Search a number
-
+
10440002322012 = 2233128979687443
BaseRepresentation
bin1001011111101100000010…
…1000010011111001011100
31100222001110201020010112010
42113323000220103321130
52332022111043301022
634112023145511220
72125156663356654
oct227730050237134
940861421203463
1010440002322012
11336564215aa7a
1212074137a2510
135a964617cc93
14281427d05364
1513187d63150c
hex97ec0a13e5c

10440002322012 has 48 divisors (see below), whose sum is σ = 25154494589952. Its totient is φ = 3366579843840.

The previous prime is 10440002321971. The next prime is 10440002322017. The reversal of 10440002322012 is 21022320004401.

10440002322012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10440002322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440002322017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3766038 + ... + 5921405.

It is an arithmetic number, because the mean of its divisors is an integer number (524051970624).

Almost surely, 210440002322012 is an apocalyptic number.

10440002322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10440002322012 is an abundant number, since it is smaller than the sum of its proper divisors (14714492267940).

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

10440002322012 is a wasteful number, since it uses less digits than its factorization.

10440002322012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690378 (or 9690376 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10440002322012 its reverse (21022320004401), we get a palindrome (31462322326413).

The spelling of 10440002322012 in words is "ten trillion, four hundred forty billion, two million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 2897 5794 8691 11588 17382 34764 89807 179614 269421 359228 538842 1077684 9687443 19374886 29062329 38749772 58124658 116249316 300310733 600621466 900932199 1201242932 1801864398 3603728796 28064522371 56129044742 84193567113 112258089484 168387134226 336774268452 870000193501 1740000387002 2610000580503 3480000774004 5220001161006 10440002322012