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11324212440 = 2335419225223
BaseRepresentation
bin10101000101111100…
…11100010011011000
31002020012111121002120
422202332130103120
5141142444244230
65111405101240
7550424134422
oct124276342330
932205447076
1011324212440
11489124a462
122240557820
1310b6152028
14795d87812
15464282310
hex2a2f9c4d8

11324212440 has 64 divisors (see below), whose sum is σ = 34053868800. Its totient is φ = 3012569472.

The previous prime is 11324212433. The next prime is 11324212453. The reversal of 11324212440 is 4421242311.

11324212440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11324212440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62332 + ... + 162891.

It is an arithmetic number, because the mean of its divisors is an integer number (532091700).

Almost surely, 211324212440 is an apocalyptic number.

11324212440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11324212440 is an abundant number, since it is smaller than the sum of its proper divisors (22729656360).

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

11324212440 is a wasteful number, since it uses less digits than its factorization.

11324212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225656 (or 225652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11324212440 its reverse (4421242311), we get a palindrome (15745454751).

The spelling of 11324212440 in words is "eleven billion, three hundred twenty-four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 50280 225223 450446 675669 900892 1126115 1351338 1801784 2252230 2702676 3378345 4504460 5405352 6756690 9008920 13513380 27026760 94368437 188736874 283105311 377473748 471842185 566210622 754947496 943684370 1132421244 1415526555 1887368740 2264842488 2831053110 3774737480 5662106220 11324212440