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10314552144 = 2431319998269
BaseRepresentation
bin10011001101100101…
…11001001101010000
3222121211122112112210
421212302321031100
5132111011132034
64423300352120
7513414150411
oct114662711520
928554575483
1010314552144
114413328766
121bba3a5640
13c84c11ac0
146dbc43808
154057e38e9
hex266cb9350

10314552144 has 80 divisors (see below), whose sum is σ = 28713440000. Its totient is φ = 3171737088.

The previous prime is 10314552107. The next prime is 10314552151. The reversal of 10314552144 is 44125541301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243242 + ... + 1251510.

It is an arithmetic number, because the mean of its divisors is an integer number (358918000).

Almost surely, 210314552144 is an apocalyptic number.

It is an amenable number.

10314552144 is an abundant number, since it is smaller than the sum of its proper divisors (18398887856).

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

10314552144 is a wasteful number, since it uses less digits than its factorization.

10314552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10314552144 in words is "ten billion, three hundred fourteen million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1999 3998 5997 7996 8269 11994 15992 16538 23988 24807 25987 31984 33076 47976 49614 51974 66152 77961 95952 99228 103948 107497 132304 155922 198456 207896 214994 311844 322491 396912 415792 429988 623688 644982 859976 1247376 1289964 1719952 2579928 5159856 16529731 33059462 49589193 66118924 99178386 132237848 198356772 214886503 264475696 396713544 429773006 644659509 793427088 859546012 1289319018 1719092024 2578638036 3438184048 5157276072 10314552144