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444011427342 = 23273523900217
BaseRepresentation
bin1100111011000010010…
…01001011011000001110
31120110001220211112022100
412131201021023120032
524233313411133332
6535550453455530
744036005601160
oct6354111133016
91513056745270
10444011427342
1116133896a14a
12720766415a6
1332b407b3742
14176c141a930
15b83a66167c
hex676124b60e

444011427342 has 24 divisors (see below), whose sum is σ = 1099456868016. Its totient is φ = 126860407776.

The previous prime is 444011427331. The next prime is 444011427421. The reversal of 444011427342 is 243724110444.

444011427342 is a `hidden beast` number, since 4 + 4 + 401 + 142 + 73 + 42 = 666.

It is a super-2 number, since 2×4440114273422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444011427297 and 444011427306.

It is a congruent number.

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, 1761949983 + ... + 1761950234.

It is an arithmetic number, because the mean of its divisors is an integer number (45810702834).

Almost surely, 2444011427342 is an apocalyptic number.

444011427342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444011427342 is an abundant number, since it is smaller than the sum of its proper divisors (655445440674).

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

444011427342 is a wasteful number, since it uses less digits than its factorization.

444011427342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523900232 (or 3523900229 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 444011427342 its reverse (243724110444), we get a palindrome (687735537786).

The spelling of 444011427342 in words is "four hundred forty-four billion, eleven million, four hundred twenty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3523900217 7047800434 10571700651 21143401302 24667301519 31715101953 49334603038 63430203906 74001904557 148003809114 222005713671 444011427342