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242440226505 = 3256478326987
BaseRepresentation
bin1110000111001010010…
…0000100011011001001
3212011210002001120110100
43201302210010123021
512433004144222010
6303213035240013
723341615631541
oct3416244043311
9764702046410
10242440226505
1193900207564
123aba08a9009
1319b28b03039
14ba3c7c0321
15648e2cb2c0
hex38729046c9

242440226505 has 24 divisors (see below), whose sum is σ = 420879281472. Its totient is φ = 129101590944.

The previous prime is 242440226503. The next prime is 242440226507. The reversal of 242440226505 is 505622044242.

242440226505 is a `hidden beast` number, since 2 + 424 + 4 + 0 + 226 + 5 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (242440226503) and next prime (242440226507).

It is not a de Polignac number, because 242440226505 - 21 = 242440226503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242440226505.

It is not an unprimeable number, because it can be changed into a prime (242440226503) 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, 4134379 + ... + 4192608.

It is an arithmetic number, because the mean of its divisors is an integer number (17536636728).

Almost surely, 2242440226505 is an apocalyptic number.

It is an amenable number.

242440226505 is a deficient number, since it is larger than the sum of its proper divisors (178439054967).

242440226505 is a wasteful number, since it uses less digits than its factorization.

242440226505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8327645 (or 8327642 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 242440226505 in words is "two hundred forty-two billion, four hundred forty million, two hundred twenty-six thousand, five hundred five".

Divisors: 1 3 5 9 15 45 647 1941 3235 5823 9705 29115 8326987 24980961 41634935 74942883 124904805 374714415 5387560589 16162681767 26937802945 48488045301 80813408835 242440226505