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42317044071324 = 223113492152942667
BaseRepresentation
bin10011001111100101101000…
…11000010011101110011100
312112211110200120010102102120
421213302310120103232130
521021310301240240244
6230000103124022540
711625206541511251
oct1147626430235634
9175743616112376
1042317044071324
11125356151a2210
1248b53b0531a50
131a7c631b11829
14a6422797d428
154d5b6b888819
hex267cb4613b9c

42317044071324 has 96 divisors (see below), whose sum is σ = 108032303904000. Its totient is φ = 12785709980160.

The previous prime is 42317044071301. The next prime is 42317044071329.

It is a happy number.

42317044071324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423170440713242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42317044071329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991776639 + ... + 991819305.

It is an arithmetic number, because the mean of its divisors is an integer number (1125336499000).

Almost surely, 242317044071324 is an apocalyptic number.

42317044071324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42317044071324 is an abundant number, since it is smaller than the sum of its proper divisors (65715259832676).

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

42317044071324 is a wasteful number, since it uses less digits than its factorization.

42317044071324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64563 (or 64561 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 42317044071324 in words is "forty-two trillion, three hundred seventeen billion, forty-four million, seventy-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 349 698 1047 1396 2094 3839 4188 7678 11517 15356 21529 23034 42667 43058 46068 64587 85334 86116 128001 129174 170668 236819 256002 258348 469337 473638 512004 710457 938674 947276 1408011 1420914 1877348 2816022 2841828 5632044 7513621 14890783 15027242 22540863 29781566 30054484 44672349 45081726 59563132 82649831 89344698 90163452 163798613 165299662 178689396 247949493 327597226 330599324 491395839 495898986 655194452 918577843 982791678 991797972 1837155686 1965583356 2755733529 3674311372 5511467058 10104356273 11022934116 20208712546 30313068819 40417425092 60626137638 121252275276 320583667207 641167334414 961751001621 1282334668828 1923502003242 3526420339277 3847004006484 7052840678554 10579261017831 14105681357108 21158522035662 42317044071324