Search a number
-
+
138416838354 = 232172915598021
BaseRepresentation
bin1000000011101001001…
…0010101011011010010
3111020021111200221020200
42000322102111123102
54231434202311404
6143330545120030
713000045466454
oct2007222253322
9436244627220
10138416838354
115377a773393
12229ab629016
131008b8a3562
1469b127c2d4
153901c4b839
hex203a4956d2

138416838354 has 48 divisors (see below), whose sum is σ = 328494343320. Its totient is φ = 41927477760.

The previous prime is 138416838319. The next prime is 138416838377. The reversal of 138416838354 is 453838614831.

It can be written as a sum of positive squares in 4 ways, for example, as 138363912729 + 52925625 = 371973^2 + 7275^2 .

It is a super-2 number, since 2×1384168383542 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138416838354.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7790137 + ... + 7807884.

Almost surely, 2138416838354 is an apocalyptic number.

138416838354 is an abundant number, since it is smaller than the sum of its proper divisors (190077504966).

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

138416838354 is a wasteful number, since it uses less digits than its factorization.

138416838354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15598075 (or 15598072 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 138416838354 in words is "one hundred thirty-eight billion, four hundred sixteen million, eight hundred thirty-eight thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 15598021 31196042 46794063 93588126 140382189 265166357 280764378 452342609 530332714 795499071 904685218 1357027827 1590998142 2386497213 2714055654 4071083481 4772994426 7689824353 8142166962 15379648706 23069473059 46138946118 69208419177 138416838354