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134232303232431 = 32374789679312391
BaseRepresentation
bin11110100001010101100100…
…110000000110010110101111
3122121021111001000012220111100
4132201111210300012112233
5120043230224111414211
61153253245132254143
740162651415464035
oct3641254460062657
9577244030186440
10134232303232431
11398526668226a8
121307b152911353
1359b9089c9c3b1
142520c41898555
15107ba54911156
hex7a1564c065af

134232303232431 has 48 divisors (see below), whose sum is σ = 199218382492480. Its totient is φ = 87031581719040.

The previous prime is 134232303232411. The next prime is 134232303232493.

134232303232431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 323 + 0 + 3 + 2 + 324 + 3 + 1 = 666.

134232303232431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134232303232431 - 218 = 134232302970287 is a prime.

It is a super-2 number, since 2×1342323032324312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134232303232411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10833042246 + ... + 10833054636.

Almost surely, 2134232303232431 is an apocalyptic number.

134232303232431 is a deficient number, since it is larger than the sum of its proper divisors (64986079260049).

134232303232431 is a wasteful number, since it uses less digits than its factorization.

134232303232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24016 (or 24013 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 13423230 and 3232431, that added together give a palindrome (16655661).

The spelling of 134232303232431 in words is "one hundred thirty-four trillion, two hundred thirty-two billion, three hundred three million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 37 111 333 4789 6793 12391 14367 20379 37173 43101 61137 111519 177193 251341 458467 531579 754023 1375401 1594737 2262069 4126203 32531677 59340499 84172063 97595031 178021497 252516189 292785093 534064491 757548567 1203672049 2195598463 3114366331 3611016147 6586795389 9343098993 10833048441 19760386167 28029296979 403100009707 1209300029121 3627900087363 14914700359159 44744101077477 134232303232431