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130410341444412 = 2232131241114741677
BaseRepresentation
bin11101101001101110000110…
…000100111010101100111100
3122002202002212220211110120100
4131221232012010322230330
5114043120334402210122
61141205403411121100
736316556555346261
oct3551560604725474
9562662786743510
10130410341444412
1138609795a558a7
12127624935a3190
13579c84755c8b3
14242bc739a5268
151012413ce8aac
hex769b8613ab3c

130410341444412 has 72 divisors (see below), whose sum is σ = 333543042744912. Its totient is φ = 42959283494400.

The previous prime is 130410341444387. The next prime is 130410341444417. The reversal of 130410341444412 is 214444143014031.

130410341444412 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 0 + 34 + 144 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130410341444417) 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, 56234283 + ... + 58507394.

It is an arithmetic number, because the mean of its divisors is an integer number (4632542260346).

Almost surely, 2130410341444412 is an apocalyptic number.

130410341444412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130410341444412 is an abundant number, since it is smaller than the sum of its proper divisors (203132701300500).

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

130410341444412 is a wasteful number, since it uses less digits than its factorization.

130410341444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114742059 (or 114742054 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 130410341444412 its reverse (214444143014031), we get a palindrome (344854484458443).

The spelling of 130410341444412 in words is "one hundred thirty trillion, four hundred ten billion, three hundred forty-one million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 241 262 393 482 524 723 786 964 1179 1446 1572 2169 2358 2892 4338 4716 8676 31571 63142 94713 126284 189426 284139 378852 568278 1136556 114741677 229483354 344225031 458966708 688450062 1032675093 1376900124 2065350186 4130700372 15031159687 27652744157 30062319374 45093479061 55305488314 60124638748 82958232471 90186958122 110610976628 135280437183 165916464942 180373916244 248874697413 270560874366 331832929884 497749394826 541121748732 995498789652 3622509484567 7245018969134 10867528453701 14490037938268 21735056907402 32602585361103 43470113814804 65205170722206 130410341444412