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141468384 = 2537272027
BaseRepresentation
bin10000110111010…
…10001011100000
3100212012100010210
420123222023200
5242203442014
622012054120
73335314161
oct1033521340
9325170123
10141468384
1172945322
123b464340
1323402805
1414b07768
15c646859
hex86ea2e0

141468384 has 48 divisors (see below), whose sum is σ = 372048768. Its totient is φ = 47068032.

The previous prime is 141468367. The next prime is 141468391. The reversal of 141468384 is 483864141.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 68779 + ... + 70805.

It is an arithmetic number, because the mean of its divisors is an integer number (7751016).

Almost surely, 2141468384 is an apocalyptic number.

It is an amenable number.

141468384 is an abundant number, since it is smaller than the sum of its proper divisors (230580384).

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

141468384 is a wasteful number, since it uses less digits than its factorization.

141468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 141468384 is about 11894.0482595288. The cubic root of 141468384 is about 521.0584751448.

The spelling of 141468384 in words is "one hundred forty-one million, four hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 727 1454 2027 2181 2908 4054 4362 5816 6081 8108 8724 11632 12162 16216 17448 23264 24324 32432 34896 48648 64864 69792 97296 194592 1473629 2947258 4420887 5894516 8841774 11789032 17683548 23578064 35367096 47156128 70734192 141468384