Search a number
-
+
139612448448 = 26331121574253
BaseRepresentation
bin1000001000000110001…
…1001110011011000000
3111100100211110012222000
42002001203032123000
54241411241322243
6144045335144000
713041504142254
oct2020143163300
9440324405860
10139612448448
1154233650a00
1223083b15000
131021c4bb855
146a85d88264
153971bbb5d3
hex20818ce6c0

139612448448 has 336 divisors, whose sum is σ = 454119264480. Its totient is φ = 42027448320.

The previous prime is 139612448431. The next prime is 139612448449. The reversal of 139612448448 is 844844216931.

139612448448 is a `hidden beast` number, since 1 + 39 + 6 + 124 + 48 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 139612448394 and 139612448403.

It is not an unprimeable number, because it can be changed into a prime (139612448449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32824690 + ... + 32828942.

It is an arithmetic number, because the mean of its divisors is an integer number (1351545430).

Almost surely, 2139612448448 is an apocalyptic number.

139612448448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139612448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227059632240).

139612448448 is an abundant number, since it is smaller than the sum of its proper divisors (314506816032).

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

139612448448 is a wasteful number, since it uses less digits than its factorization.

139612448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4426 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 139612448448 in words is "one hundred thirty-nine billion, six hundred twelve million, four hundred forty-eight thousand, four hundred forty-eight".