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12023404344 = 2333737321319
BaseRepresentation
bin10110011001010011…
…01001011100111000
31011000221011020002000
423030221221130320
5144110442414334
65305023141000
7603644151660
oct131451513470
934027136060
1012023404344
11510a997706
1223b6744760
131197c6a653
14820b911a0
154a5845299
hex2cca69738

12023404344 has 128 divisors (see below), whose sum is σ = 38273664000. Its totient is φ = 3425887872.

The previous prime is 12023404291. The next prime is 12023404357. The reversal of 12023404344 is 44340432021.

It is a happy number.

12023404344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553317 + ... + 574635.

It is an arithmetic number, because the mean of its divisors is an integer number (299013000).

Almost surely, 212023404344 is an apocalyptic number.

12023404344 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 12023404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136832000).

12023404344 is an abundant number, since it is smaller than the sum of its proper divisors (26250259656).

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

12023404344 is a wasteful number, since it uses less digits than its factorization.

12023404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21714 (or 21704 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12023404344 its reverse (44340432021), we get a palindrome (56363836365).

The spelling of 12023404344 in words is "twelve billion, twenty-three million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 373 378 504 746 756 1119 1492 1512 2238 2611 2984 3357 4476 5222 6714 7833 8952 10071 10444 13428 15666 20142 20888 21319 23499 26856 31332 40284 42638 46998 62664 63957 70497 80568 85276 93996 127914 140994 149233 170552 187992 191871 255828 281988 298466 383742 447699 511656 563976 575613 596932 767484 895398 1151226 1193864 1343097 1534968 1790796 2302452 2686194 3581592 4029291 4604904 5372388 7951987 8058582 10744776 15903974 16117164 23855961 31807948 32234328 47711922 55663909 63615896 71567883 95423844 111327818 143135766 166991727 190847688 214703649 222655636 286271532 333983454 429407298 445311272 500975181 572543064 667966908 858814596 1001950362 1335933816 1502925543 1717629192 2003900724 3005851086 4007801448 6011702172 12023404344