Search a number
-
+
125322231441240 = 2332519211129167261
BaseRepresentation
bin11100011111101011011011…
…000101100110011101011000
3121102201200120210012102021100
4130133223123011212131120
5112411234412222104430
61122312123251311400
735253142503045321
oct3437533305463530
9542650523172240
10125322231441240
1136a279505608a9
12120803558ab560
1354c0ab30b6aa2
1422d38b2343448
15e74dbb12e960
hex71fadb166758

125322231441240 has 384 divisors, whose sum is σ = 431105941843200. Its totient is φ = 31485428352000.

The previous prime is 125322231441223. The next prime is 125322231441271. The reversal of 125322231441240 is 42144132223521.

125322231441240 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 2 + 231 + 4 + 412 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125322231441195 and 125322231441204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1863189210 + ... + 1863256470.

It is an arithmetic number, because the mean of its divisors is an integer number (1122671723550).

Almost surely, 2125322231441240 is an apocalyptic number.

125322231441240 is a gapful number since it is divisible by the number (10) 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 125322231441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215552970921600).

125322231441240 is an abundant number, since it is smaller than the sum of its proper divisors (305783710401960).

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

125322231441240 is a wasteful number, since it uses less digits than its factorization.

125322231441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68799 (or 68792 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 125322231441240 its reverse (42144132223521), we get a palindrome (167466363664761).

The spelling of 125322231441240 in words is "one hundred twenty-five trillion, three hundred twenty-two billion, two hundred thirty-one million, four hundred forty-one thousand, two hundred forty".