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42022314242200 = 2352607934563509
BaseRepresentation
bin10011000111000000101010…
…00111001111000010011000
312111210021221022221211000101
421203200111013033002120
521001443144421222300
6225212441252545144
711565004056345355
oct1143402507170230
9174707838854011
1042022314242200
1112431621963336
1248682580221b4
131a5a8c1ac7336
14a53c6874962c
154cd16bbebb6a
hex2638151cf098

42022314242200 has 48 divisors (see below), whose sum is σ = 97717955472000. Its totient is φ = 16806160129920.

The previous prime is 42022314242179. The next prime is 42022314242219. The reversal of 42022314242200 is 224241322024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16065955 + ... + 18497554.

It is an arithmetic number, because the mean of its divisors is an integer number (2035790739000).

Almost surely, 242022314242200 is an apocalyptic number.

42022314242200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022314242200 is an abundant number, since it is smaller than the sum of its proper divisors (55695641229800).

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

42022314242200 is a wasteful number, since it uses less digits than its factorization.

42022314242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569604 (or 34569595 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42022314242200 its reverse (224241322024), we get a palindrome (42246555564224).

The spelling of 42022314242200 in words is "forty-two trillion, twenty-two billion, three hundred fourteen million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6079 12158 24316 30395 48632 60790 121580 151975 243160 303950 607900 1215800 34563509 69127018 138254036 172817545 276508072 345635090 691270180 864087725 1382540360 1728175450 3456350900 6912701800 210111571211 420223142422 840446284844 1050557856055 1680892569688 2101115712110 4202231424220 5252789280275 8404462848440 10505578560550 21011157121100 42022314242200