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3994144771320 = 233251123110212897
BaseRepresentation
bin111010000111110101100…
…101001000110011111000
3112010211120211001021011200
4322013311211020303320
51010420002030140240
612254515040054200
7561365426246424
oct72076545106370
915124524037150
103994144771320
1112aa9a8661700
12546113004360
1322c852a1a992
14db463857b84
156dd6be1c930
hex3a1f5948cf8

3994144771320 has 576 divisors, whose sum is σ = 14748123237120. Its totient is φ = 935801856000.

The previous prime is 3994144771319. The next prime is 3994144771367. The reversal of 3994144771320 is 231774414993.

3994144771320 is a `hidden beast` number, since 3 + 99 + 41 + 447 + 71 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1378716112 + ... + 1378719008.

It is an arithmetic number, because the mean of its divisors is an integer number (25604380620).

Almost surely, 23994144771320 is an apocalyptic number.

3994144771320 is a gapful number since it is divisible by the number (30) 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 3994144771320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374061618560).

3994144771320 is an abundant number, since it is smaller than the sum of its proper divisors (10753978465800).

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

3994144771320 is a wasteful number, since it uses less digits than its factorization.

3994144771320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3994144771320 in words is "three trillion, nine hundred ninety-four billion, one hundred forty-four million, seven hundred seventy-one thousand, three hundred twenty".