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114134074632 = 233217382324391
BaseRepresentation
bin110101001001011101…
…0111100010100001000
3101220121012101201122100
41222102322330110020
53332221310342012
6124233225153400
711150230425114
oct1522272742410
9356535351570
10114134074632
1144449789616
121a15332b860
13a9bbb32906
14574a278744
152e800038dc
hex1a92ebc508

114134074632 has 96 divisors (see below), whose sum is σ = 327395278080. Its totient is φ = 35795934720.

The previous prime is 114134074631. The next prime is 114134074657. The reversal of 114134074632 is 236470431411.

114134074632 is a `hidden beast` number, since 1 + 1 + 4 + 13 + 4 + 0 + 7 + 4 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114134074631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4667157 + ... + 4691547.

It is an arithmetic number, because the mean of its divisors is an integer number (3410367480).

Almost surely, 2114134074632 is an apocalyptic number.

114134074632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114134074632 is an abundant number, since it is smaller than the sum of its proper divisors (213261203448).

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

114134074632 is a wasteful number, since it uses less digits than its factorization.

114134074632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28243 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 114134074632 in words is "one hundred fourteen billion, one hundred thirty-four million, seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3823 7646 11469 15292 22938 24391 30584 34407 45876 48782 64991 68814 73173 91752 97564 129982 137628 146346 194973 195128 219519 259964 275256 292692 389946 414647 439038 519928 584919 585384 779892 829294 878076 1169838 1243941 1559784 1658588 1756152 2339676 2487882 3317176 3731823 4679352 4975764 7463646 9951528 14927292 29854584 93246793 186493586 279740379 372987172 559480758 745974344 839221137 1118961516 1585195481 1678442274 2237923032 3170390962 3356884548 4755586443 6340781924 6713769096 9511172886 12681563848 14266759329 19022345772 28533518658 38044691544 57067037316 114134074632