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3344000413494 = 2313291609918793
BaseRepresentation
bin110000101010010101111…
…101001110111100110110
3102211200110010201220100110
4300222111331032330312
5414242003101212434
611040113530123450
7463411306345356
oct60522575167466
912750403656313
103344000413494
11107a201067974
1246010ab80586
131b3451448a30
14b7bc9a26b66
155beb9be24e9
hex30a95f4ef36

3344000413494 has 64 divisors (see below), whose sum is σ = 7455462033600. Its totient is φ = 992824584192.

The previous prime is 3344000413493. The next prime is 3344000413529. The reversal of 3344000413494 is 4943140004433.

It is a super-2 number, since 2×33440004134942 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344000413493) 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, 3180162 + ... + 4098954.

It is an arithmetic number, because the mean of its divisors is an integer number (116491594275).

Almost surely, 23344000413494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344000413494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727731016800).

3344000413494 is an abundant number, since it is smaller than the sum of its proper divisors (4111461620106).

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

3344000413494 is a wasteful number, since it uses less digits than its factorization.

3344000413494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920449.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 3344000413494 in words is "three trillion, three hundred forty-four billion, four hundred thirteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 1609 2262 3218 4827 9654 20917 41834 46661 62751 93322 125502 139983 279966 606593 918793 1213186 1819779 1837586 2756379 3639558 5512758 11944309 23888618 26644997 35832927 53289994 71665854 79934991 159869982 346384961 692769922 1039154883 1478337937 2078309766 2956675874 4435013811 8870027622 19218393181 38436786362 42871800173 57655179543 85743600346 115310359086 128615400519 257230801038 557333402249 1114666804498 1672000206747 3344000413494