Search a number
-
+
138621791241 = 3243617338011
BaseRepresentation
bin1000000100011010000…
…0001010110000001001
3111020210210100121202100
42001012200022300021
54232344134304431
6143403150024013
713005114532653
oct2010640126011
9436723317670
10138621791241
115387542953a
1222a481a8009
13100c21a305b
1469d058d6d3
153914c334e6
hex204680ac09

138621791241 has 48 divisors (see below), whose sum is σ = 208556974912. Its totient is φ = 88653398400.

The previous prime is 138621791227. The next prime is 138621791249. The reversal of 138621791241 is 142197126831.

138621791241 is a `hidden beast` number, since 1 + 3 + 8 + 621 + 7 + 9 + 12 + 4 + 1 = 666.

It is not a de Polignac number, because 138621791241 - 221 = 138619694089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138621791249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17299926 + ... + 17307936.

Almost surely, 2138621791241 is an apocalyptic number.

It is an amenable number.

138621791241 is a deficient number, since it is larger than the sum of its proper divisors (69935183671).

138621791241 is a wasteful number, since it uses less digits than its factorization.

138621791241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8851 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 138621791241 in words is "one hundred thirty-eight billion, six hundred twenty-one million, seven hundred ninety-one thousand, two hundred forty-one".

Divisors: 1 3 9 43 61 129 183 387 549 733 2199 2623 6597 7869 8011 23607 24033 31519 44713 72099 94557 134139 283671 344473 402417 488671 1033419 1466013 1922659 3100257 4398039 5767977 5872063 17303931 17616189 21012853 52848567 63038559 189115677 252498709 358195843 757496127 1074587529 2272488381 3223762587 15402421249 46207263747 138621791241