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442441131212300 = 225211402219210193
BaseRepresentation
bin110010010011001011101101…
…0011101011011111000001100
32011000112221220011020102110112
41210212113122131123320030
5430442423414042243200
64204554352201055152
7162123213453650123
oct14446273235337014
92130487804212415
10442441131212300
11118a80259175490
124175807b7874b8
1315cb5034228b4c
147b3839d288aba
153623d986a7535
hex19265da75be0c

442441131212300 has 36 divisors (see below), whose sum is σ = 1047378823345176. Its totient is φ = 160887684076800.

The previous prime is 442441131212261. The next prime is 442441131212317. The reversal of 442441131212300 is 3212131144244.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201109603997 + ... + 201109606196.

Almost surely, 2442441131212300 is an apocalyptic number.

It is an amenable number.

442441131212300 is an abundant number, since it is smaller than the sum of its proper divisors (604937692132876).

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

442441131212300 is a wasteful number, since it uses less digits than its factorization.

442441131212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402219210218 (or 402219210211 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 442441131212300 its reverse (3212131144244), we get a palindrome (445653262356544).

The spelling of 442441131212300 in words is "four hundred forty-two trillion, four hundred forty-one billion, one hundred thirty-one million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 402219210193 804438420386 1608876840772 2011096050965 4022192101930 4424411312123 8044384203860 8848822624246 10055480254825 17697645248492 20110960509650 22122056560615 40221921019300 44244113121230 88488226242460 110610282803075 221220565606150 442441131212300