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114131120440 = 23517167839883
BaseRepresentation
bin110101001001010111…
…1101011000100111000
3101220120222211122020211
41222102233223010320
53332220031323230
6124233042000504
711150163342241
oct1522257530470
9356528748224
10114131120440
1144448051037
121a152346134
13a9bb33a07c
145749b09cc8
152e7eb1d42a
hex1a92beb138

114131120440 has 32 divisors (see below), whose sum is σ = 271900612080. Its totient is φ = 42967009792.

The previous prime is 114131120431. The next prime is 114131120443. The reversal of 114131120440 is 44021131411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131120443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83919262 + ... + 83920621.

Almost surely, 2114131120440 is an apocalyptic number.

114131120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114131120440 is an abundant number, since it is smaller than the sum of its proper divisors (157769491640).

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

114131120440 is a wasteful number, since it uses less digits than its factorization.

114131120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167839911 (or 167839907 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 114131120440 its reverse (44021131411), we get a palindrome (158152251851).

The spelling of 114131120440 in words is "one hundred fourteen billion, one hundred thirty-one million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 167839883 335679766 671359532 839199415 1342719064 1678398830 2853278011 3356797660 5706556022 6713595320 11413112044 14266390055 22826224088 28532780110 57065560220 114131120440