Search a number
-
+
20312414144 = 261140997039
BaseRepresentation
bin10010111010101101…
…101101011111000000
31221102121101112212222
4102322231231133000
5313044434223034
613155325310212
71316234446211
oct227255553700
957377345788
1020312414144
118683912430
123b2a705368
131bb9331089
14da99ab408
157dd3cd12e
hex4bab6d7c0

20312414144 has 56 divisors (see below), whose sum is σ = 43988736000. Its totient is φ = 9229351680.

The previous prime is 20312414131. The next prime is 20312414159. The reversal of 20312414144 is 44141421302.

It is a congruent number.

It is an unprimeable number.

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, 2882177 + ... + 2889215.

Almost surely, 220312414144 is an apocalyptic number.

It is an amenable number.

20312414144 is an abundant number, since it is smaller than the sum of its proper divisors (23676321856).

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

20312414144 is a wasteful number, since it uses less digits than its factorization.

20312414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 20312414144 its reverse (44141421302), we get a palindrome (64453835446).

The spelling of 20312414144 in words is "twenty billion, three hundred twelve million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 4099 7039 8198 14078 16396 28156 32792 45089 56312 65584 77429 90178 112624 131168 154858 180356 225248 262336 309716 360712 450496 619432 721424 1238864 1442848 2477728 2885696 4955456 28852861 57705722 115411444 230822888 317381471 461645776 634762942 923291552 1269525884 1846583104 2539051768 5078103536 10156207072 20312414144