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240042222024 = 23311909250841
BaseRepresentation
bin1101111110001110100…
…0011010000111001000
3211221120221210022201120
43133203220122013020
512413101302101044
6302135053515240
723225320136043
oct3374350320710
9757527708646
10240042222024
119288a638280
123a6317a2b20
1319836065787
14b89211dc5a
15639d9eb519
hex37e3a1a1c8

240042222024 has 32 divisors (see below), whose sum is σ = 654660606240. Its totient is φ = 72740067200.

The previous prime is 240042222011. The next prime is 240042222061. The reversal of 240042222024 is 420222240042.

240042222024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 240042221985 and 240042222003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454625157 + ... + 454625684.

It is an arithmetic number, because the mean of its divisors is an integer number (20458143945).

Almost surely, 2240042222024 is an apocalyptic number.

240042222024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240042222024 is an abundant number, since it is smaller than the sum of its proper divisors (414618384216).

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

240042222024 is a wasteful number, since it uses less digits than its factorization.

240042222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909250861 (or 909250857 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 240042222024 its reverse (420222240042), we get a palindrome (660264462066).

The spelling of 240042222024 in words is "two hundred forty billion, forty-two million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 909250841 1818501682 2727752523 3637003364 5455505046 7274006728 10001759251 10911010092 20003518502 21822020184 30005277753 40007037004 60010555506 80014074008 120021111012 240042222024