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141550668 = 223274313063
BaseRepresentation
bin10000110111111…
…10010001001100
3100212100112000100
420123332101030
5242214110133
622013531100
73336106110
oct1033762114
9325315010
10141550668
11729a1126
123b4a3a90
13234310bc
1414b29740
15c660e13
hex86fe44c

141550668 has 72 divisors (see below), whose sum is σ = 418466048. Its totient is φ = 39499488.

The previous prime is 141550637. The next prime is 141550679. The reversal of 141550668 is 866055141.

141550668 is a `hidden beast` number, since 1 + 41 + 550 + 6 + 68 = 666.

141550668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1415506682 = 40073183222492448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305 + ... + 17367.

Almost surely, 2141550668 is an apocalyptic number.

141550668 is a gapful number since it is divisible by the number (18) 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 141550668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209233024).

141550668 is an abundant number, since it is smaller than the sum of its proper divisors (276915380).

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

141550668 is a wasteful number, since it uses less digits than its factorization.

141550668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 141550668 is about 11897.5067976446. The cubic root of 141550668 is about 521.1594787859.

The spelling of 141550668 in words is "one hundred forty-one million, five hundred fifty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 13063 26126 39189 52252 78378 91441 117567 156756 182882 235134 274323 365764 470268 548646 561709 822969 1097292 1123418 1645938 1685127 2246836 3291876 3370254 3931963 5055381 6740508 7863926 10110762 11795889 15727852 20221524 23591778 35387667 47183556 70775334 141550668