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134014405512 = 23313238386269
BaseRepresentation
bin111110011001111100…
…0011000101110001000
3110210220200202011201110
41330303320120232020
54143430141434022
6141322041450320
712453000436341
oct1746370305610
9423820664643
10134014405512
1151920702439
1221b811a09a0
13c83979b100
1466b46cd0c8
1537454d200c
hex1f33e18b88

134014405512 has 96 divisors (see below), whose sum is σ = 363741926400. Its totient is φ = 41127061248.

The previous prime is 134014405507. The next prime is 134014405519. The reversal of 134014405512 is 215504410431.

It is a self number, because there is not a number n which added to its sum of digits gives 134014405512.

It is not an unprimeable number, because it can be changed into a prime (134014405519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510314 + ... + 1596582.

It is an arithmetic number, because the mean of its divisors is an integer number (3788978400).

Almost surely, 2134014405512 is an apocalyptic number.

134014405512 is a gapful number since it is divisible by the number (12) 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 134014405512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181870963200).

134014405512 is an abundant number, since it is smaller than the sum of its proper divisors (229727520888).

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

134014405512 is a wasteful number, since it uses less digits than its factorization.

134014405512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86687 (or 86670 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 134014405512 its reverse (215504410431), we get a palindrome (349518815943).

The spelling of 134014405512 in words is "one hundred thirty-four billion, fourteen million, four hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 383 507 676 766 1014 1149 1352 1532 2028 2298 3064 4056 4596 4979 9192 9958 14937 19916 29874 39832 59748 64727 86269 119496 129454 172538 194181 258807 258908 345076 388362 517614 517816 690152 776724 1035228 1121497 1553448 2070456 2242994 3364491 4485988 6728982 8971976 13457964 14579461 26915928 29158922 33041027 43738383 58317844 66082054 87476766 99123081 116635688 132164108 174953532 198246162 264328216 349907064 396492324 429533351 792984648 859066702 1288600053 1718133404 2577200106 3436266808 5154400212 5583933563 10308800424 11167867126 16751800689 22335734252 33503601378 44671468504 67007202756 134014405512