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11134243344 = 2437213136137
BaseRepresentation
bin10100101111010011…
…10001001000010000
31001201222001011111010
422113221301020100
5140300331241334
65040501250520
7542626335600
oct122751611020
931658034433
1011134243344
1147a3a98904
1221a8a03a40
13108599a693
14778a56c00
1545275a0e9
hex297a71210

11134243344 has 120 divisors (see below), whose sum is σ = 33715886688. Its totient is φ = 3156840960.

The previous prime is 11134243321. The next prime is 11134243349. The reversal of 11134243344 is 44334243111.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11134243349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290044 + ... + 326180.

Almost surely, 211134243344 is an apocalyptic number.

11134243344 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 11134243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857943344).

11134243344 is an abundant number, since it is smaller than the sum of its proper divisors (22581643344).

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

11134243344 is a wasteful number, since it uses less digits than its factorization.

11134243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36293 (or 36280 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 11134243344 its reverse (44334243111), we get a palindrome (55468486455).

The spelling of 11134243344 in words is "eleven billion, one hundred thirty-four million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 392 393 524 588 784 786 917 1048 1176 1572 1834 2096 2352 2751 3144 3668 5502 6288 6419 7336 11004 12838 14672 19257 22008 25676 36137 38514 44016 51352 72274 77028 102704 108411 144548 154056 216822 252959 289096 308112 433644 505918 578192 758877 867288 1011836 1517754 1734576 1770713 2023672 3035508 3541426 4047344 4733947 5312139 6071016 7082852 9467894 10624278 12142032 14165704 14201841 18935788 21248556 28331408 28403682 33137629 37871576 42497112 56807364 66275258 75743152 84994224 99412887 113614728 132550516 198825774 227229456 231963403 265101032 397651548 463926806 530202064 695890209 795303096 927853612 1391780418 1590606192 1855707224 2783560836 3711414448 5567121672 11134243344