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420220402020456 = 233227148751871531
BaseRepresentation
bin101111110001100000010111…
…1110010100011000001101000
32001002212200022100000022221020
41133203000233302203001220
5420034342340404123311
64045422330533212440
7154340631205143402
oct13743005762430150
92032780270008836
10420220402020456
111119935208a9864
123b169642491120
13150627c98c66bb
1475aaac13dbb72
15338ad6c616c06
hex17e302fca3068

420220402020456 has 64 divisors (see below), whose sum is σ = 1055888605946880. Its totient is φ = 139362617192640.

The previous prime is 420220402020371. The next prime is 420220402020521. The reversal of 420220402020456 is 654020204022024.

It is a happy number.

It is a super-2 number, since 2×4202204020204562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17834590 + ... + 34036941.

It is an arithmetic number, because the mean of its divisors is an integer number (16498259467920).

Almost surely, 2420220402020456 is an apocalyptic number.

It is an amenable number.

420220402020456 is an abundant number, since it is smaller than the sum of its proper divisors (635668203926424).

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

420220402020456 is a wasteful number, since it uses less digits than its factorization.

420220402020456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51873254 (or 51873250 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 420220402020456 in words is "four hundred twenty trillion, two hundred twenty billion, four hundred two million, twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 227 454 681 908 1362 1487 1816 2724 2974 4461 5448 5948 8922 11896 17844 35688 337549 675098 1012647 1350196 2025294 2700392 4050588 8101176 51871531 103743062 155614593 207486124 311229186 414972248 622458372 1244916744 11774837537 23549675074 35324512611 47099350148 70649025222 77132966597 94198700296 141298050444 154265933194 231398899791 282596100888 308531866388 462797799582 617063732776 925595599164 1851191198328 17509183417519 35018366835038 52527550252557 70036733670076 105055100505114 140073467340152 210110201010228 420220402020456