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42244400234120 = 2357150872857979
BaseRepresentation
bin10011001101011110010100…
…11110000011111010001000
312112120112011212221010201112
421212233022132003322020
521014113012424442440
6225502450510305452
711620025422211360
oct1146571236037210
9175515155833645
1042244400234120
1112507827694117
1248a32b81b8288
131a75825a15c86
14a608d5b939a0
154d3d190d8965
hex266bca783e88

42244400234120 has 32 divisors (see below), whose sum is σ = 108628457745600. Its totient is φ = 14483794365888.

The previous prime is 42244400234117. The next prime is 42244400234131. The reversal of 42244400234120 is 2143200444224.

42244400234120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422444002341202 (a number of 28 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 7 ways as a sum of consecutive naturals, for example, 75436428710 + ... + 75436429269.

It is an arithmetic number, because the mean of its divisors is an integer number (3394639304550).

Almost surely, 242244400234120 is an apocalyptic number.

42244400234120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42244400234120 is an abundant number, since it is smaller than the sum of its proper divisors (66384057511480).

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

42244400234120 is a wasteful number, since it uses less digits than its factorization.

42244400234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150872857997 (or 150872857993 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42244400234120 its reverse (2143200444224), we get a palindrome (44387600678344).

The spelling of 42244400234120 in words is "forty-two trillion, two hundred forty-four billion, four hundred million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 150872857979 301745715958 603491431916 754364289895 1056110005853 1206982863832 1508728579790 2112220011706 3017457159580 4224440023412 5280550029265 6034914319160 8448880046824 10561100058530 21122200117060 42244400234120