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141883392 = 211373299
BaseRepresentation
bin10000111010011…
…11100000000000
3100212222102102110
420131033200000
5242310232032
622025015320
73341663130
oct1035174000
9325872373
10141883392
11730a9102
123b624540
1323519691
1414bb4ac0
15c6c97cc
hex874f800

141883392 has 96 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 40525824.

The previous prime is 141883369. The next prime is 141883451. The reversal of 141883392 is 293388141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 141883392.

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, 41359 + ... + 44657.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2141883392 is an apocalyptic number.

141883392 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 141883392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

141883392 is an abundant number, since it is smaller than the sum of its proper divisors (290548608).

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

141883392 is an equidigital number, since it uses as much as digits as its factorization.

141883392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3311 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 141883392 is about 11911.4815199454. The cubic root of 141883392 is about 521.5674989472.

The spelling of 141883392 in words is "one hundred forty-one million, eight hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3299 3584 5376 6144 6598 7168 9897 10752 13196 14336 19794 21504 23093 26392 39588 43008 46186 52784 69279 79176 92372 105568 138558 158352 184744 211136 277116 316704 369488 422272 554232 633408 738976 844544 1108464 1266816 1477952 1689088 2216928 2533632 2955904 3378176 4433856 5067264 5911808 6756352 8867712 10134528 11823616 17735424 20269056 23647232 35470848 47294464 70941696 141883392