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138418187391 = 34114110336787
BaseRepresentation
bin1000000011101001011…
…1011110110001111111
3111020021121020110210000
42000322113132301333
54231440023444031
6143331034045343
713000063115511
oct2007227366177
9436247213700
10138418187391
11537805049a0
12229abb79853
131008bc565c3
1469b150dbb1
153901e163e6
hex203a5dec7f

138418187391 has 80 divisors (see below), whose sum is σ = 233321856768. Its totient is φ = 81046915200.

The previous prime is 138418187381. The next prime is 138418187417. The reversal of 138418187391 is 193781814831.

138418187391 is a `hidden beast` number, since 1 + 38 + 41 + 8 + 187 + 391 = 666.

It is not a de Polignac number, because 138418187391 - 27 = 138418187263 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138418187351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3744300 + ... + 3781086.

Almost surely, 2138418187391 is an apocalyptic number.

138418187391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138418187391 is a deficient number, since it is larger than the sum of its proper divisors (94903669377).

138418187391 is a wasteful number, since it uses less digits than its factorization.

138418187391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36954 (or 36945 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 138418187391 in words is "one hundred thirty-eight billion, four hundred eighteen million, one hundred eighty-seven thousand, three hundred ninety-one".

Divisors: 1 3 9 11 27 33 41 81 99 103 123 297 309 369 451 891 927 1107 1133 1353 2781 3321 3399 4059 4223 8343 10197 12177 12669 30591 36531 36787 38007 46453 91773 110361 114021 139359 331083 342063 404657 418077 993249 1213971 1254231 1508267 2979747 3641913 3762693 3789061 4524801 10925739 11367183 13574403 16590937 32777217 34101549 40723209 41679671 49772811 102304647 122169627 125039013 149318433 155351501 306913941 375117039 447955299 466054503 1125351117 1343865897 1398163509 1708866511 3376053351 4194490527 5126599533 12583471581 15379798599 46139395797 138418187391