Search a number
-
+
254113131640 = 23554111742751
BaseRepresentation
bin1110110010101001010…
…0101010110001111000
3220021220120200121000011
43230222110222301320
513130410430203030
6312423222151304
724234105660124
oct3545224526170
9807816617004
10254113131640
11988502689a5
12412b9b82534
131ac692711b4
14c428bb4584
156923e89b2a
hex3b2a52ac78

254113131640 has 32 divisors (see below), whose sum is σ = 572811442560. Its totient is φ = 101457360000.

The previous prime is 254113131599. The next prime is 254113131647. The reversal of 254113131640 is 46131311452.

254113131640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254113131647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5849736 + ... + 5893015.

It is an arithmetic number, because the mean of its divisors is an integer number (17900357580).

Almost surely, 2254113131640 is an apocalyptic number.

254113131640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254113131640 is an abundant number, since it is smaller than the sum of its proper divisors (318698310920).

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

254113131640 is a wasteful number, since it uses less digits than its factorization.

254113131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743303 (or 11743299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 254113131640 in words is "two hundred fifty-four billion, one hundred thirteen million, one hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 4328 5410 10820 21640 11742751 23485502 46971004 58713755 93942008 117427510 234855020 469710040 6352828291 12705656582 25411313164 31764141455 50822626328 63528282910 127056565820 254113131640