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132142424241231 = 32192343781357649
BaseRepresentation
bin11110000010111011001110…
…010000011011010001001111
3122022212200200202012020021100
4132002323032100123101033
5114310010141101204411
61145013220332434143
736555655313244525
oct3602731620332117
9568780622166240
10132142424241231
11391173185a14a8
12129a2106618953
135896c91a03bc1
14248ba2820a315
1510424db00b456
hex782ece41b44f

132142424241231 has 48 divisors (see below), whose sum is σ = 214529556384000. Its totient is φ = 77973242409216.

The previous prime is 132142424241161. The next prime is 132142424241353.

132142424241231 is a `hidden beast` number, since 1 + 3 + 2 + 142 + 4 + 242 + 41 + 231 = 666.

132142424241231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132142424241231 - 27 = 132142424241103 is a prime.

It is a super-2 number, since 2×1321424242412312 (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 (132142424241131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390509706 + ... + 390847943.

It is an arithmetic number, because the mean of its divisors is an integer number (4469365758000).

Almost surely, 2132142424241231 is an apocalyptic number.

132142424241231 is a deficient number, since it is larger than the sum of its proper divisors (82387132142769).

132142424241231 is a wasteful number, since it uses less digits than its factorization.

132142424241231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781357740 (or 781357737 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 132142424241231 in words is "one hundred thirty-two trillion, one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 19 23 43 57 69 129 171 207 387 437 817 989 1311 2451 2967 3933 7353 8901 18791 56373 169119 781357649 2344072947 7032218841 14845795331 17971225927 33598378907 44537385993 53913677781 100795136721 133612157979 161741033343 302385410163 341453292613 638369199233 772762714861 1024359877839 1915107597699 2318288144583 3073079633517 5745322793097 6954864433749 14682491582359 44047474747077 132142424241231