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42321204024 = 23311269595939
BaseRepresentation
bin100111011010100010…
…100101001100111000
311001020102210220210220
4213122202211030320
51143133212012044
631235254140040
73025521204321
oct473242451470
9131212726726
1042321204024
1116a48241a80
128251351620
133cb5c3cb78
142096999448
15117a696019
hex9da8a5338

42321204024 has 64 divisors (see below), whose sum is σ = 115850736000. Its totient is φ = 12776910720.

The previous prime is 42321204019. The next prime is 42321204053. The reversal of 42321204024 is 42040212324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42321203985 and 42321204003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226954 + ... + 368985.

It is an arithmetic number, because the mean of its divisors is an integer number (1810167750).

Almost surely, 242321204024 is an apocalyptic number.

42321204024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42321204024 is an abundant number, since it is smaller than the sum of its proper divisors (73529531976).

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

42321204024 is a wasteful number, since it uses less digits than its factorization.

42321204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596228 (or 596224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42321204024 its reverse (42040212324), we get a palindrome (84361416348).

The spelling of 42321204024 in words is "forty-two billion, three hundred twenty-one million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 269 538 807 1076 1614 2152 2959 3228 5918 6456 8877 11836 17754 23672 35508 71016 595939 1191878 1787817 2383756 3575634 4767512 6555329 7151268 13110658 14302536 19665987 26221316 39331974 52442632 78663948 157327896 160307591 320615182 480922773 641230364 961845546 1282460728 1763383501 1923691092 3526767002 3847382184 5290150503 7053534004 10580301006 14107068008 21160602012 42321204024