Search a number
-
+
2431103444 = 22721139319
BaseRepresentation
bin1001000011100111…
…1011000111010100
320021102112211222022
42100321323013110
514434330302234
61041122552312
7114150016100
oct22071730724
96242484868
102431103444
111038327000
1257a208698
132c9888c63
14190c38900
15e366be2e
hex90e7b1d4

2431103444 has 72 divisors (see below), whose sum is σ = 5444147520. Its totient is φ = 947081520.

The previous prime is 2431103413. The next prime is 2431103461. The reversal of 2431103444 is 4443011342.

2431103444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24311034442 = 11820527910857322272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256217 + ... + 265535.

It is an arithmetic number, because the mean of its divisors is an integer number (75613160).

Almost surely, 22431103444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722073760).

2431103444 is an abundant number, since it is smaller than the sum of its proper divisors (3013044076).

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

2431103444 is a wasteful number, since it uses less digits than its factorization.

2431103444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2431103444 is about 49306.2211490599. The cubic root of 2431103444 is about 1344.6248902583.

Adding to 2431103444 its reverse (4443011342), we get a palindrome (6874114786).

The spelling of 2431103444 in words is "two billion, four hundred thirty-one million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1331 1694 2156 2662 3388 5324 5929 9317 9319 11858 18634 18638 23716 37268 37276 65219 65233 102509 130438 130466 205018 260876 260932 410036 456631 717563 913262 1127599 1435126 1826524 2255198 2870252 4510396 5022941 7893193 10045882 12403589 15786386 20091764 24807178 31572772 49614356 55252351 86825123 110504702 173650246 221009404 347300492 607775861 1215551722 2431103444