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4314735456 = 253172643833
BaseRepresentation
bin1000000010010110…
…11010001101100000
3102010200221021022220
410001023122031200
532314033013311
61552051431040
7211631434443
oct40113321540
912120837286
104314735456
111914612679
12a04bb5480
13539bab605
142cd08165a
151a3be5206
hex1012da360

4314735456 has 48 divisors (see below), whose sum is σ = 11992431024. Its totient is φ = 1353641984.

The previous prime is 4314735437. The next prime is 4314735463. The reversal of 4314735456 is 6545374134.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1320285 + ... + 1323548.

It is an arithmetic number, because the mean of its divisors is an integer number (249842313).

Almost surely, 24314735456 is an apocalyptic number.

It is an amenable number.

4314735456 is an abundant number, since it is smaller than the sum of its proper divisors (7677695568).

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

4314735456 is a wasteful number, since it uses less digits than its factorization.

4314735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643863 (or 2643855 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 4314735456 is about 65686.6459487771. The cubic root of 4314735456 is about 1627.9887190408.

The spelling of 4314735456 in words is "four billion, three hundred fourteen million, seven hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2643833 5287666 7931499 10575332 15862998 21150664 31725996 42301328 44945161 63451992 84602656 89890322 126903984 134835483 179780644 253807968 269670966 359561288 539341932 719122576 1078683864 1438245152 2157367728 4314735456