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11312343040 = 21157511471
BaseRepresentation
bin10101000100100010…
…01010100000000000
31002012101011120100011
422202101022200000
5141131424434130
65110302434304
7550221220645
oct124221124000
932171146304
1011312343040
114885582839
122238592994
1310b385760b
14794577dcc
154631da52a
hex2a244a800

11312343040 has 96 divisors (see below), whose sum is σ = 27197614080. Its totient is φ = 4515840000.

The previous prime is 11312343011. The next prime is 11312343059. The reversal of 11312343040 is 4034321311.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7689505 + ... + 7690975.

It is an arithmetic number, because the mean of its divisors is an integer number (283308480).

Almost surely, 211312343040 is an apocalyptic number.

11312343040 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 11312343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598807040).

11312343040 is an abundant number, since it is smaller than the sum of its proper divisors (15885271040).

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

11312343040 is an equidigital number, since it uses as much as digits as its factorization.

11312343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11312343040 its reverse (4034321311), we get a palindrome (15346664351).

The spelling of 11312343040 in words is "eleven billion, three hundred twelve million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 751 1024 1280 1471 1502 2048 2560 2942 3004 3755 5120 5884 6008 7355 7510 10240 11768 12016 14710 15020 23536 24032 29420 30040 47072 48064 58840 60080 94144 96128 117680 120160 188288 192256 235360 240320 376576 384512 470720 480640 753152 769024 941440 961280 1104721 1506304 1538048 1882880 1922560 2209442 3012608 3765760 3845120 4418884 5523605 7531520 7690240 8837768 11047210 15063040 17675536 22094420 35351072 44188840 70702144 88377680 141404288 176755360 282808576 353510720 565617152 707021440 1131234304 1414042880 2262468608 2828085760 5656171520 11312343040