Search a number
-
+
2431231441144 = 2311291138430769
BaseRepresentation
bin100011011000010000101…
…011111011100011111000
322121102102200212211000021
4203120100223323203320
5304313130222104034
65100520423220224
7340436116163242
oct43302053734370
98542380784007
102431231441144
11858096848170
123332325a7674
13148358419bac
148595a853092
154339669b6b4
hex23610afb8f8

2431231441144 has 64 divisors (see below), whose sum is σ = 5189982012000. Its totient is φ = 1057555537920.

The previous prime is 2431231441123. The next prime is 2431231441157. The reversal of 2431231441144 is 4411441321342.

2431231441144 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 2×24312314411442 (a number of 26 digits) 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 15 ways as a sum of consecutive naturals, for example, 3927009 + ... + 4503760.

Almost surely, 22431231441144 is an apocalyptic number.

It is an amenable number.

2431231441144 is an abundant number, since it is smaller than the sum of its proper divisors (2758750570856).

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

2431231441144 is a wasteful number, since it uses less digits than its factorization.

2431231441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430928 (or 8430924 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 2431231441144 its reverse (4411441321342), we get a palindrome (6842672762486).

The spelling of 2431231441144 in words is "two trillion, four hundred thirty-one billion, two hundred thirty-one million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 113 116 226 232 319 452 638 904 1243 1276 2486 2552 3277 4972 6554 9944 13108 26216 36047 72094 144188 288376 8430769 16861538 33723076 67446152 92738459 185476918 244492301 370953836 488984602 741907672 952676897 977969204 1905353794 1955938408 2689415311 3810707588 5378830622 7621415176 10479445867 10757661244 20958891734 21515322488 27627630013 41917783468 55255260026 83835566936 110510520052 221021040104 303903930143 607807860286 1215615720572 2431231441144