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14001220132400 = 245252336688907
BaseRepresentation
bin1100101110111110100111…
…0000001001111000110000
31211120111121002211002202102
43023233221300021320300
53313343444323214100
645440023254435532
72643361200325634
oct313575160117060
954514532732672
1014001220132400
11450897a832176
1216a1644362ba8
137a7403976b97
1436593c51cdc4
1519430d0b3cd5
hexcbbe9c09e30

14001220132400 has 60 divisors (see below), whose sum is σ = 33644364437592. Its totient is φ = 5599416990720.

The previous prime is 14001220132399. The next prime is 14001220132441. The reversal of 14001220132400 is 423102210041.

14001220132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1251254 + ... + 5437653.

Almost surely, 214001220132400 is an apocalyptic number.

14001220132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001220132400 is an abundant number, since it is smaller than the sum of its proper divisors (19643144305192).

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

14001220132400 is a wasteful number, since it uses less digits than its factorization.

14001220132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694158 (or 6694147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14001220132400 its reverse (423102210041), we get a palindrome (14424322342441).

The spelling of 14001220132400 in words is "fourteen trillion, one billion, two hundred twenty million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5233 10466 20932 26165 41864 52330 83728 104660 130825 209320 261650 418640 523300 1046600 2093200 6688907 13377814 26755628 33444535 53511256 66889070 107022512 133778140 167222675 267556280 334445350 535112560 668890700 1337781400 2675562800 35003050331 70006100662 140012201324 175015251655 280024402648 350030503310 560048805296 700061006620 875076258275 1400122013240 1750152516550 2800244026480 3500305033100 7000610066200 14001220132400