Search a number
-
+
136445736140046 = 23259180171338133
BaseRepresentation
bin11111000001100010111111…
…101000100011110100001110
3122220010002021221201212000200
4133001202333220203310032
5120341011331422440141
61202110150021234330
740511610352664064
oct3701427750436416
9586102257655020
10136445736140046
113a526347a10a23
1213378120b629a6
135b19a15818478
14259a01a484034
1510b94002c8ab6
hex7c18bfa23d0e

136445736140046 has 48 divisors (see below), whose sum is σ = 300810082875120. Its totient is φ = 44686205884800.

The previous prime is 136445736139991. The next prime is 136445736140057. The reversal of 136445736140046 is 640041637544631.

136445736140046 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 573 + 61 + 4 + 0 + 0 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136445736139974 and 136445736140001.

It is a congruent number.

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, 33756405 + ... + 37581728.

It is an arithmetic number, because the mean of its divisors is an integer number (6266876726565).

Almost surely, 2136445736140046 is an apocalyptic number.

136445736140046 is an abundant number, since it is smaller than the sum of its proper divisors (164364346735074).

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

136445736140046 is a wasteful number, since it uses less digits than its factorization.

136445736140046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71340001 (or 71339998 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 136445736140046 in words is "one hundred thirty-six trillion, four hundred forty-five billion, seven hundred thirty-six million, one hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 1801 3602 5403 10806 16209 32418 106259 212518 318777 637554 956331 1912662 71338133 142676266 214014399 428028798 642043197 1284086394 4208949847 8417899694 12626849541 25253699082 37880548623 75761097246 128479977533 256959955066 385439932599 770879865198 1156319797797 2312639595594 7580318674447 15160637348894 22740956023341 45481912046682 68222868070023 136445736140046