Search a number
-
+
45114131541320 = 2352347480551039
BaseRepresentation
bin10100100000111111100111…
…10010001110110101001000
312220201212110101200011022122
422100133303302032311020
521403122220133310240
6235541051303510412
712334250143643252
oct1220376362166510
9186655411604278
1045114131541320
111341388314a8a6
125087507458408
131c23323ab551a
14b1d76da3acd2
155337c70e14b5
hex2907f3c8ed48

45114131541320 has 32 divisors (see below), whose sum is σ = 101550045772800. Its totient is φ = 18037963762368.

The previous prime is 45114131541287. The next prime is 45114131541343. The reversal of 45114131541320 is 2314513141154.

45114131541320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240181640 + ... + 240369399.

It is an arithmetic number, because the mean of its divisors is an integer number (3173438930400).

Almost surely, 245114131541320 is an apocalyptic number.

45114131541320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45114131541320 is an abundant number, since it is smaller than the sum of its proper divisors (56435914231480).

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

45114131541320 is a wasteful number, since it uses less digits than its factorization.

45114131541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480553397 (or 480553393 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 45114131541320 its reverse (2314513141154), we get a palindrome (47428644682474).

The spelling of 45114131541320 in words is "forty-five trillion, one hundred fourteen billion, one hundred thirty-one million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2347 4694 9388 11735 18776 23470 46940 93880 480551039 961102078 1922204156 2402755195 3844408312 4805510390 9611020780 19222041560 1127853288533 2255706577066 4511413154132 5639266442665 9022826308264 11278532885330 22557065770660 45114131541320