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142556040064032 = 2537212136964381
BaseRepresentation
bin100000011010011101101010…
…001000001110110000100000
3200200202020001112120022121220
4200122131222020032300200
5122141114232224022112
61223105201332215040
742012222365250420
oct4032355210166040
9620666045508556
10142556040064032
114147174a208031
1213ba439546a480
136170c9131802a
14272ba6b96c480
151173322d9098c
hex81a76a20ec20

142556040064032 has 48 divisors (see below), whose sum is σ = 427668120194112. Its totient is φ = 40730297160960.

The previous prime is 142556040063953. The next prime is 142556040064073. The reversal of 142556040064032 is 230460040655241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 106068481519 + ... + 106068482862.

It is an arithmetic number, because the mean of its divisors is an integer number (8909752504044).

Almost surely, 2142556040064032 is an apocalyptic number.

142556040064032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142556040064032 is an abundant number, since it is smaller than the sum of its proper divisors (285112080130080).

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

142556040064032 is a wasteful number, since it uses less digits than its factorization.

142556040064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212136964401 (or 212136964393 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 142556040064032 in words is "one hundred forty-two trillion, five hundred fifty-six billion, forty million, sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 212136964381 424273928762 636410893143 848547857524 1272821786286 1484958750667 1697095715048 2545643572572 2969917501334 3394191430096 4454876252001 5091287145144 5939835002668 6788382860192 8909752504002 10182574290288 11879670005336 17819505008004 20365148580576 23759340010672 35639010016008 47518680021344 71278020032016 142556040064032