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114013514140 = 22553269399851
BaseRepresentation
bin110101000101110111…
…1000010100110011100
3101220021210112121201221
41222023233002212130
53331444424423030
6124213241143124
711144234610601
oct1521357024634
9356253477657
10114013514140
1144397724749
121a11aa8aaa4
13a99cb70846
1457382546a8
152e7463be7a
hex1a8bbc299c

114013514140 has 48 divisors (see below), whose sum is σ = 244853370720. Its totient is φ = 44578476800.

The previous prime is 114013514119. The next prime is 114013514189. The reversal of 114013514140 is 41415310411.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85215 + ... + 485065.

It is an arithmetic number, because the mean of its divisors is an integer number (5101111890).

Almost surely, 2114013514140 is an apocalyptic number.

114013514140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114013514140 is an abundant number, since it is smaller than the sum of its proper divisors (130839856580).

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

114013514140 is a wasteful number, since it uses less digits than its factorization.

114013514140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400182 (or 400180 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 114013514140 its reverse (41415310411), we get a palindrome (155428824551).

The spelling of 114013514140 in words is "one hundred fourteen billion, thirteen million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 269 530 538 1060 1076 1345 2690 5380 14257 28514 57028 71285 142570 285140 399851 799702 1599404 1999255 3998510 7997020 21192103 42384206 84768412 105960515 107559919 211921030 215119838 423842060 430239676 537799595 1075599190 2151198380 5700675707 11401351414 22802702828 28503378535 57006757070 114013514140