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42332611623324 = 2231126891017711719
BaseRepresentation
bin10011010000000010101000…
…10001110011100110011100
312112212221212111020000002120
421220001110101303212130
521022034142033421244
6230011155554422540
711626300402514241
oct1150012421634634
9175787774200076
1042332611623324
111254118371a470
1248b8415b91a50
131a80c43105169
14a64ca33015c8
154d627d40b819
hex26805447399c

42332611623324 has 96 divisors (see below), whose sum is σ = 107815602854400. Its totient is φ = 12820939407360.

The previous prime is 42332611623299. The next prime is 42332611623331.

42332611623324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3612299937 + ... + 3612311655.

It is an arithmetic number, because the mean of its divisors is an integer number (1123079196400).

Almost surely, 242332611623324 is an apocalyptic number.

42332611623324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42332611623324 is an abundant number, since it is smaller than the sum of its proper divisors (65482991231076).

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

42332611623324 is a wasteful number, since it uses less digits than its factorization.

42332611623324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24603 (or 24601 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 4233261 and 1623324, that added together give a palindrome (5856585).

The spelling of 42332611623324 in words is "forty-two trillion, three hundred thirty-two billion, six hundred eleven million, six hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2689 5378 8067 10177 10756 11719 16134 20354 23438 29579 30531 32268 35157 40708 46876 59158 61062 70314 88737 111947 118316 122124 128909 140628 177474 223894 257818 335841 354948 386727 447788 515636 671682 773454 1343364 1546908 27365953 31512391 54731906 63024782 82097859 94537173 109463812 119264263 126049564 164195718 189074346 238528526 301025483 328391436 346636301 357792789 378148692 477057052 602050966 693272602 715585578 903076449 1039908903 1204101932 1311906893 1386545204 1431171156 1806152898 2079817806 2623813786 3612305796 3935720679 4159635612 5247627572 7871441358 15742882716 320701603207 641403206414 962104809621 1282806412828 1924209619242 3527717635277 3848419238484 7055435270554 10583152905831 14110870541108 21166305811662 42332611623324