Search a number
-
+
151214161412151 = 32176779145792573
BaseRepresentation
bin100010011000011101001010…
…011000000100000000110111
3201211101221011220101011211100
4202120131022120010000313
5124304443100310142101
61253334454324541143
743564601612365335
oct4230351230040067
9654357156334740
10151214161412151
11441aa624a76962
1214b623988517b3
13664b585028c26
14294ab39636b55
1512736624d3e86
hex89874a604037

151214161412151 has 24 divisors (see below), whose sum is σ = 231302834502480. Its totient is φ = 94865477089536.

The previous prime is 151214161412147. The next prime is 151214161412159.

151214161412151 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 14 + 1 + 614 + 1 + 21 + 5 + 1 = 666.

151214161412151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 151214161412151 - 22 = 151214161412147 is a prime.

It is a super-2 number, since 2×1512141614121512 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151214161412159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71859100 + ... + 73933473.

It is an arithmetic number, because the mean of its divisors is an integer number (9637618104270).

Almost surely, 2151214161412151 is an apocalyptic number.

151214161412151 is a deficient number, since it is larger than the sum of its proper divisors (80088673090329).

151214161412151 is a wasteful number, since it uses less digits than its factorization.

151214161412151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145799375 (or 145799372 counting only the distinct ones).

The product of its digits is 9600, while the sum is 36.

The spelling of 151214161412151 in words is "one hundred fifty-one trillion, two hundred fourteen billion, one hundred sixty-one million, four hundred twelve thousand, one hundred fifty-one".

Divisors: 1 3 9 17 51 153 6779 20337 61011 115243 345729 1037187 145792573 437377719 1312133157 2478473741 7435421223 22306263669 988327852367 2964983557101 8894950671303 16801573490239 50404720470717 151214161412151