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420445134203112 = 233219734210177183
BaseRepresentation
bin101111110011001001000001…
…0110111110010100011101000
32001010200011101022021001220200
41133212102002313302203220
5420102033113323444422
64050113454515552200
7154363105242161244
oct13746220267624350
92033604338231820
10420445134203112
11111a6a864303937
123b1a51008bb660
131507aa62b0b885
1475b792006d424
153391b21eaa2ac
hex17e6482df28e8

420445134203112 has 96 divisors (see below), whose sum is σ = 1215057135302400. Its totient is φ = 130953351068928.

The previous prime is 420445134203027. The next prime is 420445134203117. The reversal of 420445134203112 is 211302431544024.

420445134203112 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 4 + 513 + 4 + 20 + 3 + 112 = 666.

It is a super-2 number, since 2×4204451342031122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420445134203117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104988728 + ... + 2105188455.

It is an arithmetic number, because the mean of its divisors is an integer number (12656845159400).

Almost surely, 2420445134203112 is an apocalyptic number.

It is an amenable number.

420445134203112 is an abundant number, since it is smaller than the sum of its proper divisors (794612001099288).

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

420445134203112 is a wasteful number, since it uses less digits than its factorization.

420445134203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210177287 (or 4210177280 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 420445134203112 its reverse (211302431544024), we get a palindrome (631747565747136).

The spelling of 420445134203112 in words is "four hundred twenty trillion, four hundred forty-five billion, one hundred thirty-four million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1314 1368 1387 1752 2628 2774 4161 5256 5548 8322 11096 12483 16644 24966 33288 49932 99864 4210177183 8420354366 12630531549 16840708732 25261063098 33681417464 37891594647 50522126196 75783189294 79993366477 101044252392 151566378588 159986732954 239980099431 303132757176 307342934359 319973465908 479960198862 614685868718 639946931816 719940298293 922028803077 959920397724 1229371737436 1439880596586 1844057606154 1919840795448 2458743474872 2766086409231 2879761193172 3688115212308 5532172818462 5759522386344 5839515752821 7376230424616 11064345636924 11679031505642 17518547258463 22128691273848 23358063011284 35037094516926 46716126022568 52555641775389 70074189033852 105111283550778 140148378067704 210222567101556 420445134203112