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141414152 = 231121391051
BaseRepresentation
bin10000110110111…
…00111100001000
3100212002120202012
420123130330020
5242200223102
622010555052
73335000105
oct1033347410
9325076665
10141414152
1172908600
123b438a88
13233b3c19
1414ad1aac
15c635752
hex86dcf08

141414152 has 48 divisors (see below), whose sum is σ = 293823600. Its totient is φ = 63756000.

The previous prime is 141414113. The next prime is 141414167. The reversal of 141414152 is 251414141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134027 + ... + 135077.

It is an arithmetic number, because the mean of its divisors is an integer number (6121325).

Almost surely, 2141414152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146911800).

141414152 is an abundant number, since it is smaller than the sum of its proper divisors (152409448).

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

141414152 is a wasteful number, since it uses less digits than its factorization.

141414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 141414152 is about 11891.7682453031. The cubic root of 141414152 is about 520.9918839294.

Adding to 141414152 its reverse (251414141), we get a palindrome (392828293).

The spelling of 141414152 in words is "one hundred forty-one million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 484 556 968 1051 1112 1529 2102 3058 4204 6116 8408 11561 12232 16819 23122 33638 46244 67276 92488 127171 134552 146089 254342 292178 508684 584356 1017368 1168712 1606979 3213958 6427916 12855832 17676769 35353538 70707076 141414152