
• 1001964448400953680 cubed (1001964448400953680³) is 1005904929956340442781781294108491985943813725676032000
• The square root of 1001964448400953680 is 1000981742.2915133671
• The cube root of 1001964448400953680 is 1000654.3878168283

Scales and comparisons

• 1,001,964,448,400,953,680 seconds is equal to 31,859,370,179 years, 32 weeks, 1 day, 9 hours, 48 minutes.
• To count from 1 to 1,001,964,448,400,953,680 would take you about one hundred eleven billion, five hundred seven million, seven hundred ninety-five thousand, six hundred twenty-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 1001964448400953680 cubic inches would be around 83387.9 feet tall.

Recreational maths with 1001964448400953680

• 1001964448400953680 backwards is 0863590048444691001
• 1001964448400953680 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 1001964448400953680's digits is 72
• More coming soon!