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444641374472711 = 131731137473734853
BaseRepresentation
bin110010100011001100010001…
…1001011011000101000000111
32011022100022002220002212110212
41211012120203023120220013
5431240001013331111321
64213401232202110035
7162441164523044213
oct14506304313305007
92138308086085425
10444641374472711
11119749391127629
1241a525887ab31b
131611466a302250
147bb2a8625d943
15366122115b55b
hex19466232d8a07

444641374472711 has 32 divisors (see below), whose sum is σ = 527187305046528. Its totient is φ = 371104933662720.

The previous prime is 444641374472699. The next prime is 444641374472731. The reversal of 444641374472711 is 117274473146444.

It is a de Polignac number, because none of the positive numbers 2k-444641374472711 is a prime.

It is a super-2 number, since 2×4446413744727112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444641374472731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235928840 + ... + 237806013.

It is an arithmetic number, because the mean of its divisors is an integer number (16474603282704).

Almost surely, 2444641374472711 is an apocalyptic number.

444641374472711 is a deficient number, since it is larger than the sum of its proper divisors (82545930573817).

444641374472711 is a wasteful number, since it uses less digits than its factorization.

444641374472711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473735051.

The product of its digits is 50577408, while the sum is 59.

The spelling of 444641374472711 in words is "four hundred forty-four trillion, six hundred forty-one billion, three hundred seventy-four million, four hundred seventy-two thousand, seven hundred eleven".

Divisors: 1 13 17 31 137 221 403 527 1781 2329 4247 6851 30277 55211 72199 938587 473734853 6158553089 8053492501 14685780443 64901674861 104695402513 190915145759 249658267531 843721773193 1103328472637 2011951920691 3245557477903 14343270144281 26155374968983 34203182651747 444641374472711