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1344020233314 = 231132371910177
BaseRepresentation
bin10011100011101101110…
…110010011110001100010
311202111011002012000001210
4103203231312103301202
5134010023134431224
62505233454010550
7166050034326123
oct23435566236142
94674132160053
101344020233314
11478aa5424000
121985917a6a56
1399982033a85
144909da5604a
1524e6382c429
hex138edd93c62

1344020233314 has 128 divisors (see below), whose sum is σ = 3089786757120. Its totient is φ = 388991032320.

The previous prime is 1344020233289. The next prime is 1344020233321. The reversal of 1344020233314 is 4133320204431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132059394 + ... + 132069570.

It is an arithmetic number, because the mean of its divisors is an integer number (24138959040).

Almost surely, 21344020233314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344020233314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544893378560).

1344020233314 is an abundant number, since it is smaller than the sum of its proper divisors (1745766523806).

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

1344020233314 is a wasteful number, since it uses less digits than its factorization.

1344020233314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1344020233314 its reverse (4133320204431), we get a palindrome (5477340437745).

The spelling of 1344020233314 in words is "one trillion, three hundred forty-four billion, twenty million, two hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 719 726 759 1331 1438 1518 2157 2662 2783 3993 4314 5566 7909 7986 8349 10177 15818 16537 16698 20354 23727 30531 30613 33074 47454 49611 61062 61226 86999 91839 99222 111947 173998 181907 183678 223894 234071 260997 335841 363814 468142 521994 545721 671682 702213 956989 1091442 1231417 1404426 1913978 2000977 2462834 2574781 2870967 3694251 4001954 5149562 5741934 6002931 7317263 7388502 7724343 12005862 13545587 14634526 15448686 21951789 22010747 27091174 28322591 40636761 43903578 44021494 56645182 66032241 80489893 81273522 84967773 132064482 160979786 168297049 169935546 241469679 311548501 336594098 482939358 504891147 623097002 885388823 934645503 1009782294 1770777646 1851267539 1869291006 2656166469 3702535078 5312332938 5553802617 9739277053 11107605234 19478554106 20363942929 29217831159 40727885858 58435662318 61091828787 122183657574 224003372219 448006744438 672010116657 1344020233314