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42414241424 = 24191217114643
BaseRepresentation
bin100111100000000101…
…011111011010010000
311001110220212201010112
4213200011133122100
51143331021211144
631252420220452
73031031050352
oct474005373220
9131426781115
1042414241424
1116a95808395
12827853a728
133ccc2b6499
1420a50970d2
15118392299e
hex9e015f690

42414241424 has 40 divisors (see below), whose sum is σ = 86574563040. Its totient is φ = 20074272768.

The previous prime is 42414241403. The next prime is 42414241427.

42414241424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42414241427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312647 + ... + 427289.

It is an arithmetic number, because the mean of its divisors is an integer number (2164364076).

Almost surely, 242414241424 is an apocalyptic number.

It is an amenable number.

42414241424 is an abundant number, since it is smaller than the sum of its proper divisors (44160321616).

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

42414241424 is a wasteful number, since it uses less digits than its factorization.

42414241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115887 (or 115881 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 42414241424 in words is "forty-two billion, four hundred fourteen million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 1217 2434 4868 9736 19472 23123 46246 92492 114643 184984 229286 369968 458572 917144 1834288 2178217 4356434 8712868 17425736 34851472 139520531 279041062 558082124 1116164248 2232328496 2650890089 5301780178 10603560356 21207120712 42414241424