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42346264324 = 227213149911087
BaseRepresentation
bin100111011100000010…
…001011011100000100
311001022011222010002011
4213130002023130010
51143211120424244
631241551224004
73026244210400
oct473402133404
9131264863064
1042346264324
1116a603a9171
128259818004
133cbb1a5650
14209a040100
15117c996434
hex9dc08b704

42346264324 has 72 divisors (see below), whose sum is σ = 92906352000. Its totient is φ = 16739682624.

The previous prime is 42346264313. The next prime is 42346264351.

42346264324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423462643242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3813909 + ... + 3824995.

It is an arithmetic number, because the mean of its divisors is an integer number (1290366000).

Almost surely, 242346264324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42346264324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46453176000).

42346264324 is an abundant number, since it is smaller than the sum of its proper divisors (50560087676).

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

42346264324 is a wasteful number, since it uses less digits than its factorization.

42346264324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12608 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 42346264324 in words is "forty-two billion, three hundred forty-six million, two hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 1499 2548 2998 5996 10493 11087 19487 20986 22174 38974 41972 44348 73451 77609 77948 136409 144131 146902 155218 272818 288262 293804 310436 543263 545636 576524 954863 1008917 1086526 1909726 2017834 2173052 3819452 4035668 7062419 14124838 16619413 28249676 33238826 66477652 116335891 216052369 232671782 432104738 465343564 814351237 864209476 1512366583 1628702474 3024733166 3257404948 6049466332 10586566081 21173132162 42346264324