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114265273728 = 273479621223
BaseRepresentation
bin110101001101010111…
…1011011010110000000
3101220221100021022222010
41222122233123112000
53333003402224403
6124254233212520
711153412541554
oct1523257332600
9356840238863
10114265273728
114450684a421
121a18b261140
13aa1007b108
14575d86b864
152e8b7bc603
hex1a9abdb580

114265273728 has 64 divisors (see below), whose sum is σ = 304151270400. Its totient is φ = 38008846848.

The previous prime is 114265273711. The next prime is 114265273751. The reversal of 114265273728 is 827372562411.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 126676 + ... + 494547.

It is an arithmetic number, because the mean of its divisors is an integer number (4752363600).

Almost surely, 2114265273728 is an apocalyptic number.

It is an amenable number.

114265273728 is an abundant number, since it is smaller than the sum of its proper divisors (189885996672).

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

114265273728 is an equidigital number, since it uses as much as digits as its factorization.

114265273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621719 (or 621707 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 114265273728 in words is "one hundred fourteen billion, two hundred sixty-five million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 479 958 1437 1916 2874 3832 5748 7664 11496 15328 22992 30656 45984 61312 91968 183936 621223 1242446 1863669 2484892 3727338 4969784 7454676 9939568 14909352 19879136 29818704 39758272 59637408 79516544 119274816 238549632 297565817 595131634 892697451 1190263268 1785394902 2380526536 3570789804 4761053072 7141579608 9522106144 14283159216 19044212288 28566318432 38088424576 57132636864 114265273728