Search a number
-
+
11313145344 = 29357112899
BaseRepresentation
bin10101000100101000…
…01110011000000000
31002012102200022220010
422202110032120000
5141132131122334
65110331544520
7550231102014
oct124224163000
932172608803
1011313145344
114885a805a6
1222388bb140
1310b3a78857
14794706544
154632e80e9
hex2a250e600

11313145344 has 80 divisors (see below), whose sum is σ = 30194049600. Its totient is φ = 3764152320.

The previous prime is 11313145343. The next prime is 11313145379. The reversal of 11313145344 is 44354131311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313145343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870607 + ... + 883505.

It is an arithmetic number, because the mean of its divisors is an integer number (377425620).

Almost surely, 211313145344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097024800).

11313145344 is an abundant number, since it is smaller than the sum of its proper divisors (18880904256).

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

11313145344 is an equidigital number, since it uses as much as digits as its factorization.

11313145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13475 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 11313145344 its reverse (44354131311), we get a palindrome (55667276655).

The spelling of 11313145344 in words is "eleven billion, three hundred thirteen million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 571 768 1142 1536 1713 2284 3426 4568 6852 9136 12899 13704 18272 25798 27408 36544 38697 51596 54816 73088 77394 103192 109632 146176 154788 206384 219264 292352 309576 412768 438528 619152 825536 877056 1238304 1651072 2476608 3302144 4953216 6604288 7365329 9906432 14730658 19812864 22095987 29461316 44191974 58922632 88383948 117845264 176767896 235690528 353535792 471381056 707071584 942762112 1414143168 1885524224 2828286336 3771048448 5656572672 11313145344