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441242011571320 = 235167219113014659
BaseRepresentation
bin110010001010011101010100…
…1010111000001010001111000
32010212022022202110002012000201
41210110322221113001101320
5430313302114430240240
64202235440505411544
7161640453245120341
oct14424725127012170
92125268673065021
10441242011571320
11118658760416133
12415a37a8a99bb4
1315c28c3514b94b
147ad6327a470c8
153602ab5e18d9a
hex1914ea95c1478

441242011571320 has 64 divisors (see below), whose sum is σ = 998785316390400. Its totient is φ = 175431872407680.

The previous prime is 441242011571311. The next prime is 441242011571359. The reversal of 441242011571320 is 23175110242144.

It is a self number, because there is not a number n which added to its sum of digits gives 441242011571320.

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, 144858151 + ... + 147872809.

It is an arithmetic number, because the mean of its divisors is an integer number (15606020568600).

Almost surely, 2441242011571320 is an apocalyptic number.

441242011571320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441242011571320 is an abundant number, since it is smaller than the sum of its proper divisors (557543304819080).

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

441242011571320 is a wasteful number, since it uses less digits than its factorization.

441242011571320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036748 (or 3036744 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 441242011571320 in words is "four hundred forty-one trillion, two hundred forty-two billion, eleven million, five hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6680 21911 43822 87644 109555 175288 219110 438220 876440 3014659 3659137 6029318 7318274 12058636 14636548 15073295 18295685 24117272 29273096 30146590 36591370 60293180 73182740 120586360 146365480 503448053 1006896106 2013792212 2517240265 4027584424 5034480530 10068961060 20137922120 66054193349 132108386698 264216773396 330270966745 528433546792 660541933490 1321083866980 2642167733960 11031050289283 22062100578566 44124201157132 55155251446415 88248402314264 110310502892830 220621005785660 441242011571320