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42022555522024 = 2371168218434289
BaseRepresentation
bin10011000111000001000110…
…11111101001001111101000
312111210022120010222002201011
421203200203133221033220
521001444143203201044
6225212521232233304
711565013046241160
oct1143404337511750
9174708503862634
1042022555522024
1112431736080450
12486830499b834
131a5a92caa586c
14a53c8c7d55a0
154cd182eac134
hex2638237e93e8

42022555522024 has 32 divisors (see below), whose sum is σ = 98234545377600. Its totient is φ = 16372424229120.

The previous prime is 42022555521943. The next prime is 42022555522037.

42022555522024 is nontrivially palindromic in base 10.

42022555522024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34109216529 + ... + 34109217760.

It is an arithmetic number, because the mean of its divisors is an integer number (3069829543050).

Almost surely, 242022555522024 is an apocalyptic number.

42022555522024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42022555522024 is an abundant number, since it is smaller than the sum of its proper divisors (56211989855576).

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

42022555522024 is a wasteful number, since it uses less digits than its factorization.

42022555522024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68218434313 (or 68218434309 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

It can be divided in two parts, 4202255 and 5522024, that added together give a palindrome (9724279).

The spelling of 42022555522024 in words is "forty-two trillion, twenty-two billion, five hundred fifty-five million, five hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 68218434289 136436868578 272873737156 477529040023 545747474312 750402777179 955058080046 1500805554358 1910116160092 3001611108716 3820232320184 5252819440253 6003222217432 10505638880506 21011277761012 42022555522024