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12340200444 = 223111343916381
BaseRepresentation
bin10110111111000100…
…01000001111111100
31011212000021010121220
423133202020033330
5200233042403234
65400301153340
7614541654525
oct133742101774
934760233556
1012340200444
1152627a3270
12248485b850
131218799470
14850c9784c
154c3570a49
hex2df8883fc

12340200444 has 96 divisors (see below), whose sum is σ = 33906808320. Its totient is φ = 3443731200.

The previous prime is 12340200421. The next prime is 12340200449. The reversal of 12340200444 is 44400204321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340200449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 745134 + ... + 761514.

It is an arithmetic number, because the mean of its divisors is an integer number (353195920).

Almost surely, 212340200444 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 12340200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953404160).

12340200444 is an abundant number, since it is smaller than the sum of its proper divisors (21566607876).

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

12340200444 is a wasteful number, since it uses less digits than its factorization.

12340200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12340200444 its reverse (44400204321), we get a palindrome (56740404765).

The spelling of 12340200444 in words is "twelve billion, three hundred forty million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 439 572 858 878 1317 1716 1756 2634 4829 5268 5707 9658 11414 14487 16381 17121 19316 22828 28974 32762 34242 49143 57948 62777 65524 68484 98286 125554 180191 188331 196572 212953 251108 360382 376662 425906 540573 638859 720764 753324 851812 1081146 1277718 2162292 2342483 2555436 4684966 7027449 7191259 9369932 14054898 14382518 21573777 28109796 28765036 43147554 79103849 86295108 93486367 158207698 186972734 237311547 280459101 316415396 373945468 474623094 560918202 949246188 1028350037 1121836404 2056700074 3085050111 4113400148 6170100222 12340200444