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2312013043144 = 2374281428353
BaseRepresentation
bin100001101001001110101…
…101110101010111001000
322012000201011102200220001
4201221032231311113020
5300340000314340034
64530042451212344
7326015560420000
oct41511655652710
98160634380801
102312013043144
118115790a8212
123141005a70b4
1313a03914351c
147dc8b247000
154021a136a14
hex21a4eb755c8

2312013043144 has 80 divisors (see below), whose sum is σ = 5075236713420. Its totient is φ = 987334225920.

The previous prime is 2312013043051. The next prime is 2312013043163. The reversal of 2312013043144 is 4413403102132.

It is a happy number.

2312013043144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1969144240644 + 342868802500 = 1403262^2 + 585550^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5183272 + ... + 5611624.

Almost surely, 22312013043144 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 2312013043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537618356710).

2312013043144 is an abundant number, since it is smaller than the sum of its proper divisors (2763223670276).

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

2312013043144 is an equidigital number, since it uses as much as digits as its factorization.

2312013043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428668 (or 428643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2312013043144 its reverse (4413403102132), we get a palindrome (6725416145276).

The spelling of 2312013043144 in words is "two trillion, three hundred twelve billion, thirteen million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 281 343 392 562 686 1124 1372 1967 2248 2401 2744 3934 4802 7868 9604 13769 15736 19208 27538 55076 96383 110152 192766 385532 428353 674681 771064 856706 1349362 1713412 2698724 2998471 3426824 5397448 5996942 11993884 20989297 23987768 41978594 83957188 120367193 146925079 167914376 240734386 293850158 481468772 587700316 842570351 962937544 1028475553 1175400632 1685140702 2056951106 3370281404 4113902212 5897992457 6740562808 8227804424 11795984914 23591969828 41285947199 47183939656 82571894398 165143788796 289001630393 330287577592 578003260786 1156006521572 2312013043144