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14261374020 = 22352396710687
BaseRepresentation
bin11010100100000101…
…10100110001000100
31100210220021212022210
431102002310301010
5213201402432040
610315050423420
71013260451625
oct152202646104
940726255283
1014261374020
1160591a0423
122920131b70
13146380466a
149940b3a4c
15587062480
hex3520b4c44

14261374020 has 96 divisors (see below), whose sum is σ = 41715007488. Its totient is φ = 3633581952.

The previous prime is 14261374003. The next prime is 14261374063. The reversal of 14261374020 is 2047316241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329117 + ... + 1339803.

It is an arithmetic number, because the mean of its divisors is an integer number (434531328).

Almost surely, 214261374020 is an apocalyptic number.

14261374020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14261374020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857503744).

14261374020 is an abundant number, since it is smaller than the sum of its proper divisors (27453633468).

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

14261374020 is a wasteful number, since it uses less digits than its factorization.

14261374020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 14261374020 in words is "fourteen billion, two hundred sixty-one million, three hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 967 1380 1934 2901 3868 4835 5802 9670 10687 11604 14505 19340 21374 22241 29010 32061 42748 44482 53435 58020 64122 66723 88964 106870 111205 128244 133446 160305 213740 222410 245801 266892 320610 333615 444820 491602 641220 667230 737403 983204 1229005 1334460 1474806 2458010 2949612 3687015 4916020 7374030 10334329 14748060 20668658 31002987 41337316 51671645 62005974 103343290 124011948 155014935 206686580 237689567 310029870 475379134 620059740 713068701 950758268 1188447835 1426137402 2376895670 2852274804 3565343505 4753791340 7130687010 14261374020