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14004500100 = 22352144732261
BaseRepresentation
bin11010000101011101…
…11011011010000100
31100010222221022112220
431002232323122010
5212140123000400
610233353012340
71004021200233
oct150256733204
940128838486
1014004500100
115a371a2228
12286a0b40b0
131422526266
1496bd28b1a
1556e7217a0
hex342bbb684

14004500100 has 72 divisors (see below), whose sum is σ = 40548946368. Its totient is φ = 3731836800.

The previous prime is 14004500039. The next prime is 14004500129. The reversal of 14004500100 is 100540041.

14004500100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140045001002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14004500100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 417970 + ... + 450230.

Almost surely, 214004500100 is an apocalyptic number.

14004500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004500100 is an abundant number, since it is smaller than the sum of its proper divisors (26544446268).

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

14004500100 is a wasteful number, since it uses less digits than its factorization.

14004500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33725 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

It can be divided in two parts, 1400 and 4500100, that added together give a triangular number (4501500 = T3000).

The spelling of 14004500100 in words is "fourteen billion, four million, five hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1447 2894 4341 5788 7235 8682 14470 17364 21705 28940 32261 36175 43410 64522 72350 86820 96783 108525 129044 144700 161305 193566 217050 322610 387132 434100 483915 645220 806525 967830 1613050 1935660 2419575 3226100 4839150 9678300 46681667 93363334 140045001 186726668 233408335 280090002 466816670 560180004 700225005 933633340 1167041675 1400450010 2334083350 2800900020 3501125025 4668166700 7002250050 14004500100