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44100087201 = 345352119717
BaseRepresentation
bin101001000100100100…
…011110110110100001
311012211102002112210000
4221010210132312201
51210304110242301
632132001530213
73120561361542
oct510444366641
9135742075700
1044100087201
1117780393265
128669043969
13420a648371
1421c4d364c9
15123192c786
hexa4491eda1

44100087201 has 40 divisors (see below), whose sum is σ = 67253129064. Its totient is φ = 28788514560.

The previous prime is 44100087137. The next prime is 44100087211. The reversal of 44100087201 is 10278000144.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 43353486225 = 27324^2 + 208215^2 .

It is not a de Polignac number, because 44100087201 - 26 = 44100087137 is a prime.

It is a super-2 number, since 2×441000872012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44100087211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2226795 + ... + 2246511.

Almost surely, 244100087201 is an apocalyptic number.

It is an amenable number.

44100087201 is a deficient number, since it is larger than the sum of its proper divisors (23153041863).

44100087201 is a wasteful number, since it uses less digits than its factorization.

44100087201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20303 (or 20294 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 44100087201 its reverse (10278000144), we get a palindrome (54378087345).

The spelling of 44100087201 in words is "forty-four billion, one hundred million, eighty-seven thousand, two hundred one".

Divisors: 1 3 9 27 53 81 159 477 521 1431 1563 4293 4689 14067 19717 27613 42201 59151 82839 177453 248517 532359 745551 1045001 1597077 2236653 3135003 9405009 10272557 28215027 30817671 84645081 92453013 277359039 544445521 832077117 1633336563 4900009689 14700029067 44100087201