Search a number
-
+
51444220014 = 23311233765497
BaseRepresentation
bin101111111010010100…
…001000000001101110
311220210020101011001000
4233322110020001232
51320324210020024
635344432101130
73500556440505
oct577224100156
9156706334030
1051444220014
111a8a9a14a10
129b786947a6
134b0b031a95
1426c047383c
151511571cc9
hexbfa50806e

51444220014 has 64 divisors (see below), whose sum is σ = 130135610880. Its totient is φ = 14911364160.

The previous prime is 51444220007. The next prime is 51444220019. The reversal of 51444220014 is 41002244415.

51444220014 is a `hidden beast` number, since 5 + 1 + 4 + 442 + 200 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51444220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51444220019) 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 31 ways as a sum of consecutive naturals, for example, 1869087 + ... + 1896410.

It is an arithmetic number, because the mean of its divisors is an integer number (2033368920).

Almost surely, 251444220014 is an apocalyptic number.

51444220014 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51444220014 is an abundant number, since it is smaller than the sum of its proper divisors (78691390866).

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

51444220014 is a wasteful number, since it uses less digits than its factorization.

51444220014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765542 (or 3765536 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 51444220014 its reverse (41002244415), we get a palindrome (92446464429).

The spelling of 51444220014 in words is "fifty-one billion, four hundred forty-four million, two hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 3765497 7530994 11296491 22592982 33889473 41420467 67778946 82840934 86606431 101668419 124261401 173212862 203336838 248522802 259819293 372784203 519638586 745568406 779457879 952670741 1118352609 1558915758 1905341482 2236705218 2338373637 2858012223 4676747274 5716024446 8574036669 17148073338 25722110007 51444220014