Search a number
-
+
12114343304 = 2372192956087
BaseRepresentation
bin10110100100001001…
…00011010110001000
31011021021021101212122
423102010203112020
5144302232441204
65322032230412
7606130135100
oct132204432610
934237241778
1012114343304
11515725a478
12242109b408
1311b0a5aa9b
1482cca4200
154ad80a0be
hex2d2123588

12114343304 has 96 divisors (see below), whose sum is σ = 28773144000. Its totient is φ = 4748913792.

The previous prime is 12114343301. The next prime is 12114343321. The reversal of 12114343304 is 40334341121.

It is a happy number.

It is a super-3 number, since 3×121143433043 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114343301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187949 + ... + 244035.

It is an arithmetic number, because the mean of its divisors is an integer number (299720250).

Almost surely, 212114343304 is an apocalyptic number.

12114343304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386572000).

12114343304 is an abundant number, since it is smaller than the sum of its proper divisors (16658800696).

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

12114343304 is a wasteful number, since it uses less digits than its factorization.

12114343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56155 (or 56144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12114343304 its reverse (40334341121), we get a palindrome (52448684425).

The spelling of 12114343304 in words is "twelve billion, one hundred fourteen million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 116 133 152 196 203 232 266 392 406 532 551 812 931 1064 1102 1421 1624 1862 2204 2842 3724 3857 4408 5684 7448 7714 11368 15428 26999 30856 53998 56087 107996 112174 215992 224348 392609 448696 785218 1065653 1570436 1626523 2131306 2748263 3140872 3253046 4262612 5496526 6506092 7459571 8525224 10993052 11385661 13012184 14919142 21986104 22771322 29838284 30903937 45542644 52216997 59676568 61807874 79699627 91085288 104433994 123615748 159399254 208867988 216327559 247231496 318798508 417735976 432655118 637597016 865310236 1514292913 1730620472 3028585826 6057171652 12114343304