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444642055016235 = 35172106782768991
BaseRepresentation
bin110010100011001100100101…
…1101111011100111100101011
32011022100100212022200001200120
41211012121023233130330223
5431240003412041004420
64213401423512334323
7162441220425422136
oct14506311357347453
92138310768601616
10444642055016235
11119749700297a9a
1241a527386a43a3
13161147482bb71b
147bb2b0c7b121d
153661260c88d40
hex194664bbdcf2b

444642055016235 has 32 divisors (see below), whose sum is σ = 753311717332992. Its totient is φ = 223182277547520.

The previous prime is 444642055016183. The next prime is 444642055016251. The reversal of 444642055016235 is 532610550246444.

It is not a de Polignac number, because 444642055016235 - 28 = 444642055015979 is a prime.

It is a super-3 number, since 3×4446420550162353 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36012411 + ... + 46756580.

It is an arithmetic number, because the mean of its divisors is an integer number (23540991166656).

Almost surely, 2444642055016235 is an apocalyptic number.

444642055016235 is a deficient number, since it is larger than the sum of its proper divisors (308669662316757).

444642055016235 is a wasteful number, since it uses less digits than its factorization.

444642055016235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82790083.

The product of its (nonzero) digits is 13824000, while the sum is 51.

The spelling of 444642055016235 in words is "four hundred forty-four trillion, six hundred forty-two billion, fifty-five million, sixteen thousand, two hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 21067 63201 105335 316005 358139 1074417 1790695 5372085 82768991 248306973 413844955 1241534865 1407072847 4221218541 7035364235 21106092705 1743694333397 5231083000191 8718471666985 26155415000955 29642803667749 88928411003247 148214018338745 444642055016235