Search a number
-
+
138531108744 = 23327274863311
BaseRepresentation
bin1000000100000100011…
…0001111011110001000
3111020120110201110202100
42001001012033132020
54232202430434434
6143350150233400
713002633665340
oct2010106173610
9436513643670
10138531108744
1153829221426
1222a21955860
13100a9472582
1469c2505d20
15390bcbe699
hex204118f788

138531108744 has 48 divisors (see below), whose sum is σ = 428786766720. Its totient is φ = 39580316640.

The previous prime is 138531108743. The next prime is 138531108761. The reversal of 138531108744 is 447801135831.

138531108744 is a `hidden beast` number, since 1 + 3 + 8 + 531 + 108 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138531108744.

It is not an unprimeable number, because it can be changed into a prime (138531108743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137431152 + ... + 137432159.

It is an arithmetic number, because the mean of its divisors is an integer number (8933057640).

Almost surely, 2138531108744 is an apocalyptic number.

138531108744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138531108744 is an abundant number, since it is smaller than the sum of its proper divisors (290255657976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138531108744 is a wasteful number, since it uses less digits than its factorization.

138531108744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274863330 (or 274863323 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138531108744 in words is "one hundred thirty-eight billion, five hundred thirty-one million, one hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 274863311 549726622 824589933 1099453244 1649179866 1924043177 2198906488 2473769799 3298359732 3848086354 4947539598 5772129531 6596719464 7696172708 9895079196 11544259062 15392345416 17316388593 19790158392 23088518124 34632777186 46177036248 69265554372 138531108744