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141218016 = 2531471021
BaseRepresentation
bin10000110101011…
…01000011100000
3100211201121200220
420122231003200
5242122434031
622002443040
73333222222
oct1032550340
9324647626
10141218016
1172794205
123b363480
1323345874
1414a80412
15c5e7596
hex86ad0e0

141218016 has 24 divisors (see below), whose sum is σ = 370697544. Its totient is φ = 47072640.

The previous prime is 141217987. The next prime is 141218029. The reversal of 141218016 is 610812141.

141218016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 735415 + ... + 735606.

It is an arithmetic number, because the mean of its divisors is an integer number (15445731).

Almost surely, 2141218016 is an apocalyptic number.

141218016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141218016 is an abundant number, since it is smaller than the sum of its proper divisors (229479528).

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

141218016 is a wasteful number, since it uses less digits than its factorization.

141218016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471034 (or 1471026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 141218016 is about 11883.5186708315. The cubic root of 141218016 is about 520.7509072391.

The spelling of 141218016 in words is "one hundred forty-one million, two hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1471021 2942042 4413063 5884084 8826126 11768168 17652252 23536336 35304504 47072672 70609008 141218016