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3442444013130 = 235296759057197
BaseRepresentation
bin110010000110000001101…
…001110000111001001010
3110012002112211201220200020
4302012001221300321022
5422400111131410010
611153234214121310
7503464654213443
oct62060151607112
913162484656606
103442444013130
111107a289a0381
12477203650236
131bc80c6797c5
14bc8880a22ca
155e82c491470
hex32181a70e4a

3442444013130 has 64 divisors (see below), whose sum is σ = 8674321242240. Its totient is φ = 873101585664.

The previous prime is 3442444013083. The next prime is 3442444013147. The reversal of 3442444013130 is 313104442443.

It is a super-2 number, since 2×34424440131302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3442444013091 and 3442444013100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29470309 + ... + 29586888.

It is an arithmetic number, because the mean of its divisors is an integer number (135536269410).

Almost surely, 23442444013130 is an apocalyptic number.

3442444013130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3442444013130 is an abundant number, since it is smaller than the sum of its proper divisors (5231877229110).

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

3442444013130 is a wasteful number, since it uses less digits than its factorization.

3442444013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59057303.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3442444013130 its reverse (313104442443), we get a palindrome (3755548455573).

The spelling of 3442444013130 in words is "three trillion, four hundred forty-two billion, four hundred forty-four million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 134 145 174 201 290 335 402 435 670 870 1005 1943 2010 3886 5829 9715 11658 19430 29145 58290 59057197 118114394 177171591 295285985 354343182 590571970 885857955 1712658713 1771715910 3425317426 3956832199 5137976139 7913664398 8563293565 10275952278 11870496597 17126587130 19784160995 23740993194 25689880695 39568321990 51379761390 59352482985 114748133771 118704965970 229496267542 344244401313 573740668855 688488802626 1147481337710 1721222006565 3442444013130