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414442302444 = 223267317105923
BaseRepresentation
bin1100000011111101010…
…11111010101111101100
31110121202012022100110100
412001332223322233230
523242234212134234
6514220412511100
741641160306022
oct6017653725754
91417665270410
10414442302444
1114a844969a45
12683a3a7b490
133010a780331
14160b82d2712
15aba9799399
hex607eafabec

414442302444 has 36 divisors (see below), whose sum is σ = 1049174742616. Its totient is φ = 137942155008.

The previous prime is 414442302427. The next prime is 414442302479. The reversal of 414442302444 is 444203244414.

It is a happy number.

414442302444 is a `hidden beast` number, since 4 + 144 + 42 + 30 + 2 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 414442302399 and 414442302408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8528734 + ... + 8577189.

Almost surely, 2414442302444 is an apocalyptic number.

It is an amenable number.

414442302444 is an abundant number, since it is smaller than the sum of its proper divisors (634732440172).

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

414442302444 is a wasteful number, since it uses less digits than its factorization.

414442302444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106606 (or 17106601 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 414442302444 its reverse (444203244414), we get a palindrome (858645546858).

The spelling of 414442302444 in words is "four hundred fourteen billion, four hundred forty-two million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 673 1346 2019 2692 4038 6057 8076 12114 24228 17105923 34211846 51317769 68423692 102635538 153953307 205271076 307906614 615813228 11512286179 23024572358 34536858537 46049144716 69073717074 103610575611 138147434148 207221151222 414442302444