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314153940828 = 223713565150909
BaseRepresentation
bin1001001001001010000…
…10001011011101011100
31010000212221001201102210
410210211002023131130
520121341402101303
6400153105120420
731461012303060
oct4444502133534
91100787051383
10314153940828
11111260789562
1250a75629110
13238172b9320
14112c2c4baa0
15828a09e203
hex492508b75c

314153940828 has 96 divisors (see below), whose sum is σ = 902363051520. Its totient is φ = 82837497600.

The previous prime is 314153940827. The next prime is 314153940851. The reversal of 314153940828 is 828049351413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314153940827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6145438 + ... + 6196346.

It is an arithmetic number, because the mean of its divisors is an integer number (9399615120).

Almost surely, 2314153940828 is an apocalyptic number.

It is an amenable number.

314153940828 is an abundant number, since it is smaller than the sum of its proper divisors (588209110692).

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

314153940828 is a wasteful number, since it uses less digits than its factorization.

314153940828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56587 (or 56585 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 314153940828 in words is "three hundred fourteen billion, one hundred fifty-three million, nine hundred forty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 5651 11302 16953 22604 33906 39557 50909 67812 73463 79114 101818 118671 146926 152727 158228 203636 220389 237342 293852 305454 356363 440778 474684 514241 610908 661817 712726 881556 1028482 1069089 1323634 1425452 1542723 1985451 2056964 2138178 2647268 3085446 3970902 4276356 4632719 6170892 7941804 9265438 13898157 18530876 27796314 55592628 287686759 575373518 863060277 1150747036 1726120554 2013807313 3452241108 3739927867 4027614626 6041421939 7479855734 8055229252 11219783601 12082843878 14959711468 22439567202 24165687756 26179495069 44879134404 52358990138 78538485207 104717980276 157076970414 314153940828