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422320014013320 = 233252753894259833
BaseRepresentation
bin110000000000110010000101…
…0011010101011001110001000
32001101022101202220101201102100
41200001210022122223032020
5420323242342041411240
64054111045221033400
7154645420433465013
oct14001441232531610
92041271686351370
10422320014013320
11112622a04061195
123b448546255860
13151857b6467887
14764057d58a37a
1533c57a5738e30
hex180190a6ab388

422320014013320 has 96 divisors (see below), whose sum is σ = 1372545351754200. Its totient is φ = 112618235022336.

The previous prime is 422320014013253. The next prime is 422320014013321. The reversal of 422320014013320 is 23310410023224.

422320014013320 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 200 + 1 + 401 + 33 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 398102336060004 + 24217677953316 = 19952502^2 + 4921146^2 .

It is not an unprimeable number, because it can be changed into a prime (422320014013321) 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, 97010124 + ... + 101269956.

Almost surely, 2422320014013320 is an apocalyptic number.

422320014013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422320014013320 is an abundant number, since it is smaller than the sum of its proper divisors (950225337740880).

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

422320014013320 is a wasteful number, since it uses less digits than its factorization.

422320014013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535239 (or 4535232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 422320014013320 its reverse (23310410023224), we get a palindrome (445630424036544).

The spelling of 422320014013320 in words is "four hundred twenty-two trillion, three hundred twenty billion, fourteen million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 275389 550778 826167 1101556 1376945 1652334 2203112 2478501 2753890 3304668 4130835 4259833 4957002 5507780 6609336 8261670 8519666 9914004 11015560 12392505 12779499 16523340 17039332 19828008 21299165 24785010 25558998 33046680 34078664 38338497 42598330 49570020 51117996 63897495 76676994 85196660 99140040 102235992 127794990 153353988 170393320 191692485 255589980 306707976 383384970 511179960 766769940 1533539880 1173111150037 2346222300074 3519333450111 4692444600148 5865555750185 7038666900222 9384889200296 10558000350333 11731111500370 14077333800444 17596667250555 21116000700666 23462223000740 28154667600888 35193334501110 42232001401332 46924446001480 52790001751665 70386669002220 84464002802664 105580003503330 140773338004440 211160007006660 422320014013320