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11340333004 = 227111317166603
BaseRepresentation
bin10101000111110111…
…11011111111001100
31002021022211121100111
422203323323333030
5141211111124004
65113142405404
7551011145230
oct124373737714
932238747314
1011340333004
11489a360040
122245a30864
1310b95a7720
147981825c0
154658b8a04
hex2a3efbfcc

11340333004 has 96 divisors (see below), whose sum is σ = 28213387776. Its totient is φ = 3838510080.

The previous prime is 11340332999. The next prime is 11340333119. The reversal of 11340333004 is 40033304311.

It is a happy number.

It is a super-2 number, since 2×113403330042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15234 + ... + 151369.

It is an arithmetic number, because the mean of its divisors is an integer number (293889456).

Almost surely, 211340333004 is an apocalyptic number.

11340333004 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 11340333004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106693888).

11340333004 is an abundant number, since it is smaller than the sum of its proper divisors (16873054772).

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

11340333004 is a wasteful number, since it uses less digits than its factorization.

11340333004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166655 (or 166653 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11340333004 its reverse (40033304311), we get a palindrome (51373637315).

The spelling of 11340333004 in words is "eleven billion, three hundred forty million, three hundred thirty-three thousand, four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 68068 166603 333206 666412 1166221 1832633 2165839 2332442 2832251 3665266 4331678 4664884 5664502 7330532 8663356 11329004 12828431 15160873 19825757 23824229 25656862 30321746 31154761 36819263 39651514 47648458 51313724 60643492 62309522 73638526 79303028 95296916 124619044 147277052 166769603 218083327 257734841 333539206 405011893 436166654 515469682 667078412 810023786 872333308 1030939364 1620047572 2835083251 5670166502 11340333004