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14014081400 = 2352116370037
BaseRepresentation
bin11010000110100110…
…11110100101111000
31100011122222002121212
431003103132211320
5212200101101100
610234334222252
71004165504114
oct150323364570
940148862555
1014014081400
115a41646860
122871354988
1314244cc377
1496d300744
155704b5635
hex3434de978

14014081400 has 48 divisors (see below), whose sum is σ = 35544812040. Its totient is φ = 5096028800.

The previous prime is 14014081397. The next prime is 14014081441. The reversal of 14014081400 is 418041041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3182819 + ... + 3187218.

Almost surely, 214014081400 is an apocalyptic number.

14014081400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014081400 is an abundant number, since it is smaller than the sum of its proper divisors (21530730640).

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

14014081400 is a wasteful number, since it uses less digits than its factorization.

14014081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370064 (or 6370055 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 14014081400 in words is "fourteen billion, fourteen million, eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 6370037 12740074 25480148 31850185 50960296 63700370 70070407 127400740 140140814 159250925 254801480 280281628 318501850 350352035 560563256 637003700 700704070 1274007400 1401408140 1751760175 2802816280 3503520350 7007040700 14014081400