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441432035645013 = 33731301872495861
BaseRepresentation
bin110010001011110101110011…
…1101011010101011001010101
32010212222111020112220022022000
41210113223213223111121111
5430324410302111120023
64202503024433025513
7161660261233106160
oct14427534753253125
92125874215808260
10441432035645013
11118721303015236
124161459b6b5299
1315c40b2975c03a
147b015d2c70ad7
1536079d8688243
hex1917ae7ad5655

441432035645013 has 64 divisors (see below), whose sum is σ = 771533640253440. Its totient is φ = 244101697070400.

The previous prime is 441432035644981. The next prime is 441432035645017. The reversal of 441432035645013 is 310546530234144.

441432035645013 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 3 + 20 + 3 + 564 + 50 + 13 = 666.

It is not a de Polignac number, because 441432035645013 - 25 = 441432035644981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 441432035645013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441432035645017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175617703 + ... + 178113563.

It is an arithmetic number, because the mean of its divisors is an integer number (12055213128960).

Almost surely, 2441432035645013 is an apocalyptic number.

It is an amenable number.

441432035645013 is a deficient number, since it is larger than the sum of its proper divisors (330101604608427).

441432035645013 is a wasteful number, since it uses less digits than its factorization.

441432035645013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526095 (or 2526089 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 441432035645013 its reverse (310546530234144), we get a palindrome (751978565879157).

The spelling of 441432035645013 in words is "four hundred forty-one trillion, four hundred thirty-two billion, thirty-five million, six hundred forty-five thousand, thirteen".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 30187 90561 211309 271683 633927 815049 935797 1901781 2495861 2807391 5705343 6550579 7487583 8422173 17471027 19651737 22462749 25266519 52413081 58955211 67388247 77371691 157239243 176865633 232115073 471717729 541601837 696345219 1624805511 2089035657 4874416533 14623249599 75342556007 226027668021 527397892049 678083004063 1582193676147 2034249012189 2335619236217 4746581028441 7006857708651 14239743085323 16349334653519 21020573125953 49048003960557 63061719377859 147144011881671 441432035645013