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114402213004014 = 232131393517254289
BaseRepresentation
bin11010000000110001010111…
…010001001000001011101110
3120000001202002220222002211200
4122000301113101020023232
5104443331213012112024
61043151352350230330
733045200325613515
oct3200612721101356
9500052086862750
10114402213004014
11334a77848658a1
12109b7ab97b53a6
134bab10c040850
14203714d30767c
15d35ce65012c9
hex680c574482ee

114402213004014 has 48 divisors (see below), whose sum is σ = 268858917927600. Its totient is φ = 34947438605568.

The previous prime is 114402213003901. The next prime is 114402213004019. The reversal of 114402213004014 is 410400312204411.

114402213004014 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 221 + 30 + 0 + 401 + 4 = 666.

It is a super-2 number, since 2×1144022130040142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114402213004019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1758594619 + ... + 1758659670.

It is an arithmetic number, because the mean of its divisors is an integer number (5601227456825).

Almost surely, 2114402213004014 is an apocalyptic number.

114402213004014 is an abundant number, since it is smaller than the sum of its proper divisors (154456704923586).

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

114402213004014 is a wasteful number, since it uses less digits than its factorization.

114402213004014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517254449 (or 3517254446 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114402213004014 its reverse (410400312204411), we get a palindrome (524802525208425).

The spelling of 114402213004014 in words is "one hundred fourteen trillion, four hundred two billion, two hundred thirteen million, four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 3614 5421 10842 16263 32526 3517254289 7034508578 10551762867 21103525734 31655288601 45724305757 63310577202 91448611514 137172917271 274345834542 411518751813 488898346171 823037503626 977796692342 1466695038513 2933390077026 4400085115539 6355678500223 8800170231078 12711357000446 19067035500669 38134071001338 57201106502007 114402213004014