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14292167716 = 2217401557941
BaseRepresentation
bin11010100111110000…
…10010110000100100
31100220001020100100001
431103320102300210
5213232243331331
610322110431044
71014113264311
oct152370226044
940801210301
1014292167716
116074613162
12292a502484
131469cc6998
1499820bd08
15589ae6561
hex353e12c24

14292167716 has 48 divisors (see below), whose sum is σ = 26624514672. Its totient is φ = 6689792000.

The previous prime is 14292167693. The next prime is 14292167717. The reversal of 14292167716 is 61776129241.

It can be written as a sum of positive squares in 8 ways, for example, as 1319868900 + 12972298816 = 36330^2 + 113896^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14292167717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15187806 + ... + 15188746.

It is an arithmetic number, because the mean of its divisors is an integer number (554677389).

Almost surely, 214292167716 is an apocalyptic number.

It is an amenable number.

14292167716 is a deficient number, since it is larger than the sum of its proper divisors (12332346956).

14292167716 is a wasteful number, since it uses less digits than its factorization.

14292167716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The spelling of 14292167716 in words is "fourteen billion, two hundred ninety-two million, one hundred sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 17 34 68 401 557 802 941 1114 1604 1882 2228 3764 6817 9469 13634 15997 18938 27268 31994 37876 63988 223357 377341 446714 524137 754682 893428 1048274 1509364 2096548 3797069 6414797 7594138 8910329 12829594 15188276 17820658 25659188 35641316 210178937 420357874 840715748 3573041929 7146083858 14292167716