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42231013224 = 2333898535303
BaseRepresentation
bin100111010101001010…
…100001111101101000
311001000011002202021220
4213111022201331220
51142442114410344
631222313102040
73023344455351
oct472512417550
9131004082256
1042231013224
1116a01340324
1282270b7920
133ca035212a
1420889dcd28
1511727ccc19
hex9d52a1f68

42231013224 has 64 divisors (see below), whose sum is σ = 105993014400. Its totient is φ = 14021711616.

The previous prime is 42231013217. The next prime is 42231013261.

It is a happy number.

42231013224 is nontrivially palindromic in base 10.

42231013224 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 = 42231013194 and 42231013203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960957 + ... + 7966259.

It is an arithmetic number, because the mean of its divisors is an integer number (1656140850).

Almost surely, 242231013224 is an apocalyptic number.

It is an amenable number.

42231013224 is an abundant number, since it is smaller than the sum of its proper divisors (63762001176).

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

42231013224 is a wasteful number, since it uses less digits than its factorization.

42231013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 422310 and 13224, that added together give a palindrome (435534).

The spelling of 42231013224 in words is "forty-two billion, two hundred thirty-one million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 389 778 853 1167 1556 1706 2334 2559 3112 3412 4668 5118 5303 6824 9336 10236 10606 15909 20472 21212 31818 42424 63636 127272 331817 663634 995451 1327268 1990902 2062867 2654536 3981804 4125734 4523459 6188601 7963608 8251468 9046918 12377202 13570377 16502936 18093836 24754404 27140754 36187672 49508808 54281508 108563016 1759625551 3519251102 5278876653 7038502204 10557753306 14077004408 21115506612 42231013224