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1444240756377 = 321516110584473
BaseRepresentation
bin10101000001000011011…
…101010000111010011001
312010001211121210002002100
4111001003131100322121
5142130301113201002
63023250335354013
7206225426610036
oct25010335207231
95101747702070
101444240756377
1150755428a371
121b3aa1382909
13a6264435023
144dc8a0bc38d
152787c0c711c
hex15043750e99

1444240756377 has 12 divisors (see below), whose sum is σ = 2086263332244. Its totient is φ = 962763573120.

The previous prime is 1444240756369. The next prime is 1444240756501. The reversal of 1444240756377 is 7736570424441.

1444240756377 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 4 + 0 + 7 + 563 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1200944207376 + 243296549001 = 1095876^2 + 493251^2 .

It is not a de Polignac number, because 1444240756377 - 23 = 1444240756369 is a prime.

It is a super-2 number, since 2×14442407563772 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444240756307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5155788 + ... + 5428685.

It is an arithmetic number, because the mean of its divisors is an integer number (173855277687).

Almost surely, 21444240756377 is an apocalyptic number.

It is an amenable number.

1444240756377 is a deficient number, since it is larger than the sum of its proper divisors (642022575867).

1444240756377 is a wasteful number, since it uses less digits than its factorization.

1444240756377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599640 (or 10599637 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 1444240756377 in words is "one trillion, four hundred forty-four billion, two hundred forty million, seven hundred fifty-six thousand, three hundred seventy-seven".

Divisors: 1 3 9 15161 45483 136449 10584473 31753419 95260257 160471195153 481413585459 1444240756377