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114031757088 = 2532419657161
BaseRepresentation
bin110101000110011010…
…0101000011100100000
3101220100001212110100200
41222030310220130200
53332014112211323
6124215132145200
711144545641204
oct1521464503440
9356301773320
10114031757088
11443a6a54967
121a125008200
13a9a388a2a2
14573a842b04
152e76042443
hex1a8cd28720

114031757088 has 72 divisors (see below), whose sum is σ = 332187058476. Its totient is φ = 37083494400.

The previous prime is 114031757069. The next prime is 114031757101. The reversal of 114031757088 is 880757130411.

114031757088 is a `hidden beast` number, since 1 + 1 + 40 + 31 + 7 + 570 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108828731664 + 5203025424 = 329892^2 + 72132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4816773 + ... + 4840388.

Almost surely, 2114031757088 is an apocalyptic number.

114031757088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114031757088 is an abundant number, since it is smaller than the sum of its proper divisors (218155301388).

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

114031757088 is a wasteful number, since it uses less digits than its factorization.

114031757088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657218 (or 9657207 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 114031757088 its reverse (880757130411), we get a palindrome (994788887499).

The spelling of 114031757088 in words is "one hundred fourteen billion, thirty-one million, seven hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 9657161 19314322 28971483 38628644 57942966 77257288 86914449 115885932 154514576 173828898 231771864 309029152 347657796 395943601 463543728 695315592 791887202 927087456 1187830803 1390631184 1583774404 2375661606 2781262368 3167548808 3563492409 4751323212 6335097616 7126984818 9502646424 12670195232 14253969636 19005292848 28507939272 38010585696 57015878544 114031757088