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442029929508 = 2232192029318503
BaseRepresentation
bin1100110111010110000…
…10010111010000100100
31120020221211022000021200
412123223002113100210
524220234130221013
6535022111242500
743635625256436
oct6335302272044
91506854260250
10442029929508
1116051140a532
1271802b19430
13328b6116b0b
14175741ba656
15b771705e73
hex66eb097424

442029929508 has 72 divisors (see below), whose sum is σ = 1176744878400. Its totient is φ = 139519164096.

The previous prime is 442029929461. The next prime is 442029929519. The reversal of 442029929508 is 805929920244.

It is a happy number.

442029929508 is a `hidden beast` number, since 4 + 4 + 20 + 2 + 99 + 29 + 508 = 666.

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, 1228585 + ... + 1547087.

Almost surely, 2442029929508 is an apocalyptic number.

It is an amenable number.

442029929508 is an abundant number, since it is smaller than the sum of its proper divisors (734714948892).

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

442029929508 is a wasteful number, since it uses less digits than its factorization.

442029929508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320561 (or 320556 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 442029929508 in words is "four hundred forty-two billion, twenty-nine million, nine hundred twenty-nine thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2029 4058 6087 8116 12174 18261 24348 36522 38551 73044 77102 115653 154204 231306 318503 346959 462612 637006 693918 955509 1274012 1387836 1911018 2866527 3822036 5733054 6051557 11466108 12103114 18154671 24206228 36309342 54464013 72618684 108928026 217856052 646242587 1292485174 1938727761 2584970348 3877455522 5816183283 7754911044 11632366566 12278609153 23264733132 24557218306 36835827459 49114436612 73671654918 110507482377 147343309836 221014964754 442029929508