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114544125120 = 2635119316797
BaseRepresentation
bin110101010101101011…
…1001010010011000000
3101221122202222110011110
41222223113022103000
53334041244000440
6124342034043320
711163336666435
oct1525327122300
9357582873143
10114544125120
114463a199617
121a248719540
13aa55a82a39
1457888d7b8c
152ea6000080
hex1aab5ca4c0

114544125120 has 56 divisors (see below), whose sum is σ = 363677600304. Its totient is φ = 30545099776.

The previous prime is 114544125089. The next prime is 114544125161. The reversal of 114544125120 is 21521445411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59657439 + ... + 59659358.

Almost surely, 2114544125120 is an apocalyptic number.

114544125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114544125120 is an abundant number, since it is smaller than the sum of its proper divisors (249133475184).

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

114544125120 is a wasteful number, since it uses less digits than its factorization.

114544125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119316817 (or 119316807 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 114544125120 in words is "one hundred fourteen billion, five hundred forty-four million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 119316797 238633594 357950391 477267188 596583985 715900782 954534376 1193167970 1431801564 1789751955 1909068752 2386335940 2863603128 3579503910 3818137504 4772671880 5727206256 7159007820 7636275008 9545343760 11454412512 14318015640 19090687520 22908825024 28636031280 38181375040 57272062560 114544125120