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242312412032240 = 24511275355013673
BaseRepresentation
bin110111000110000111000001…
…001111100110110011110000
31011202221211200121202111220212
4313012013001033212303300
5223230021304440012430
62215204441344523252
7102016331313343004
oct6706070117466360
91152854617674825
10242312412032240
117023213157aa90
1223215928620528
13a528c68546284
1443b9daa326704
151d0317de56b95
hexdc61c13e6cf0

242312412032240 has 40 divisors (see below), whose sum is σ = 614592390520368. Its totient is φ = 88113604375040.

The previous prime is 242312412032179. The next prime is 242312412032269. The reversal of 242312412032240 is 42230214213242.

242312412032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 242312412032197 and 242312412032206.

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, 137677505957 + ... + 137677507716.

Almost surely, 2242312412032240 is an apocalyptic number.

242312412032240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242312412032240 is an abundant number, since it is smaller than the sum of its proper divisors (372279978488128).

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

242312412032240 is a wasteful number, since it uses less digits than its factorization.

242312412032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275355013697 (or 275355013691 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 242312412032240 its reverse (42230214213242), we get a palindrome (284542626245482).

The spelling of 242312412032240 in words is "two hundred forty-two trillion, three hundred twelve billion, four hundred twelve million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 275355013673 550710027346 1101420054692 1376775068365 2202840109384 2753550136730 3028905150403 4405680218768 5507100273460 6057810300806 11014200546920 12115620601612 15144525752015 22028401093840 24231241203224 30289051504030 48462482406448 60578103008060 121156206016120 242312412032240