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141382368 = 2533163637
BaseRepresentation
bin10000110110101…
…01001011100000
3100212000222011000
420123111023200
5242143213433
622010152000
73334505331
oct1033251340
9325028130
10141382368
1172896736
123b422600
13233a260a
1414ac4288
15c62b113
hex86d52e0

141382368 has 48 divisors (see below), whose sum is σ = 412367760. Its totient is φ = 47127168.

The previous prime is 141382361. The next prime is 141382411. The reversal of 141382368 is 863283141.

141382368 is a `hidden beast` number, since 1 + 413 + 8 + 236 + 8 = 666.

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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141382361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80955 + ... + 82682.

It is an arithmetic number, because the mean of its divisors is an integer number (8590995).

Almost surely, 2141382368 is an apocalyptic number.

141382368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141382368 is an abundant number, since it is smaller than the sum of its proper divisors (270985392).

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

141382368 is a wasteful number, since it uses less digits than its factorization.

141382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163656 (or 163642 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 141382368 is about 11890.4317835813. The cubic root of 141382368 is about 520.9528485934.

The spelling of 141382368 in words is "one hundred forty-one million, three hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 163637 327274 490911 654548 981822 1309096 1472733 1963644 2618192 2945466 3927288 4418199 5236384 5890932 7854576 8836398 11781864 15709152 17672796 23563728 35345592 47127456 70691184 141382368