Search a number
-
+
44321544512344 = 23112933631473411
BaseRepresentation
bin10100001001111011010011…
…11010101010001101011000
312210221002122122100100212101
422010331221322222031120
521302131010343343334
6234133011513053144
712223061122234531
oct1204755172521530
9183832578310771
1044321544512344
1113138730464a40
124b7998b6b71b4
131b96671875348
14ad3262011688
1551cd899e0214
hex284f69eaa358

44321544512344 has 64 divisors (see below), whose sum is σ = 90992361761280. Its totient is φ = 20071826544000.

The previous prime is 44321544512317. The next prime is 44321544512347.

44321544512344 is nontrivially palindromic in base 10.

44321544512344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44321544512294 and 44321544512303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44321544512347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93384999 + ... + 93858409.

It is an arithmetic number, because the mean of its divisors is an integer number (1421755652520).

Almost surely, 244321544512344 is an apocalyptic number.

44321544512344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44321544512344 is an abundant number, since it is smaller than the sum of its proper divisors (46670817248936).

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

44321544512344 is a wasteful number, since it uses less digits than its factorization.

44321544512344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477352 (or 477348 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4432154 and 4512344, that added together give a palindrome (8944498).

The spelling of 44321544512344 in words is "forty-four trillion, three hundred twenty-one billion, five hundred forty-four million, five hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 293 586 1172 2344 3223 3631 6446 7262 12892 14524 25784 29048 39941 79882 159764 319528 473411 946822 1063883 1893644 2127766 3787288 4255532 5207521 8511064 10415042 11702713 20830084 23405426 41660168 46810852 93621704 138709423 277418846 554837692 1109675384 1525803653 1718955341 3051607306 3437910682 6103214612 6875821364 12206429224 13751642728 18908508751 37817017502 75634035004 151268070008 503653914913 1007307829826 2014615659652 4029231319304 5540193064043 11080386128086 22160772256172 44321544512344