Search a number
-
+
137310612144 = 24317809208001
BaseRepresentation
bin111111111100001011…
…0011010101010110000
3111010102102010211011120
41333320112122222300
54222203004042034
6143025110542240
712630453642246
oct1777026325260
9433372124146
10137310612144
1153262296252
1222741067980
13cc43652934
14690839c796
153889a85c49
hex1ff859aab0

137310612144 has 80 divisors (see below), whose sum is σ = 376050975840. Its totient is φ = 43024384000.

The previous prime is 137310612029. The next prime is 137310612167. The reversal of 137310612144 is 441216013731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556144 + ... + 764144.

It is an arithmetic number, because the mean of its divisors is an integer number (4700637198).

Almost surely, 2137310612144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137310612144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188025487920).

137310612144 is an abundant number, since it is smaller than the sum of its proper divisors (238740363696).

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

137310612144 is a wasteful number, since it uses less digits than its factorization.

137310612144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208838 (or 208832 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 137310612144 its reverse (441216013731), we get a palindrome (578526625875).

The spelling of 137310612144 in words is "one hundred thirty-seven billion, three hundred ten million, six hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 809 816 1618 2427 3236 4854 6472 9708 12944 13753 19416 27506 38832 41259 55012 82518 110024 165036 208001 220048 330072 416002 624003 660144 832004 1248006 1664008 2496012 3328016 3536017 4992024 7072034 9984048 10608051 14144068 21216102 28288136 42432204 56576272 84864408 168272809 169728816 336545618 504818427 673091236 1009636854 1346182472 2019273708 2692364944 2860637753 4038547416 5721275506 8077094832 8581913259 11442551012 17163826518 22885102024 34327653036 45770204048 68655306072 137310612144