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114928000744 = 23175923959929
BaseRepresentation
bin110101100001000111…
…1100001111011101000
3101222122112022100112011
41223002033201323220
53340333032010434
6124444105525304
711206010613364
oct1530217417350
9358575270464
10114928000744
1144816950aa7
121a3351a3834
13aab7469c8b
1457c38a22a4
152ec9a7ae64
hex1ac23e1ee8

114928000744 has 64 divisors (see below), whose sum is σ = 233007840000. Its totient is φ = 52943751168.

The previous prime is 114928000723. The next prime is 114928000763. The reversal of 114928000744 is 447000829411.

It is a junction number, because it is equal to n+sod(n) for n = 114928000697 and 114928000706.

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, 1887772 + ... + 1947700.

It is an arithmetic number, because the mean of its divisors is an integer number (3640747500).

Almost surely, 2114928000744 is an apocalyptic number.

It is an amenable number.

114928000744 is an abundant number, since it is smaller than the sum of its proper divisors (118079839256).

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

114928000744 is a wasteful number, since it uses less digits than its factorization.

114928000744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60250 (or 60246 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 114928000744 in words is "one hundred fourteen billion, nine hundred twenty-eight million, seven hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 17 34 59 68 118 136 236 239 472 478 956 1003 1912 2006 4012 4063 8024 8126 14101 16252 28202 32504 56404 59929 112808 119858 239716 239717 479432 479434 958868 1018793 1917736 2037586 3535811 4075172 7071622 8150344 14143244 14323031 28286488 28646062 57292124 60108787 114584248 120217574 240435148 243491527 480870296 486983054 845058829 973966108 1690117658 1947932216 3380235316 6760470632 14366000093 28732000186 57464000372 114928000744