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420441434322112 = 2678311307052343
BaseRepresentation
bin101111110011000111010011…
…0010101110111010011000000
32001010122210211110021122100001
41133212032212111313103000
5420102003024141301422
64050112043430405344
7154362614454541210
oct13746164625672300
92033583743248301
10420441434322112
11111a69235875545
123b1a4449800854
131507a5c342a188
1475b768c920240
1533919a7269227
hex17e63a65774c0

420441434322112 has 56 divisors (see below), whose sum is σ = 964989075246336. Its totient is φ = 178018232072448.

The previous prime is 420441434322109. The next prime is 420441434322163. The reversal of 420441434322112 is 211223434144024.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5653488988 + ... + 5653563355.

It is an arithmetic number, because the mean of its divisors is an integer number (17231947772256).

Almost surely, 2420441434322112 is an apocalyptic number.

It is an amenable number.

420441434322112 is an abundant number, since it is smaller than the sum of its proper divisors (544547640924224).

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

420441434322112 is a wasteful number, since it uses less digits than its factorization.

420441434322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307052445 (or 11307052435 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 420441434322112 its reverse (211223434144024), we get a palindrome (631664868466136).

The spelling of 420441434322112 in words is "four hundred twenty trillion, four hundred forty-one billion, four hundred thirty-four million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 11307052343 22614104686 45228209372 79149366401 90456418744 158298732802 180912837488 316597465604 361825674976 633194931208 723651349952 938485344469 1266389862416 1876970688938 2532779724832 3753941377876 5065559449664 6569397411283 7507882755752 13138794822566 15015765511504 26277589645132 30031531023008 52555179290264 60063062046016 105110358580528 210220717161056 420441434322112