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4013238640 = 245337148859
BaseRepresentation
bin1110111100110101…
…0010100101110000
3101100200121122110011
43233031102211300
531204342114030
61502121344304
7201310652125
oct35715224560
911320548404
104013238640
11177a406654
12940038094
134bc5a8428
142a0ddc74c
151874dcb2a
hexef352970

4013238640 has 40 divisors (see below), whose sum is σ = 9358530480. Its totient is φ = 1600521216.

The previous prime is 4013238611. The next prime is 4013238643. The reversal of 4013238640 is 468323104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40132386402 = 32212168763178099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013238643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47470 + ... + 101389.

It is an arithmetic number, because the mean of its divisors is an integer number (233963262).

Almost surely, 24013238640 is an apocalyptic number.

4013238640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013238640 is an abundant number, since it is smaller than the sum of its proper divisors (5345291840).

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

4013238640 is a wasteful number, since it uses less digits than its factorization.

4013238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149209 (or 149203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 4013238640 is about 63350.1273874015. The cubic root of 4013238640 is about 1589.1503760845.

The spelling of 4013238640 in words is "four billion, thirteen million, two hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 337 674 1348 1685 2696 3370 5392 6740 13480 26960 148859 297718 595436 744295 1190872 1488590 2381744 2977180 5954360 11908720 50165483 100330966 200661932 250827415 401323864 501654830 802647728 1003309660 2006619320 4013238640