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14020928100 = 22325239472
BaseRepresentation
bin11010000111011011…
…00110001001100100
31100012010211221112100
431003231212021210
5212203324144400
610235141052100
71004310631254
oct150355461144
940163757470
1014020928100
115a454a2893
1228736b7030
131425a5887a
149701a3964
15570db9100
hex343b66264

14020928100 has 81 divisors (see below), whose sum is σ = 43958957497. Its totient is φ = 3737966880.

The previous prime is 14020928063. The next prime is 14020928189. The reversal of 14020928100 is 182902041.

The square root of 14020928100 is 118410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5047534116 + 8973393984 = 71046^2 + 94728^2 .

It is a super-2 number, since 2×140209281002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3550327 + ... + 3554273.

Almost surely, 214020928100 is an apocalyptic number.

14020928100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14020928100 is the 118410-th square number.

It is an amenable number.

14020928100 is an abundant number, since it is smaller than the sum of its proper divisors (29938029397).

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

14020928100 is an equidigital number, since it uses as much as digits as its factorization.

14020928100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14020928100 in words is "fourteen billion, twenty million, nine hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3947 7894 11841 15788 19735 23682 35523 39470 47364 59205 71046 78940 98675 118410 142092 177615 197350 236820 296025 355230 394700 592050 710460 888075 1184100 1776150 3552300 15578809 31157618 46736427 62315236 77894045 93472854 140209281 155788090 186945708 233682135 280418562 311576180 389470225 467364270 560837124 701046405 778940450 934728540 1168410675 1402092810 1557880900 2336821350 2804185620 3505232025 4673642700 7010464050 14020928100