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42414265926 = 2332930788223
BaseRepresentation
bin100111100000000101…
…100101011001000110
311001110220220221202000
4213200011211121012
51143331023002201
631252420530130
73031031211654
oct474005453106
9131426827660
1042414265926
1116a9582483a
128278550946
133ccc2c4696
1420a50a1dd4
151183929d86
hex9e0165646

42414265926 has 64 divisors (see below), whose sum is σ = 97822771200. Its totient is φ = 13605949728.

The previous prime is 42414265921. The next prime is 42414265951. The reversal of 42414265926 is 62956241424.

It is a happy number.

42414265926 is a `hidden beast` number, since 4 + 24 + 14 + 26 + 592 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414265921) 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, 436651 + ... + 524873.

It is an arithmetic number, because the mean of its divisors is an integer number (1528480800).

Almost surely, 242414265926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414265926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48911385600).

42414265926 is an abundant number, since it is smaller than the sum of its proper divisors (55408505274).

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

42414265926 is a wasteful number, since it uses less digits than its factorization.

42414265926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88570 (or 88564 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 42414265926 in words is "forty-two billion, four hundred fourteen million, two hundred sixty-five thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 307 522 614 783 921 1566 1842 2763 5526 8289 8903 16578 17806 26709 53418 80127 88223 160254 176446 240381 264669 480762 529338 794007 1588014 2382021 2558467 4764042 5116934 7675401 15350802 23026203 27084461 46052406 54168922 69078609 81253383 138157218 162506766 243760149 487520298 731280447 785449369 1462560894 1570898738 2356348107 4712696214 7069044321 14138088642 21207132963 42414265926