Search a number
-
+
315189341423328 = 25312100727132499
BaseRepresentation
bin100011110101010011011110…
…0101110111000011011100000
31112022222210210010120212010010
41013222212330232320123200
5312303030232401021303
63034203552353404520
7123250451464344141
oct10752467456703340
91468883703525103
10315189341423328
119147a05a29a849
122b425980869740
13106b42c568b558
1457b93619d5ac8
152668be884ac03
hex11ea9bcbb86e0

315189341423328 has 48 divisors (see below), whose sum is σ = 827378889120000. Its totient is φ = 105062241695616.

The previous prime is 315189341423321. The next prime is 315189341423339. The reversal of 315189341423328 is 823324143981513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315189341423321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949578 + ... + 25182921.

It is an arithmetic number, because the mean of its divisors is an integer number (17237060190000).

Almost surely, 2315189341423328 is an apocalyptic number.

It is an amenable number.

315189341423328 is an abundant number, since it is smaller than the sum of its proper divisors (512189547696672).

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

315189341423328 is a wasteful number, since it uses less digits than its factorization.

315189341423328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27253519 (or 27253511 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 315189341423328 in words is "three hundred fifteen trillion, one hundred eighty-nine billion, three hundred forty-one million, four hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 121007 242014 363021 484028 726042 968056 1452084 1936112 2904168 3872224 5808336 11616672 27132499 54264998 81397497 108529996 162794994 217059992 325589988 434119984 651179976 868239968 1302359952 2604719904 3283222306493 6566444612986 9849666919479 13132889225972 19699333838958 26265778451944 39398667677916 52531556903888 78797335355832 105063113807776 157594670711664 315189341423328