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11344242432 = 283101146249
BaseRepresentation
bin10101001000010101…
…10110011100000000
31002021121012020002010
422210022312130000
5141213111224212
65113402252520
7551056320045
oct124412663400
932247166063
1011344242432
1148a1590276
1222471b7140
1310ba345cb3
147988bd1cc
15465ddc03c
hex2a42b6700

11344242432 has 72 divisors (see below), whose sum is σ = 30491370000. Its totient is φ = 3743948800.

The previous prime is 11344242419. The next prime is 11344242451. The reversal of 11344242432 is 23424244311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11344242432.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4444 + ... + 150692.

It is an arithmetic number, because the mean of its divisors is an integer number (423491250).

Almost surely, 211344242432 is an apocalyptic number.

11344242432 is a gapful number since it is divisible by the number (12) 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 11344242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245685000).

11344242432 is an abundant number, since it is smaller than the sum of its proper divisors (19147127568).

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

11344242432 is a wasteful number, since it uses less digits than its factorization.

11344242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146369 (or 146355 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 11344242432 its reverse (23424244311), we get a palindrome (34768486743).

It can be divided in two parts, 11 and 344242432, that added together give a palindrome (344242443).

The spelling of 11344242432 in words is "eleven billion, three hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 25856 38784 77568 146249 292498 438747 584996 877494 1169992 1754988 2339984 3509976 4679968 7019952 9359936 14039904 14771149 18719872 28079808 29542298 37439744 44313447 56159616 59084596 88626894 112319232 118169192 177253788 236338384 354507576 472676768 709015152 945353536 1418030304 1890707072 2836060608 3781414144 5672121216 11344242432