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42405241014 = 2341715397691
BaseRepresentation
bin100111011111100011…
…001010000010110110
311001110021221102220000
4213133203022002312
51143321220203024
631251455252130
73030561413163
oct473743120266
9131407842800
1042405241014
1116a90720234
12827551a046
133cca4848b6
1420a3bd306a
151182c45cc9
hex9df8ca0b6

42405241014 has 40 divisors (see below), whose sum is σ = 100608519528. Its totient is φ = 13303604160.

The previous prime is 42405240989. The next prime is 42405241051. The reversal of 42405241014 is 41014250424.

42405241014 is a `hidden beast` number, since 4 + 2 + 405 + 241 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7696092 + ... + 7701599.

Almost surely, 242405241014 is an apocalyptic number.

42405241014 is an abundant number, since it is smaller than the sum of its proper divisors (58203278514).

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

42405241014 is a wasteful number, since it uses less digits than its factorization.

42405241014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397722 (or 15397713 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42405241014 its reverse (41014250424), we get a palindrome (83419491438).

The spelling of 42405241014 in words is "forty-two billion, four hundred five million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 15397691 30795382 46193073 92386146 138579219 261760747 277158438 415737657 523521494 785282241 831475314 1247212971 1570564482 2355846723 2494425942 4711693446 7067540169 14135080338 21202620507 42405241014