Search a number
-
+
119956969440 = 25355711172357
BaseRepresentation
bin110111110110111111…
…1100001011111100000
3102110122000012102200000
41233231333201133200
53431132441010230
6131035114100000
711444434262610
oct1575577413740
9373560172600
10119956969440
1146967644680
121b2b941a600
13b4092cc2b9
145b3d744a40
1531c1305b60
hex1bedfe17e0

119956969440 has 1152 divisors, whose sum is σ = 560635665408. Its totient is φ = 23449927680.

The previous prime is 119956969427. The next prime is 119956969459. The reversal of 119956969440 is 44969659911.

119956969440 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 569 + 69 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50892742 + ... + 50895098.

It is an arithmetic number, because the mean of its divisors is an integer number (486662904).

Almost surely, 2119956969440 is an apocalyptic number.

119956969440 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 119956969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280317832704).

119956969440 is an abundant number, since it is smaller than the sum of its proper divisors (440678695968).

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

119956969440 is a wasteful number, since it uses less digits than its factorization.

119956969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 119956969440 in words is "one hundred nineteen billion, nine hundred fifty-six million, nine hundred sixty-nine thousand, four hundred forty".