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137444410441 = 131929105118257
BaseRepresentation
bin1000000000000001010…
…0110100010001001001
3111010202201220110221001
42000000110310101021
54222441232113231
6143050250415001
712634000132612
oct2000024642111
9433681813831
10137444410441
1153320871958
1222779a31461
13cc6529b220
14691c06ac09
1538966b4b61
hex2000534449

137444410441 has 32 divisors (see below), whose sum is σ = 161342294400. Its totient is φ = 115932902400.

The previous prime is 137444410421. The next prime is 137444410487. The reversal of 137444410441 is 144014444731.

It is a cyclic number.

It is not a de Polignac number, because 137444410441 - 25 = 137444410409 is a prime.

It is a super-2 number, since 2×1374444104412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137444410441.

It is not an unprimeable number, because it can be changed into a prime (137444410421) 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, 7519185 + ... + 7537441.

It is an arithmetic number, because the mean of its divisors is an integer number (5041946700).

Almost surely, 2137444410441 is an apocalyptic number.

It is an amenable number.

137444410441 is a deficient number, since it is larger than the sum of its proper divisors (23897883959).

137444410441 is a wasteful number, since it uses less digits than its factorization.

137444410441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19369.

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 137444410441 in words is "one hundred thirty-seven billion, four hundred forty-four million, four hundred ten thousand, four hundred forty-one".

Divisors: 1 13 19 29 247 377 551 1051 7163 13663 18257 19969 30479 237341 259597 346883 396227 529453 579101 4509479 6882889 7528313 10059607 19188107 130774891 249445391 364574033 556455103 4739462429 7233916339 10572646957 137444410441