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444013401304134 = 23322940335842907
BaseRepresentation
bin110010011110100111110110…
…1000011110110110001000110
32011020010021012100210121122000
41210331033231003312301012
5431144203421213213014
64212200535101450130
7162344624001142644
oct14475175503666106
92136107170717560
10444013401304134
111195270316a34a2
1241970931870946
131609a39018c9ac
147b90512c12194
15364ec1a5c7509
hex193d3ed0f6c46

444013401304134 has 32 divisors (see below), whose sum is σ = 986700776019840. Its totient is φ = 148003817799816.

The previous prime is 444013401304117. The next prime is 444013401304157. The reversal of 444013401304134 is 431403104310444.

444013401304134 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 1 + 340 + 1 + 304 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5533692 + ... + 30309215.

It is an arithmetic number, because the mean of its divisors is an integer number (30834399250620).

Almost surely, 2444013401304134 is an apocalyptic number.

444013401304134 is an abundant number, since it is smaller than the sum of its proper divisors (542687374715706).

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

444013401304134 is a wasteful number, since it uses less digits than its factorization.

444013401304134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36072321 (or 36072315 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444013401304134 its reverse (431403104310444), we get a palindrome (875416505614578).

The spelling of 444013401304134 in words is "four hundred forty-four trillion, thirteen billion, four hundred one million, three hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 229403 458806 688209 1376418 2064627 4129254 6193881 12387762 35842907 71685814 107528721 215057442 322586163 645172326 967758489 1935516978 8222470394521 16444940789042 24667411183563 49334822367126 74002233550689 148004467101378 222006700652067 444013401304134