Search a number
-
+
2312333034144 = 25374018580977
BaseRepresentation
bin100001101001100001110…
…010100000001010100000
322012001112110112221000120
4201221201302200022200
5300341124224043034
64530134321520240
7326026524330240
oct41514162401240
98161473487016
102312333034144
11811722796191
1231418b7a3080
1313a08a520603
147dcbb941b20
1540238293c49
hex21a61ca02a0

2312333034144 has 96 divisors (see below), whose sum is σ = 6954299162496. Its totient is φ = 659018956800.

The previous prime is 2312333034101. The next prime is 2312333034191. The reversal of 2312333034144 is 4414303332132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4021017 + ... + 4559960.

It is an arithmetic number, because the mean of its divisors is an integer number (72440616276).

Almost surely, 22312333034144 is an apocalyptic number.

2312333034144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2312333034144 is an abundant number, since it is smaller than the sum of its proper divisors (4641966128352).

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

2312333034144 is a wasteful number, since it uses less digits than its factorization.

2312333034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581398 (or 8581390 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 2312333034144 its reverse (4414303332132), we get a palindrome (6726636366276).

The spelling of 2312333034144 in words is "two trillion, three hundred twelve billion, three hundred thirty-three million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 401 672 802 1203 1604 2406 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 33684 38496 44912 67368 89824 134736 269472 8580977 17161954 25742931 34323908 51485862 60066839 68647816 102971724 120133678 137295632 180200517 205943448 240267356 274591264 360401034 411886896 480534712 720802068 823773792 961069424 1441604136 1922138848 2883208272 3440971777 5766416544 6881943554 10322915331 13763887108 20645830662 24086802439 27527774216 41291661324 48173604878 55055548432 72260407317 82583322648 96347209756 110111096864 144520814634 165166645296 192694419512 289041629268 330333290592 385388839024 578083258536 770777678048 1156166517072 2312333034144