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15146741344 = 257211320471
BaseRepresentation
bin11100001101101000…
…01110111001100000
31110002121021011222011
432012310032321200
5222010031210334
610542555122304
71044231114520
oct160664167140
943077234864
1015146741344
116472a38a59
122b28743394
131575076957
14a39901680
155d9b4d564
hex386d0ee60

15146741344 has 48 divisors (see below), whose sum is σ = 34241792256. Its totient is φ = 6460675200.

The previous prime is 15146741339. The next prime is 15146741387. The reversal of 15146741344 is 44314764151.

It is a junction number, because it is equal to n+sod(n) for n = 15146741297 and 15146741306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112972 + ... + 207499.

It is an arithmetic number, because the mean of its divisors is an integer number (713370672).

Almost surely, 215146741344 is an apocalyptic number.

15146741344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15146741344 is an abundant number, since it is smaller than the sum of its proper divisors (19095050912).

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

15146741344 is a wasteful number, since it uses less digits than its factorization.

15146741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320699 (or 320691 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The spelling of 15146741344 in words is "fifteen billion, one hundred forty-six million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2954 3376 5908 6752 11816 23632 47264 320471 640942 1281884 2243297 2563768 4486594 5127536 8973188 10255072 17946376 35892752 67619381 71785504 135238762 270477524 473335667 540955048 946671334 1081910096 1893342668 2163820192 3786685336 7573370672 15146741344