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314715007242 = 232179148965599
BaseRepresentation
bin1001001010001100111…
…10011110100100001010
31010002100000210211212100
410211012132132210022
520124014020212432
6400324510454230
731510634265156
oct4450636364412
91102300724770
10314715007242
11111519465009
1250bb1504376
13238a660289c
141133757c066
1582be47b07c
hex494679e90a

314715007242 has 48 divisors (see below), whose sum is σ = 686162880000. Its totient is φ = 104247292032.

The previous prime is 314715007219. The next prime is 314715007261. The reversal of 314715007242 is 242700517413.

314715007242 is a `hidden beast` number, since 3 + 1 + 47 + 1 + 500 + 72 + 42 = 666.

It is a super-2 number, since 2×3147150072422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314715007197 and 314715007206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4764759 + ... + 4830357.

It is an arithmetic number, because the mean of its divisors is an integer number (14295060000).

Almost surely, 2314715007242 is an apocalyptic number.

314715007242 is an abundant number, since it is smaller than the sum of its proper divisors (371447872758).

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

314715007242 is a wasteful number, since it uses less digits than its factorization.

314715007242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67275 (or 67272 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 314715007242 in words is "three hundred fourteen billion, seven hundred fifteen million, seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 179 358 537 1074 1489 1611 2978 3222 4467 8934 13401 26802 65599 131198 196797 266531 393594 533062 590391 799593 1180782 1599186 2398779 4797558 11742221 23484442 35226663 70453326 97676911 105679989 195353822 211359978 293030733 586061466 879092199 1758184398 17484167069 34968334138 52452501207 104905002414 157357503621 314715007242