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42440604426 = 23311311229739
BaseRepresentation
bin100111100001101010…
…000011101100001010
311001112202111002101000
4213201222003230022
51143404243320201
631255201235430
73031501120413
oct474152035412
9131482432330
1042440604426
1116aa96842a0
128285332b76
1340048b6bac
1420a879a80a
151185dcdd86
hex9e1a83b0a

42440604426 has 64 divisors (see below), whose sum is σ = 103217587200. Its totient is φ = 12819380400.

The previous prime is 42440604403. The next prime is 42440604457. The reversal of 42440604426 is 62440604424.

42440604426 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 0 + 604 + 42 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69865 + ... + 299603.

It is an arithmetic number, because the mean of its divisors is an integer number (1612774800).

Almost surely, 242440604426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440604426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51608793600).

42440604426 is an abundant number, since it is smaller than the sum of its proper divisors (60776982774).

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

42440604426 is a wasteful number, since it uses less digits than its factorization.

42440604426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230072 (or 230066 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42440604426 in words is "forty-two billion, four hundred forty million, six hundred four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 311 594 622 933 1866 2799 3421 5598 6842 8397 10263 16794 20526 30789 61578 92367 184734 229739 459478 689217 1378434 2067651 2527129 4135302 5054258 6202953 7581387 12405906 15162774 22744161 45488322 68232483 71448829 136464966 142897658 214346487 428692974 643039461 785937119 1286078922 1571874238 1929118383 2357811357 3858236766 4715622714 7073434071 14146868142 21220302213 42440604426