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11224040340 = 2235797433187
BaseRepresentation
bin10100111010000000…
…10100001110010100
31001222020000022210210
422131000110032110
5140441323242330
65053430045420
7545066524452
oct123500241624
931866008723
1011224040340
11483a7506a7
122212aa9870
13109b47b0b6
1478694d9d2
1545a5968b0
hex29d014394

11224040340 has 96 divisors (see below), whose sum is σ = 31877959680. Its totient is φ = 2950286976.

The previous prime is 11224040329. The next prime is 11224040341. The reversal of 11224040340 is 4304042211.

It is a super-3 number, since 3×112240403403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224040341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3520227 + ... + 3523413.

It is an arithmetic number, because the mean of its divisors is an integer number (332062080).

Almost surely, 211224040340 is an apocalyptic number.

11224040340 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 11224040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938979840).

11224040340 is an abundant number, since it is smaller than the sum of its proper divisors (20653919340).

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

11224040340 is a wasteful number, since it uses less digits than its factorization.

11224040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11224040340 its reverse (4304042211), we get a palindrome (15528082551).

The spelling of 11224040340 in words is "eleven billion, two hundred twenty-four million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 743 790 948 1185 1486 1580 2229 2370 2972 3187 3715 4458 4740 6374 7430 8916 9561 11145 12748 14860 15935 19122 22290 31870 38244 44580 47805 58697 63740 95610 117394 176091 191220 234788 251773 293485 352182 503546 586970 704364 755319 880455 1007092 1173940 1258865 1510638 1760910 2367941 2517730 3021276 3521820 3776595 4735882 5035460 7103823 7553190 9471764 11839705 14207646 15106380 23679410 28415292 35519115 47358820 71038230 142076460 187067339 374134678 561202017 748269356 935336695 1122404034 1870673390 2244808068 2806010085 3741346780 5612020170 11224040340