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104311412134340 = 22519367911821039
BaseRepresentation
bin10111101101111011100100…
…101010101001000111000100
3111200100001222122212202020012
4113231323210222221013010
5102133014233001244330
61005504000131325352
730654152014464515
oct2755734452510704
9450301878782205
10104311412134340
1130267248836524
12b848300a50858
1346286a7197398
141ba89b0ba6a0c
15c0d5a4c86c95
hex5edee4aa91c4

104311412134340 has 96 divisors (see below), whose sum is σ = 231465494937600. Its totient is φ = 39377507944320.

The previous prime is 104311412134273. The next prime is 104311412134357. The reversal of 104311412134340 is 43431214113401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104311412134297 and 104311412134306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126637541 + ... + 127458579.

It is an arithmetic number, because the mean of its divisors is an integer number (2411098905600).

Almost surely, 2104311412134340 is an apocalyptic number.

104311412134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104311412134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115732747468800).

104311412134340 is an abundant number, since it is smaller than the sum of its proper divisors (127154082803260).

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

104311412134340 is a wasteful number, since it uses less digits than its factorization.

104311412134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822345 (or 822343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 104311412134340 its reverse (43431214113401), we get a palindrome (147742626247741).

The spelling of 104311412134340 in words is "one hundred four trillion, three hundred eleven billion, four hundred twelve million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 367 380 734 911 1468 1822 1835 3644 3670 4555 6973 7340 9110 13946 17309 18220 27892 34618 34865 69236 69730 86545 139460 173090 334337 346180 668674 821039 1337348 1642078 1671685 3284156 3343370 4105195 6352403 6686740 8210390 12704806 15599741 16420780 25409612 31199482 31762015 62398964 63524030 77998705 127048060 155997410 301321313 311994820 602642626 747966529 1205285252 1495933058 1506606565 2991866116 3013213130 3739832645 5725104947 6026426260 7479665290 11450209894 14211364051 14959330580 22900419788 28422728102 28625524735 56845456204 57251049470 71056820255 114502098940 142113640510 274503716143 284227281020 549007432286 1098014864572 1372518580715 2745037161430 5215570606717 5490074322860 10431141213434 20862282426868 26077853033585 52155706067170 104311412134340