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114332565432 = 233313719492131
BaseRepresentation
bin110101001111011000…
…0000111111110111000
3101221010000220002211110
41222132300013332320
53333123114043212
6124305035400320
711155160525361
oct1523660077670
9357100802743
10114332565432
11445408306a8
121a1a98b30a0
13aa20cabca7
145768786b68
152e92660a3c
hex1a9ec07fb8

114332565432 has 128 divisors (see below), whose sum is σ = 303323904000. Its totient is φ = 35849433600.

The previous prime is 114332565409. The next prime is 114332565497. The reversal of 114332565432 is 234565233411.

It is a super-2 number, since 2×1143325654322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53651007 + ... + 53653137.

It is an arithmetic number, because the mean of its divisors is an integer number (2369718000).

Almost surely, 2114332565432 is an apocalyptic number.

114332565432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114332565432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151661952000).

114332565432 is an abundant number, since it is smaller than the sum of its proper divisors (188991338568).

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

114332565432 is a wasteful number, since it uses less digits than its factorization.

114332565432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4153 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

Adding to 114332565432 its reverse (234565233411), we get a palindrome (348897798843).

The spelling of 114332565432 in words is "one hundred fourteen billion, three hundred thirty-two million, five hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 1949 2131 2294 3441 3898 4262 4588 5847 6393 6882 7796 8524 9176 11694 12786 13764 15592 17048 23388 25572 27528 46776 51144 60419 66061 72113 78847 120838 132122 144226 157694 181257 198183 216339 236541 241676 264244 288452 315388 362514 396366 432678 473082 483352 528488 576904 630776 725028 792732 865356 946164 1450056 1585464 1730712 1892328 2235503 2444257 4153319 4471006 4888514 6706509 7332771 8306638 8942012 9777028 12459957 13413018 14665542 16613276 17884024 19554056 24919914 26826036 29331084 33226552 49839828 53652072 58662168 99679656 128752889 153672803 257505778 307345606 386258667 461018409 515011556 614691212 772517334 922036818 1030023112 1229382424 1545034668 1844073636 3090069336 3688147272 4763856893 9527713786 14291570679 19055427572 28583141358 38110855144 57166282716 114332565432