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242231454535320 = 233352959131086139
BaseRepresentation
bin110111000100111011100111…
…110011010000111010011000
31011202200002201112221120002000
4313010323213303100322120
5223222210004330112240
62215103332144441000
7102010434154102125
oct6704734763207230
91152602645846060
10242231454535320
1170200868140338
12232020b4019160
13a521435c36243
1443b60ca34574c
151d00ee18a0430
hexdc4ee7cd0e98

242231454535320 has 256 divisors, whose sum is σ = 849438187200000. Its totient is φ = 61310559776256.

The previous prime is 242231454535307. The next prime is 242231454535327. The reversal of 242231454535320 is 23535454132242.

It is a happy number.

242231454535320 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 3 + 14 + 54 + 53 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242231454535327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63695190 + ... + 67390949.

It is an arithmetic number, because the mean of its divisors is an integer number (3318117918750).

Almost surely, 2242231454535320 is an apocalyptic number.

242231454535320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242231454535320 is an abundant number, since it is smaller than the sum of its proper divisors (607206732664680).

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

242231454535320 is a wasteful number, since it uses less digits than its factorization.

242231454535320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131086247 (or 131086237 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 242231454535320 in words is "two hundred forty-two trillion, two hundred thirty-one billion, four hundred fifty-four million, five hundred thirty-five thousand, three hundred twenty".