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4014374944 = 25416594643
BaseRepresentation
bin1110111101000110…
…1000000000100000
3101100202202101011111
43233101220000200
531210134444234
61502201553104
7201323424016
oct35721500040
911322671144
104014374944
111780012348
129404a5794
134bc8b56b8
142a12168b6
15187664664
hexef468020

4014374944 has 48 divisors (see below), whose sum is σ = 8110095840. Its totient is φ = 1954839040.

The previous prime is 4014374933. The next prime is 4014374981. The reversal of 4014374944 is 4494734104.

It is a super-2 number, since 2×40143749442 = 32230412382030006272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014374897 and 4014374906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862287 + ... + 866929.

It is an arithmetic number, because the mean of its divisors is an integer number (168960330).

Almost surely, 24014374944 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 4014374944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055047920).

4014374944 is an abundant number, since it is smaller than the sum of its proper divisors (4095720896).

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

4014374944 is a wasteful number, since it uses less digits than its factorization.

4014374944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 4014374944 is about 63359.0951955597. The cubic root of 4014374944 is about 1589.3003453645.

The spelling of 4014374944 in words is "four billion, fourteen million, three hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 659 1312 1318 2636 4643 5272 9286 10544 18572 21088 27019 37144 54038 74288 108076 148576 190363 216152 380726 432304 761452 864608 1522904 3045808 3059737 6091616 6119474 12238948 24477896 48955792 97911584 125449217 250898434 501796868 1003593736 2007187472 4014374944