Search a number
-
+
3131040816 = 2432211103049
BaseRepresentation
bin1011101010011111…
…1110010000110000
322002012121100112200
42322213332100300
522403021301231
61234405023200
7140406256611
oct27247762060
98065540480
103131040816
111367433342
127346b4b00
133ab8a5997
14219b97c08
15134d2abe6
hexba9fe430

3131040816 has 60 divisors (see below), whose sum is σ = 8804179800. Its totient is φ = 1038723840.

The previous prime is 3131040811. The next prime is 3131040817. The reversal of 3131040816 is 6180401313.

It is a self number, because there is not a number n which added to its sum of digits gives 3131040816.

It is not an unprimeable number, because it can be changed into a prime (3131040811) 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 11 ways as a sum of consecutive naturals, for example, 21141 + ... + 81908.

It is an arithmetic number, because the mean of its divisors is an integer number (146736330).

Almost surely, 23131040816 is an apocalyptic number.

3131040816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3131040816 is an abundant number, since it is smaller than the sum of its proper divisors (5673138984).

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

3131040816 is a wasteful number, since it uses less digits than its factorization.

3131040816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103274 (or 103265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3131040816 is about 55955.7040524020. The cubic root of 3131040816 is about 1462.9503135775.

The spelling of 3131040816 in words is "three billion, one hundred thirty-one million, forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 103049 206098 309147 412196 618294 824392 927441 1236588 1648784 1854882 2473176 3709764 4946352 7419528 14839056 21743339 43486678 65230017 86973356 130460034 173946712 195690051 260920068 347893424 391380102 521840136 782760204 1043680272 1565520408 3131040816