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1444063077117 = 332331405118517
BaseRepresentation
bin10101000000111000110…
…111011110001011111101
312010001101020110000222000
4111000320313132023331
5142124420121431432
63023220551212513
7206221141425513
oct25007067361375
95101336400860
101444063077117
11507472a62301
121b3a51977139
13a623669457b
144dc7066a4b3
152786b6cb57c
hex15038dde2fd

1444063077117 has 64 divisors (see below), whose sum is σ = 2305073233920. Its totient is φ = 890878824000.

The previous prime is 1444063077059. The next prime is 1444063077143. The reversal of 1444063077117 is 7117703604441.

1444063077117 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 630 + 7 + 7 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 1444063077117 - 26 = 1444063077053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444063077917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77976543 + ... + 77995059.

It is an arithmetic number, because the mean of its divisors is an integer number (36016769280).

Almost surely, 21444063077117 is an apocalyptic number.

It is an amenable number.

1444063077117 is a deficient number, since it is larger than the sum of its proper divisors (861010156803).

1444063077117 is a wasteful number, since it uses less digits than its factorization.

1444063077117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22631 (or 22625 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1444063077117 in words is "one trillion, four hundred forty-four billion, sixty-three million, seventy-seven thousand, one hundred seventeen".

Divisors: 1 3 9 23 27 31 69 93 207 279 621 713 837 2139 4051 6417 12153 18517 19251 36459 55551 93173 109377 125581 166653 279519 376743 425891 499959 574027 838557 1130229 1277673 1722081 2515671 2888363 3390687 3833019 5166243 8665089 11499057 13202621 15498729 25995267 39607863 75012367 77985801 118823589 225037101 356470767 675111303 1725284441 2025333909 2325383377 5175853323 6976150131 15527559969 20928450393 46582679907 53483817671 62785351179 160451453013 481354359039 1444063077117