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2144236324412 = 2272133697227627
BaseRepresentation
bin11111001100111110011…
…100011100011000111100
321120222122111221022022102
4133030332130130120330
5240112343444340122
64321014254004232
7310626114014300
oct37147634343074
97528574838272
102144236324412
11757402561186
122a76984a6678
1312727b9ac8b0
1475ad298bd00
153ab9aaa6492
hex1f33e71c63c

2144236324412 has 72 divisors (see below), whose sum is σ = 4702117969584. Its totient is φ = 848036141568.

The previous prime is 2144236324403. The next prime is 2144236324457.

2144236324412 is nontrivially palindromic in base 10.

It is a zygodrome in base 2.

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, 9306143 + ... + 9533769.

It is an arithmetic number, because the mean of its divisors is an integer number (65307194022).

Almost surely, 22144236324412 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 2144236324412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351058984792).

2144236324412 is an abundant number, since it is smaller than the sum of its proper divisors (2557881645172).

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

2144236324412 is a wasteful number, since it uses less digits than its factorization.

2144236324412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231355 (or 231346 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The spelling of 2144236324412 in words is "two trillion, one hundred forty-four billion, two hundred thirty-six million, three hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 3697 7394 14788 25879 48061 51758 96122 103516 181153 192244 227627 336427 362306 455254 672854 724612 910508 1345708 1593389 2354989 2959151 3186778 4709978 5918302 6373556 9419956 11153723 11836604 20714057 22307446 41428114 44614892 82856228 144998399 289996798 579993596 841537019 1683074038 3366148076 5890759133 10939981247 11781518266 21879962494 23563036532 41235313931 43759924988 76579868729 82470627862 153159737458 164941255724 306319474916 536059081103 1072118162206 2144236324412