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3913614144 = 26351122877
BaseRepresentation
bin1110100101000101…
…0000001101000000
3101002202011012100000
43221101100031000
531003341123034
61444202200000
7165661112526
oct35121201500
911082135300
103913614144
111729151260
129127b3000
134a4a6681b
14291aa8316
1517d8ae599
hexe9450340

3913614144 has 168 divisors, whose sum is σ = 12691250208. Its totient is φ = 1185891840.

The previous prime is 3913614113. The next prime is 3913614163. The reversal of 3913614144 is 4414163193.

3913614144 is a `hidden beast` number, since 39 + 1 + 3 + 614 + 1 + 4 + 4 = 666.

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

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 = 3913614099 and 3913614108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159634 + ... + 182510.

It is an arithmetic number, because the mean of its divisors is an integer number (75543156).

Almost surely, 23913614144 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 3913614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345625104).

3913614144 is an abundant number, since it is smaller than the sum of its proper divisors (8777636064).

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

3913614144 is a wasteful number, since it uses less digits than its factorization.

3913614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22915 (or 22893 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3913614144 is about 62558.8854120660. The cubic root of 3913614144 is about 1575.8903700356.

The spelling of 3913614144 in words is "three billion, nine hundred thirteen million, six hundred fourteen thousand, one hundred forty-four".