Search a number
-
+
138453354831 = 31137233486667
BaseRepresentation
bin1000000011110001110…
…1101000100101001111
3111020101001102011102210
42000330131220211033
54232023024323311
6143334331521503
713001001045501
oct2007435504517
9436331364383
10138453354831
11537993447a0
12229bb8b9293
131009631a63c
1469b6065d71
1539050613a6
hex203c76894f

138453354831 has 32 divisors (see below), whose sum is σ = 207717689088. Its totient is φ = 81292688640.

The previous prime is 138453354763. The next prime is 138453354841.

138453354831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138453354831 - 27 = 138453354703 is a prime.

It is a super-2 number, since 2×1384533548312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138453354841) 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, 41160 + ... + 527826.

It is an arithmetic number, because the mean of its divisors is an integer number (6491177784).

Almost surely, 2138453354831 is an apocalyptic number.

138453354831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138453354831 is a deficient number, since it is larger than the sum of its proper divisors (69264334257).

138453354831 is a wasteful number, since it uses less digits than its factorization.

138453354831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486951.

The product of its digits is 2073600, while the sum is 48.

The spelling of 138453354831 in words is "one hundred thirty-eight billion, four hundred fifty-three million, three hundred fifty-four thousand, eight hundred thirty-one".

Divisors: 1 3 11 33 37 111 233 407 699 1221 2563 7689 8621 25863 94831 284493 486667 1460001 5353337 16060011 18006679 54020037 113393411 198073469 340180233 594220407 1247327521 3741982563 4195556207 12586668621 46151118277 138453354831