Search a number
-
+
1325196141264 = 2432172417110939
BaseRepresentation
bin10011010010001011110…
…110000110001011010000
311200200120012100001021100
4103102023312012023100
5133203000203010024
62452441532224400
7164512411226232
oct23221366061320
94620505301240
101325196141264
11471015746036
121949b960b100
1397c72166778
14481d59cc252
1524710e3d7c9
hex1348bd862d0

1325196141264 has 360 divisors, whose sum is σ = 4093007405760. Its totient is φ = 399858278400.

The previous prime is 1325196141257. The next prime is 1325196141293. The reversal of 1325196141264 is 4621416915231.

1325196141264 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 9 + 614 + 1 + 26 + 4 = 666.

It is a super-2 number, since 2×13251961412642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121138707 + ... + 121149645.

It is an arithmetic number, because the mean of its divisors is an integer number (11369465016).

Almost surely, 21325196141264 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 1325196141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046503702880).

1325196141264 is an abundant number, since it is smaller than the sum of its proper divisors (2767811264496).

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

1325196141264 is a wasteful number, since it uses less digits than its factorization.

1325196141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11073 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 1325196141264 in words is "one trillion, three hundred twenty-five billion, one hundred ninety-six million, one hundred forty-one thousand, two hundred sixty-four".