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42012321313224 = 2335355733268487
BaseRepresentation
bin10011000110101110000010…
…11111001111000111001000
312111202100010220111102111210
421203113001133033013020
521001312213224010344
6225204105521453120
711564201326013553
oct1143270137170710
9174670126442453
1042012321313224
1112428364138949
1248663294a11a0
131a5998b714502
14a5359b50769a
154ccc84788db9
hex2635c17cf1c8

42012321313224 has 32 divisors (see below), whose sum is σ = 105031031526720. Its totient is φ = 14004076671936.

The previous prime is 42012321313211. The next prime is 42012321313229. The reversal of 42012321313224 is 42231312321024.

It is a happy number.

42012321313224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42012321313191 and 42012321313200.

It is not an unprimeable number, because it can be changed into a prime (42012321313229) by changing a digit.

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, 11219509 + ... + 14487995.

It is an arithmetic number, because the mean of its divisors is an integer number (3282219735210).

Almost surely, 242012321313224 is an apocalyptic number.

It is an amenable number.

42012321313224 is an abundant number, since it is smaller than the sum of its proper divisors (63018710213496).

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

42012321313224 is a wasteful number, since it uses less digits than its factorization.

42012321313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804069 (or 3804065 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 42012321313224 its reverse (42231312321024), we get a palindrome (84243633634248).

The spelling of 42012321313224 in words is "forty-two trillion, twelve billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 535573 1071146 1606719 2142292 3213438 3268487 4284584 6426876 6536974 9805461 12853752 13073948 19610922 26147896 39221844 78443688 1750513388051 3501026776102 5251540164153 7002053552204 10503080328306 14004107104408 21006160656612 42012321313224