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142218816 = 2636112143
BaseRepresentation
bin10000111101000…
…01011001000000
3100220121110112120
420132201121000
5242402000231
622040124240
73344561055
oct1036413100
9326543476
10142218816
1173308113
123b766680
132360625c
1414c6102c
15c743d96
hex87a1640

142218816 has 56 divisors (see below), whose sum is σ = 382487424. Its totient is φ = 46625280.

The previous prime is 142218809. The next prime is 142218827. The reversal of 142218816 is 618812241.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 5641 + ... + 17783.

Almost surely, 2142218816 is an apocalyptic number.

142218816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191243712).

142218816 is an abundant number, since it is smaller than the sum of its proper divisors (240268608).

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

142218816 is a wasteful number, since it uses less digits than its factorization.

142218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12219 (or 12209 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 142218816 is about 11925.5530689356. The cubic root of 142218816 is about 521.9781849635.

The spelling of 142218816 in words is "one hundred forty-two million, two hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 12143 24286 36429 48572 72858 97144 145716 194288 291432 388576 582864 740723 777152 1165728 1481446 2222169 2331456 2962892 4444338 5925784 8888676 11851568 17777352 23703136 35554704 47406272 71109408 142218816