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444626343626444 = 227327143971104079
BaseRepresentation
bin110010100011000101010001…
…1010001010000011011001100
32011022021212022100220202122222
41211012022203101100123030
5431234224222432021234
64213350304502554512
7162440123200003040
oct14506124321203314
92138255270822588
10444626343626444
11119742a78657331
1241a4b692a38a38
1316113113275c85
147bb205bcca020
153660b417a242e
hex19462a34506cc

444626343626444 has 48 divisors (see below), whose sum is σ = 889727655290880. Its totient is φ = 190452395085120.

The previous prime is 444626343626431. The next prime is 444626343626561.

444626343626444 is nontrivially palindromic in base 10.

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, 402160397 + ... + 403264475.

It is an arithmetic number, because the mean of its divisors is an integer number (18535992818560).

Almost surely, 2444626343626444 is an apocalyptic number.

It is an amenable number.

444626343626444 is an abundant number, since it is smaller than the sum of its proper divisors (445101311664436).

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

444626343626444 is a wasteful number, since it uses less digits than its factorization.

444626343626444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111758 (or 1111756 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 62.

The spelling of 444626343626444 in words is "four hundred forty-four trillion, six hundred twenty-six billion, three hundred forty-three million, six hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 3271 4397 6542 8794 13084 17588 22897 30779 45794 61558 91588 123116 1104079 2208158 4416316 7728553 14382587 15457106 28765174 30914212 57530348 100678109 201356218 402712436 3611442409 4854635363 7222884818 9709270726 14445769636 19418541452 25280096863 33982447541 50560193726 67964895082 101120387452 135929790164 15879512272373 31759024544746 63518049089492 111156585906611 222313171813222 444626343626444