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1334241112204 = 2271113444774933
BaseRepresentation
bin10011011010100110111…
…101111011000010001100
311201112220120001011211001
4103122212331323002030
5133330011211042304
62500535241310044
7165252511221010
oct23324675730214
94645816034731
101334241112204
11474937362630
12196702795324
1398a84031090
1448812d8c540
1524a9004eda4
hex136a6f7b08c

1334241112204 has 96 divisors (see below), whose sum is σ = 3135746912256. Its totient is φ = 479732647680.

The previous prime is 1334241112147. The next prime is 1334241112207. The reversal of 1334241112204 is 4022111424331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1334241112207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17768322 + ... + 17843254.

It is an arithmetic number, because the mean of its divisors is an integer number (32664030336).

Almost surely, 21334241112204 is an apocalyptic number.

1334241112204 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 1334241112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567873456128).

1334241112204 is an abundant number, since it is smaller than the sum of its proper divisors (1801505800052).

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

1334241112204 is a wasteful number, since it uses less digits than its factorization.

1334241112204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79415 (or 79413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1334241112204 its reverse (4022111424331), we get a palindrome (5356352536535).

The spelling of 1334241112204 in words is "one trillion, three hundred thirty-four billion, two hundred forty-one million, one hundred twelve thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 4447 8894 17788 31129 48917 57811 62258 74933 97834 115622 124516 149866 195668 231244 299732 342419 404677 524531 635921 684838 809354 824263 974129 1049062 1271842 1369676 1618708 1648526 1948258 2098124 2543684 3297052 3896516 4451447 5769841 6818903 8902894 10715419 11539682 13637806 17805788 21430838 23079364 27275612 42861676 75007933 150015866 300031732 333227051 666454102 1332908204 2332589357 3665497561 4331951663 4665178714 7330995122 8663903326 9330357428 14661990244 17327806652 25658482927 30323661641 47651468293 51316965854 60647323282 95302936586 102633931708 121294646564 190605873172 333560278051 667120556102 1334241112204