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42350644605324 = 2231129101109538483
BaseRepresentation
bin10011010000100100001110…
…01000001011000110001100
312112221200102020110101220210
421220102013020023012030
521022333110004332244
6230023341220042420
711630506311364626
oct1150220710130614
9175850366411823
1042350644605324
1112548897889780
1248bba09233410
131a82858112b03
14a65ad4275c16
154d698662c4b9
hex26848720b18c

42350644605324 has 96 divisors (see below), whose sum is σ = 112623087709440. Its totient is φ = 12268309984000.

The previous prime is 42350644605253. The next prime is 42350644605329.

42350644605324 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42350644605329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54382614 + ... + 55155869.

It is an arithmetic number, because the mean of its divisors is an integer number (1173157163640).

Almost surely, 242350644605324 is an apocalyptic number.

42350644605324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42350644605324 is an abundant number, since it is smaller than the sum of its proper divisors (70272443104116).

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

42350644605324 is a wasteful number, since it uses less digits than its factorization.

42350644605324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109538631 (or 109538629 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 42350644605324 in words is "forty-two trillion, three hundred fifty billion, six hundred forty-four million, six hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 174 202 303 319 348 404 606 638 957 1111 1212 1276 1914 2222 2929 3333 3828 4444 5858 6666 8787 11716 13332 17574 32219 35148 64438 96657 128876 193314 386628 109538483 219076966 328615449 438153932 657230898 1204923313 1314461796 2409846626 3176616007 3614769939 4819693252 6353232014 7229539878 9529848021 11063386783 12706464028 14459079756 19059696042 22126773566 33190160349 34942776077 38119392084 44253547132 66380320698 69885552154 104828328231 121697254613 132760641396 139771104308 209656656462 243394509226 320838216707 365091763839 419313312924 486789018452 641676433414 730183527678 962514650121 1283352866828 1460367055356 1925029300242 3529220383777 3850058600484 7058440767554 10587661151331 14116881535108 21175322302662 42350644605324