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40191127960368 = 2437311221922917
BaseRepresentation
bin10010010001101101110011…
…11001111011101100110000
312021022020022210220101102110
421020312321321323230300
520231442412224212433
6221251314351445320
711315466421644000
oct1110667171735460
9167266283811373
1040191127960368
1111895a63a53610
124611387526840
1319570127b9938
149cd392174000
1549a6e433d963
hex248db9e7bb30

40191127960368 has 160 divisors (see below), whose sum is σ = 132088520793600. Its totient is φ = 10439253968640.

The previous prime is 40191127960343. The next prime is 40191127960391. The reversal of 40191127960368 is 86306972119104.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110780355 + ... + 111142562.

It is an arithmetic number, because the mean of its divisors is an integer number (825553254960).

Almost surely, 240191127960368 is an apocalyptic number.

40191127960368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40191127960368 is an abundant number, since it is smaller than the sum of its proper divisors (91897392833232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40191127960368 is a wasteful number, since it uses less digits than its factorization.

40191127960368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221922960 (or 221922940 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 40191127960368 in words is "forty trillion, one hundred ninety-one billion, one hundred twenty-seven million, nine hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 343 392 462 528 539 588 616 686 784 924 1029 1078 1176 1232 1372 1617 1848 2058 2156 2352 2744 3234 3696 3773 4116 4312 5488 6468 7546 8232 8624 11319 12936 15092 16464 22638 25872 30184 45276 60368 90552 181104 221922917 443845834 665768751 887691668 1331537502 1553460419 1775383336 2441152087 2663075004 3106920838 3550766672 4660381257 4882304174 5326150008 6213841676 7323456261 9320762514 9764608348 10652300016 10874222933 12427683352 14646912522 17088064609 18641525028 19529216696 21748445866 24855366704 29293825044 32622668799 34176129218 37283050056 39058433392 43496891732 51264193827 58587650088 65245337598 68352258436 74566100112 76119560531 86993783464 102528387654 117175300176 119616452263 130490675196 136704516872 152239121062 173987566928 205056775308 228358681593 239232904526 260981350392 273409033744 304478242124 358849356789 410113550616 456717363186 478465809052 521962700784 608956484248 717698713578 820227101232 837315165841 913434726372 956931618104 1217912968496 1435397427156 1674630331682 1826869452744 1913863236208 2511945497523 2870794854312 3349260663364 3653738905488 5023890995046 5741589708624 6698521326728 10047781990092 13397042653456 20095563980184 40191127960368