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141461136 = 24321317499
BaseRepresentation
bin10000110111010…
…00011010010000
3100212011222012100
420123220122100
5242203224021
622012000400
73335254065
oct1033503220
9325158170
10141461136
117293a933
123b460100
13233cc41b
1414b04c6c
15c644626
hex86e8690

141461136 has 60 divisors (see below), whose sum is σ = 398970000. Its totient is φ = 46787520.

The previous prime is 141461123. The next prime is 141461161. The reversal of 141461136 is 631164141.

141461136 is a `hidden beast` number, since 1 + 4 + 14 + 611 + 36 = 666.

141461136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414611362 = 40022505996820992, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15115 + ... + 22613.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2141461136 is an apocalyptic number.

141461136 is a gapful number since it is divisible by the number (16) 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 141461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199485000).

141461136 is an abundant number, since it is smaller than the sum of its proper divisors (257508864).

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

141461136 is a wasteful number, since it uses less digits than its factorization.

141461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7635 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 141461136 is about 11893.7435654213. The cubic root of 141461136 is about 521.0495763454.

The spelling of 141461136 in words is "one hundred forty-one million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 7499 9432 14998 18864 22497 29996 44994 59992 67491 89988 119984 134982 179976 269964 359952 539928 982369 1079856 1964738 2947107 3929476 5894214 7858952 8841321 11788428 15717904 17682642 23576856 35365284 47153712 70730568 141461136