47225728375772040
47,225,728,375,772,040 is an even composite number composed of six prime numbers multiplied together.
47225728375772040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 47225728375772040:
23 × 33 × 5 × 31 × 73 × 19322813201
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 73 × 19322813201)See below for interesting mathematical facts about the number 47225728375772040 from the Numbermatics database.
Names of 47225728375772040
- Cardinal: 47225728375772040 can be written as Forty-seven quadrillion, two hundred twenty-five trillion, seven hundred twenty-eight billion, three hundred seventy-five million, seven hundred seventy-two thousand and forty.
Scientific notation
- Scientific notation: 4.722572837577204 × 1016
Factors of 47225728375772040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 19322813315
Divisors of 47225728375772040
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 73 90 93 108 120 124 135 146 155 180 186 216 219 248 270 279 292 310 360 365 372 438 465 540 558 584 620 657 730 744 837 876 930 1080 1095 1116 1240 1314 1395 1460 1674 1752 1860 1971 2190 2232 2263 2628 2790 2920 3285 3348 3720 3942 4185 4380 4526 5256 5580 6570 6696 6789 7884 8370 8760 9052 9855 11160 11315 13140 13578 15768 16740 18104 19710 20367 22630 26280 27156 33480 33945 39420 40734 45260 54312 61101 67890 78840 81468 90520 101835 122202 135780 162936 203670 244404 271560 305505 407340 488808 611010 814680 1222020 2444040 19322813201 38645626402 57968439603 77291252804 96614066005 115936879206 154582505608 173905318809 193228132010 231873758412 289842198015 347810637618 386456264020 463747516824 521715956427 579684396030 599007209231 695621275236 772912528040 869526594045 1043431912854 1159368792060 1198014418462 1391242550472 1410565363673 1739053188090 1797021627693 2086863825708 2318737584120 2396028836924 2608579782135 2821130727346 2995036046155 3478106376180 3594043255386 4173727651416 4231696091019 4792057673848 5217159564270 5391064883079 5642261454692 5990072092310 6956212752360 7052826818365 7188086510772 8463392182038 8985108138465 10434319128540 10782129766158 11284522909384 11980144184620 12695088273057 14105653636730 14376173021544 16173194649237 16926784364076 17970216276930 20868638257080 21158480455095 21564259532316 23960288369240 25390176546114 26955324415395 28211307273460 32346389298474 33853568728152 35940432553860 38085264819171 42316960910190 43128519064632 43727526273863 50780353092228 53910648830790 56422614546920 63475441365285 64692778596948 71880865107720 76170529638342 80865973246185 84633921820380 87455052547726 101560706184456 107821297661580 126950882730570 129385557193896 131182578821589 152341059276684 161731946492370 169267843640760 174910105095452 190426324095855 215642595323160 218637631369315 253901765461140 262365157643178 304682118553368 323463892984740 349820210190904 380852648191710 393547736464767 437275262738630 507803530922280 524730315286356 646927785969480 655912894107945 761705296383420 787095472929534 874550525477260 1049460630572712 1180643209394301 1311825788215890 1523410592766840 1574190945859068 1749101050954520 1967738682323835 2361286418788602 2623651576431780 3148381891718136 3935477364647670 4722572837577204 5247303152863560 5903216046971505 7870954729295340 9445145675154408 11806432093943010 15741909458590680 23612864187886020 47225728375772040
- Sum of all divisors σ(n): 164723117984409600
- Sum of proper divisors (its aliquot sum) s(n): 117497389608637560
- 47225728375772040 is an abundant number, because the sum of its proper divisors (117497389608637560) is greater than itself. Its abundance is 70271661232865520
Bases of 47225728375772040
- Binary: 101001111100011110001100101111000001100011010011100010002
- Hexadecimal: 0xA7C78CBC18D388
- Base-36: CX04G3YRF60
Squares and roots of 47225728375772040
- 47225728375772040 squared (472257283757720402) is 2230269420622200443294866045761600
- 47225728375772040 cubed (472257283757720403) is 105326097863094518833345097539389009987369785664000
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The
square root of 47225728375772040 is 217314813.9814035779 -
The
cube root of 47225728375772040 is 361459.4263069603
Scales and comparisons
How big is 47225728375772040?- 47,225,728,375,772,040 seconds is equal to 1,501,632,083 years, 30 weeks, 1 day, 6 hours, 54 minutes.
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To count from 1 to 47,225,728,375,772,040 would take you about four billion, five hundred four million, eight hundred ninety-six thousand, two hundred fifty 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 47225728375772040 cubic inches would be around 30121.6 feet tall.
Recreational maths with 47225728375772040
- 47225728375772040 backwards is 04027757382752274
- 47225728375772040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 47225728375772040's digits is 72
- More coming soon!
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