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444331231134 = 23771521285997
BaseRepresentation
bin1100111011101000011…
…01001000011110011110
31120110220012121020122020
412131310031020132132
524234442243344014
6540042320201010
744046641101560
oct6356415103636
91513805536566
10444331231134
1116149243a4aa
1272145769166
1332b91b2655b
1417711aa7330
15b8587831a9
hex677434879e

444331231134 has 64 divisors (see below), whose sum is σ = 1031899087872. Its totient is φ = 124923052800.

The previous prime is 444331231103. The next prime is 444331231153. The reversal of 444331231134 is 431132133444.

It is a super-2 number, since 2×4443312311342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444331231095 and 444331231104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410624 + ... + 1696620.

It is an arithmetic number, because the mean of its divisors is an integer number (16123423248).

Almost surely, 2444331231134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444331231134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515949543936).

444331231134 is an abundant number, since it is smaller than the sum of its proper divisors (587567856738).

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

444331231134 is a wasteful number, since it uses less digits than its factorization.

444331231134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286601.

The product of its digits is 41472, while the sum is 33.

Adding to 444331231134 its reverse (431132133444), we get a palindrome (875463364578).

The spelling of 444331231134 in words is "four hundred forty-four billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 521 994 1042 1491 1563 2982 3126 3647 7294 10941 21882 36991 73982 110973 221946 258937 285997 517874 571994 776811 857991 1553622 1715982 2001979 4003958 6005937 12011874 20305787 40611574 60917361 121834722 142140509 149004437 284281018 298008874 426421527 447013311 852843054 894026622 1043031059 2086062118 3129093177 6258186354 10579315027 21158630054 31737945081 63475890162 74055205189 148110410378 222165615567 444331231134