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141306408 = 23321962589
BaseRepresentation
bin10000110110000…
…10101000101000
3100211220002221200
420123002220220
5242133301113
622004404200
73334041015
oct1033025050
9324802850
10141306408
1172844661
123b3a6660
1323376b79
1414aa470c
15c613873
hex86c2a28

141306408 has 24 divisors (see below), whose sum is σ = 382705050. Its totient is φ = 47102112.

The previous prime is 141306391. The next prime is 141306413. The reversal of 141306408 is 804603141.

141306408 is a `hidden beast` number, since 1 + 4 + 13 + 0 + 640 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122279364 + 19027044 = 11058^2 + 4362^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 981223 + ... + 981366.

Almost surely, 2141306408 is an apocalyptic number.

141306408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141306408 is an abundant number, since it is smaller than the sum of its proper divisors (241398642).

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

141306408 is a wasteful number, since it uses less digits than its factorization.

141306408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962601 (or 1962594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141306408 is about 11887.2371895239. The cubic root of 141306408 is about 520.8595350545.

Adding to 141306408 its reverse (804603141), we get a palindrome (945909549).

The spelling of 141306408 in words is "one hundred forty-one million, three hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1962589 3925178 5887767 7850356 11775534 15700712 17663301 23551068 35326602 47102136 70653204 141306408