Search a number
-
+
12413140233444 = 2233669771716059
BaseRepresentation
bin1011010010100010100011…
…0100000110110011100100
31121221200111002022111101000
42310220220310012303210
53111334102344432234
642222303511033300
72420551121033016
oct264505064066344
947850432274330
1012413140233444
113a56424063065
1214858bb66b830
136c072848c292
1430cb28db21b6
15167d6321b899
hexb4a28d06ce4

12413140233444 has 48 divisors (see below), whose sum is σ = 32182714670400. Its totient is φ = 4137649221888.

The previous prime is 12413140233391. The next prime is 12413140233467. The reversal of 12413140233444 is 44433204131421.

12413140233444 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 314 + 0 + 2 + 334 + 4 + 4 = 666.

It is a super-2 number, since 2×124131402334442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12413140233399 and 12413140233408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6375487 + ... + 8091545.

It is an arithmetic number, because the mean of its divisors is an integer number (670473222300).

Almost surely, 212413140233444 is an apocalyptic number.

It is an amenable number.

12413140233444 is an abundant number, since it is smaller than the sum of its proper divisors (19769574436956).

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

12413140233444 is a wasteful number, since it uses less digits than its factorization.

12413140233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783049 (or 1783041 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 12413140233444 its reverse (44433204131421), we get a palindrome (56846344364865).

The spelling of 12413140233444 in words is "twelve trillion, four hundred thirteen billion, one hundred forty million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 66977 133954 200931 267908 401862 602793 803724 1205586 1716059 1808379 2411172 3432118 3616758 5148177 6864236 7233516 10296354 15444531 20592708 30889062 46333593 61778124 92667186 185334372 114936483643 229872967286 344809450929 459745934572 689618901858 1034428352787 1379237803716 2068856705574 3103285058361 4137713411148 6206570116722 12413140233444