Search a number
-
+
13023340344 = 23327213926557
BaseRepresentation
bin11000010000100000…
…00110011100111000
31020121121201020101200
430020100012130320
5203132433342334
65552143214200
7640505365200
oct141020063470
936547636350
1013023340344
1155833773a3
1226355a7360
1312c7184661
148b78c3400
15513512799
hex308406738

13023340344 has 144 divisors (see below), whose sum is σ = 41326903800. Its totient is φ = 3694045824.

The previous prime is 13023340333. The next prime is 13023340361. The reversal of 13023340344 is 44304332031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477114 + ... + 503670.

Almost surely, 213023340344 is an apocalyptic number.

13023340344 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 13023340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20663451900).

13023340344 is an abundant number, since it is smaller than the sum of its proper divisors (28303563456).

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

13023340344 is a wasteful number, since it uses less digits than its factorization.

13023340344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26722 (or 26708 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13023340344 its reverse (44304332031), we get a palindrome (57327672375).

The spelling of 13023340344 in words is "thirteen billion, twenty-three million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 139 147 168 196 252 278 294 392 417 441 504 556 588 834 882 973 1112 1176 1251 1668 1764 1946 2502 2919 3336 3528 3892 5004 5838 6811 7784 8757 10008 11676 13622 17514 20433 23352 26557 27244 35028 40866 53114 54488 61299 70056 79671 81732 106228 122598 159342 163464 185899 212456 239013 245196 318684 371798 478026 490392 557697 637368 743596 956052 1115394 1301293 1487192 1673091 1912104 2230788 2602586 3346182 3691423 3903879 4461576 5205172 6692364 7382846 7807758 10410344 11074269 11711637 13384728 14765692 15615516 22148538 23423274 25839961 29531384 31231032 33222807 44297076 46846548 51679922 66445614 77519883 88594152 93693096 103359844 132891228 155039766 180879727 206719688 232559649 265782456 310079532 361759454 465119298 542639181 620159064 723518908 930238596 1085278362 1447037816 1627917543 1860477192 2170556724 3255835086 4341113448 6511670172 13023340344