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461132116340 = 225729711599709
BaseRepresentation
bin1101011010111011001…
…11011011000101110100
31122002021002102122101212
412231131213123011310
530023344310210330
6551501405340552
745213166213310
oct6553547330564
91562232378355
10461132116340
111686240701a5
1275454267758
133463b7b254c
1418467154b40
15bedd728295
hex6b5d9db174

461132116340 has 96 divisors (see below), whose sum is σ = 1161005529600. Its totient is φ = 150500528640.

The previous prime is 461132116339. The next prime is 461132116381. The reversal of 461132116340 is 43611231164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461132116297 and 461132116306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511595 + ... + 1088114.

It is an arithmetic number, because the mean of its divisors is an integer number (12093807600).

Almost surely, 2461132116340 is an apocalyptic number.

It is an amenable number.

461132116340 is an abundant number, since it is smaller than the sum of its proper divisors (699873413260).

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

461132116340 is a wasteful number, since it uses less digits than its factorization.

461132116340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599825 (or 1599823 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 461132116340 in words is "four hundred sixty-one billion, one hundred thirty-two million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 71 116 140 142 145 203 284 290 355 406 497 580 710 812 994 1015 1420 1988 2030 2059 2485 4060 4118 4970 8236 9940 10295 14413 20590 28826 41180 57652 72065 144130 288260 1599709 3199418 6398836 7998545 11197963 15997090 22395926 31994180 44791852 46391561 55989815 92783122 111979630 113579339 185566244 223959260 227158678 231957805 324740927 454317356 463915610 567896695 649481854 795055373 927831220 1135793390 1298963708 1590110746 1623704635 2271586780 3180221492 3247409270 3293800831 3975276865 6494818540 6587601662 7950553730 13175203324 15901107460 16469004155 23056605817 32938008310 46113211634 65876016620 92226423268 115283029085 230566058170 461132116340