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114937097856 = 273742759337
BaseRepresentation
bin110101100001011001…
…0001110111010000000
3101222200011102112102020
41223002302032322000
53340342344112411
6124445032521440
711206151132520
oct1530262167200
9358604375366
10114937097856
1144820aa4879
121a338250280
13aab9303899
1457c4b8d680
152eca776606
hex1ac2c8ee80

114937097856 has 64 divisors (see below), whose sum is σ = 348916198080. Its totient is φ = 32839170048.

The previous prime is 114937097837. The next prime is 114937097857. The reversal of 114937097856 is 658790739411.

114937097856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 114937097856.

It is not an unprimeable number, because it can be changed into a prime (114937097857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21376981 + ... + 21382356.

It is an arithmetic number, because the mean of its divisors is an integer number (5451815595).

Almost surely, 2114937097856 is an apocalyptic number.

114937097856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114937097856 is an abundant number, since it is smaller than the sum of its proper divisors (233979100224).

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

114937097856 is an equidigital number, since it uses as much as digits as its factorization.

114937097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42759361 (or 42759349 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 114937097856 in words is "one hundred fourteen billion, nine hundred thirty-seven million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 42759337 85518674 128278011 171037348 256556022 299315359 342074696 513112044 598630718 684149392 897946077 1026224088 1197261436 1368298784 1795892154 2052448176 2394522872 2736597568 3591784308 4104896352 4789045744 5473195136 7183568616 8209792704 9578091488 14367137232 16419585408 19156182976 28734274464 38312365952 57468548928 114937097856