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230315638464 = 263444428171
BaseRepresentation
bin1101011001111111100…
…0011011111011000000
3211000111002111200110000
43112133320123323000
512233141300412324
6253445555240000
722432302424422
oct3263770337300
9730432450400
10230315638464
11897491a006a
12387782a9000
1318945bc91a2
14b20c410812
155eceb4a9c9
hex359fe1bec0

230315638464 has 70 divisors (see below), whose sum is σ = 682727719124. Its totient is φ = 76771877760.

The previous prime is 230315638459. The next prime is 230315638517. The reversal of 230315638464 is 464836513032.

230315638464 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 1 + 5 + 638 + 4 + 6 + 4 = 666.

It is a super-3 number, since 3×2303156384643 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22208902 + ... + 22219269.

Almost surely, 2230315638464 is an apocalyptic number.

230315638464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230315638464 is an abundant number, since it is smaller than the sum of its proper divisors (452412080660).

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

230315638464 is an equidigital number, since it uses as much as digits as its factorization.

230315638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44428195 (or 44428176 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 230315638464 in words is "two hundred thirty billion, three hundred fifteen million, six hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44428171 88856342 133284513 177712684 266569026 355425368 399853539 533138052 710850736 799707078 1066276104 1199560617 1421701472 1599414156 2132552208 2399121234 2843402944 3198828312 3598681851 4265104416 4798242468 6397656624 7197363702 8530208832 9596484936 12795313248 14394727404 19192969872 25590626496 28789454808 38385939744 57578909616 76771879488 115157819232 230315638464