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14004416120 = 2353181110063
BaseRepresentation
bin11010000101011101…
…00110111001111000
31100010222210001100112
431002232212321320
5212140112303440
610233351123452
71004020400342
oct150256467170
940128701315
1014004416120
115a37145122
12286a073588
1314224c6c76
1496bd06292
1556e706965
hex342ba6e78

14004416120 has 32 divisors (see below), whose sum is σ = 31520128320. Its totient is φ = 5599954560.

The previous prime is 14004416119. The next prime is 14004416137. The reversal of 14004416120 is 2161440041.

It is a happy number.

It is a super-2 number, since 2×140044161202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72209 + ... + 182271.

It is an arithmetic number, because the mean of its divisors is an integer number (985004010).

Almost surely, 214004416120 is an apocalyptic number.

14004416120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004416120 is an abundant number, since it is smaller than the sum of its proper divisors (17515712200).

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

14004416120 is a wasteful number, since it uses less digits than its factorization.

14004416120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113255 (or 113251 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14004416120 its reverse (2161440041), we get a palindrome (16165856161).

The spelling of 14004416120 in words is "fourteen billion, four million, four hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3181 6362 12724 15905 25448 31810 63620 110063 127240 220126 440252 550315 880504 1100630 2201260 4402520 350110403 700220806 1400441612 1750552015 2800883224 3501104030 7002208060 14004416120