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114701117472 = 2533132755923
BaseRepresentation
bin110101011010010111…
…0000010100000100000
3101222001201101111012000
41222310232002200200
53334401441224342
6124405403004000
711200254261204
oct1526456024040
9358051344160
10114701117472
114470a877267
121a291209600
13aa7c45c516
1457a16c2b04
152eb4bb144c
hex1ab4b82820

114701117472 has 48 divisors (see below), whose sum is σ = 334544928480. Its totient is φ = 38233705536.

The previous prime is 114701117467. The next prime is 114701117551. The reversal of 114701117472 is 274711107411.

It is a happy number.

114701117472 is a `hidden beast` number, since 1 + 1 + 4 + 70 + 1 + 117 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66377098 + ... + 66378825.

It is an arithmetic number, because the mean of its divisors is an integer number (6969686010).

Almost surely, 2114701117472 is an apocalyptic number.

114701117472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114701117472 is an abundant number, since it is smaller than the sum of its proper divisors (219843811008).

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

114701117472 is a wasteful number, since it uses less digits than its factorization.

114701117472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132755942 (or 132755928 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 114701117472 in words is "one hundred fourteen billion, seven hundred one million, one hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 132755923 265511846 398267769 531023692 796535538 1062047384 1194803307 1593071076 2124094768 2389606614 3186142152 3584409921 4248189536 4779213228 6372284304 7168819842 9558426456 12744568608 14337639684 19116852912 28675279368 38233705824 57350558736 114701117472