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141053952 = 212313883
BaseRepresentation
bin10000110100001…
…01000000000000
3100211102021122110
420122011000000
5242102211302
621555135320
73331640004
oct1032050000
9324367573
10141053952
1172691a16
123b2a4540
13232b8ca0
1414a3a704
15c5b3b6c
hex8685000

141053952 has 104 divisors (see below), whose sum is σ = 405487264. Its totient is φ = 43352064.

The previous prime is 141053911. The next prime is 141053971. The reversal of 141053952 is 259350141.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

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, 159303 + ... + 160185.

It is an arithmetic number, because the mean of its divisors is an integer number (3898916).

Almost surely, 2141053952 is an apocalyptic number.

141053952 is a gapful number since it is divisible by the number (12) 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 141053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202743632).

141053952 is an abundant number, since it is smaller than the sum of its proper divisors (264433312).

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

141053952 is an equidigital number, since it uses as much as digits as its factorization.

141053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 141053952 is about 11876.6136587834. The cubic root of 141053952 is about 520.5491634231.

The spelling of 141053952 in words is "one hundred forty-one million, fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 883 1024 1248 1536 1664 1766 2048 2496 2649 3072 3328 3532 4096 4992 5298 6144 6656 7064 9984 10596 11479 12288 13312 14128 19968 21192 22958 26624 28256 34437 39936 42384 45916 53248 56512 68874 79872 84768 91832 113024 137748 159744 169536 183664 226048 275496 339072 367328 452096 550992 678144 734656 904192 1101984 1356288 1469312 1808384 2203968 2712576 2938624 3616768 4407936 5425152 5877248 8815872 10850304 11754496 17631744 23508992 35263488 47017984 70526976 141053952