Search a number
-
+
4016133540 = 2232559378167
BaseRepresentation
bin1110111101100001…
…0101010110100100
3101100220001201111200
43233120111112210
531211112233130
61502303402500
7201344400066
oct35730252644
911326051450
104016133540
111781003631
12940bb3430
134c007cca3
142a1553736
151878b0760
hexef6155a4

4016133540 has 72 divisors (see below), whose sum is σ = 12388783680. Its totient is φ = 1052814144.

The previous prime is 4016133509. The next prime is 4016133581. The reversal of 4016133540 is 453316104.

4016133540 is a `hidden beast` number, since 4 + 0 + 1 + 613 + 3 + 5 + 40 = 666.

It is a super-2 number, since 2×40161335402 = 32258657222225863200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 178464 + ... + 199703.

It is an arithmetic number, because the mean of its divisors is an integer number (172066440).

Almost surely, 24016133540 is an apocalyptic number.

It is an amenable number.

4016133540 is an abundant number, since it is smaller than the sum of its proper divisors (8372650140).

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

4016133540 is a wasteful number, since it uses less digits than its factorization.

4016133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378241 (or 378236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4016133540 is about 63372.9716835182. The cubic root of 4016133540 is about 1589.5323888946.

Adding to 4016133540 its reverse (453316104), we get a palindrome (4469449644).

The spelling of 4016133540 in words is "four billion, sixteen million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 378167 756334 1134501 1512668 1890835 2269002 3403503 3781670 4538004 5672505 6807006 7563340 11345010 13614012 17017515 22311853 22690020 34035030 44623706 66935559 68070060 89247412 111559265 133871118 200806677 223118530 267742236 334677795 401613354 446237060 669355590 803226708 1004033385 1338711180 2008066770 4016133540