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135614310104 = 237135315672243
BaseRepresentation
bin111111001001100111…
…1100010011011011000
3110222001012020202020002
41332103033202123120
54210214230410404
6142144513152132
712540435421250
oct1762317423330
9428035222202
10135614310104
1152571819439
1222348b5b648
13ca3309c610
1467c6d9a960
1537dabb2c1e
hex1f933e26d8

135614310104 has 128 divisors (see below), whose sum is σ = 319206666240. Its totient is φ = 52580316672.

The previous prime is 135614310101. The next prime is 135614310121. The reversal of 135614310104 is 401013416531.

It is a super-2 number, since 2×1356143101042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135614310101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60460007 + ... + 60462249.

It is an arithmetic number, because the mean of its divisors is an integer number (2493802080).

Almost surely, 2135614310104 is an apocalyptic number.

135614310104 is a gapful number since it is divisible by the number (14) 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 135614310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159603333120).

135614310104 is an abundant number, since it is smaller than the sum of its proper divisors (183592356136).

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

135614310104 is a wasteful number, since it uses less digits than its factorization.

135614310104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 135614310104 its reverse (401013416531), we get a palindrome (536627726635).

The spelling of 135614310104 in words is "one hundred thirty-five billion, six hundred fourteen million, three hundred ten thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 689 728 742 1378 1484 1567 2243 2756 2968 3134 4486 4823 5512 6268 8972 9646 10969 12536 15701 17944 19292 20371 21938 29159 31402 38584 40742 43876 58318 62804 81484 83051 87752 116636 118879 125608 142597 162968 166102 204113 233272 237758 285194 332204 408226 475516 570388 581357 664408 816452 832153 951032 1079663 1140776 1162714 1545427 1632904 1664306 2159326 2325428 3090854 3328612 3514781 4318652 4650856 6181708 6657224 7029562 7557641 8637304 10817989 12363416 14059124 15115282 21635978 24603467 28118248 30230564 43271956 45692153 49206934 60461128 86543912 91384306 98413868 182768612 186283393 196827736 319845071 365537224 372566786 639690142 745133572 1279380284 1303983751 1490267144 2421684109 2558760568 2607967502 4843368218 5215935004 9686736436 10431870008 16951788763 19373472872 33903577526 67807155052 135614310104