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442414431444 = 223194345125911
BaseRepresentation
bin1100111000000011111…
…01000111110011010100
31120021221121210201210010
412130001331013303110
524222031043301234
6535124204400220
743651304422356
oct6340175076324
91507847721703
10442414431444
1116069945a527
12718ab846070
133294799015b
14175ad2a90d6
15b7953576e9
hex6701f47cd4

442414431444 has 48 divisors (see below), whose sum is σ = 1111902471680. Its totient is φ = 136460751840.

The previous prime is 442414431443. The next prime is 442414431461. The reversal of 442414431444 is 444134414244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442414431443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22553152 + ... + 22572759.

Almost surely, 2442414431444 is an apocalyptic number.

It is an amenable number.

442414431444 is an abundant number, since it is smaller than the sum of its proper divisors (669488040236).

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

442414431444 is a wasteful number, since it uses less digits than its factorization.

442414431444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45125980 (or 45125978 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 442414431444 its reverse (444134414244), we get a palindrome (886548845688).

The spelling of 442414431444 in words is "four hundred forty-two billion, four hundred fourteen million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 9804 45125911 90251822 135377733 180503644 270755466 541510932 857392309 1714784618 1940414173 2572176927 3429569236 3880828346 5144353854 5821242519 7761656692 10288707708 11642485038 23284970076 36867869287 73735738574 110603607861 147471477148 221207215722 442414431444