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11340242320 = 24511103125113
BaseRepresentation
bin10101000111110111…
…00101110110010000
31002021022122222221211
422203323211312100
5141211100223240
65113140425504
7551010316651
oct124373456620
932238588854
1011340242320
11489a2a89a0
1222459a8294
1310b9575374
1479815b528
1546589bbea
hex2a3ee5d90

11340242320 has 80 divisors (see below), whose sum is σ = 29042462592. Its totient is φ = 4083655680.

The previous prime is 11340242281. The next prime is 11340242453. The reversal of 11340242320 is 2324204311.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 11340242291 and 11340242300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28084 + ... + 153196.

Almost surely, 211340242320 is an apocalyptic number.

11340242320 is a gapful number since it is divisible by the number (10) 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 11340242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14521231296).

11340242320 is an abundant number, since it is smaller than the sum of its proper divisors (17702220272).

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

11340242320 is a wasteful number, since it uses less digits than its factorization.

11340242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125240 (or 125234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11340242320 its reverse (2324204311), we get a palindrome (13664446631).

The spelling of 11340242320 in words is "eleven billion, three hundred forty million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5665 8240 9064 11330 18128 22660 45320 90640 125113 250226 500452 625565 1000904 1251130 1376243 2001808 2502260 2752486 5004520 5504972 6881215 10009040 11009944 12886639 13762430 22019888 25773278 27524860 51546556 55049720 64433195 103093112 110099440 128866390 141753029 206186224 257732780 283506058 515465560 567012116 708765145 1030931120 1134024232 1417530290 2268048464 2835060580 5670121160 11340242320