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42144462016 = 2616712793083
BaseRepresentation
bin100111010000000000…
…010111010011000000
311000210010020111100121
4213100000113103000
51142302440241031
631205542030024
73021244005436
oct472000272300
9130703214317
1042144462016
11169674a50a8
128202118314
133c88439bb7
14207b30cd56
151169dd3011
hex9d00174c0

42144462016 has 56 divisors (see below), whose sum is σ = 84224286720. Its totient is φ = 20922884352.

The previous prime is 42144461971. The next prime is 42144462053. The reversal of 42144462016 is 61026444124.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13668411 + ... + 13671493.

It is an arithmetic number, because the mean of its divisors is an integer number (1504005120).

Almost surely, 242144462016 is an apocalyptic number.

It is an amenable number.

42144462016 is a deficient number, since it is larger than the sum of its proper divisors (42079824704).

42144462016 is a wasteful number, since it uses less digits than its factorization.

42144462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 42144462016 in words is "forty-two billion, one hundred forty-four million, four hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 167 334 668 1279 1336 2558 2672 3083 5116 5344 6166 10232 10688 12332 20464 24664 40928 49328 81856 98656 197312 213593 427186 514861 854372 1029722 1708744 2059444 3417488 3943157 4118888 6834976 7886314 8237776 13669952 15772628 16475552 31545256 32951104 63090512 126181024 252362048 658507219 1317014438 2634028876 5268057752 10536115504 21072231008 42144462016