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42354253944760 = 2352027522376097
BaseRepresentation
bin10011010000101010111100…
…10000101101011110111000
312112222000201210001211211011
421220111132100231132320
521022413003002213020
6230025135312443304
711630664616305262
oct1150253620553670
9175860653054734
1042354253944760
111254a37a1a692a
124900655b49534
131a82cb1b12c14
14a65d57776b32
154d6ae843635a
hex26855e42d7b8

42354253944760 has 32 divisors (see below), whose sum is σ = 95344085406960. Its totient is φ = 16933343527936.

The previous prime is 42354253944749. The next prime is 42354253944809. The reversal of 42354253944760 is 6744935245324.

42354253944760 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-3 number, since 3×423542539447603 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42354253944695 and 42354253944704.

It is a congruent number.

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, 261106969 + ... + 261269128.

Almost surely, 242354253944760 is an apocalyptic number.

42354253944760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42354253944760 is an abundant number, since it is smaller than the sum of its proper divisors (52989831462200).

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

42354253944760 is a wasteful number, since it uses less digits than its factorization.

42354253944760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522378135 (or 522378131 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 58.

The spelling of 42354253944760 in words is "forty-two trillion, three hundred fifty-four billion, two hundred fifty-three million, nine hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2027 4054 8108 10135 16216 20270 40540 81080 522376097 1044752194 2089504388 2611880485 4179008776 5223760970 10447521940 20895043880 1058856348619 2117712697238 4235425394476 5294281743095 8470850788952 10588563486190 21177126972380 42354253944760