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11143014322440 = 233572111328147161
BaseRepresentation
bin1010001000100110111101…
…1010010001000100001000
31110110021001211100000002110
42202021233122101010020
52430031343131304230
635411010300502320
72230025165646600
oct242115732210410
943407054300073
1011143014322440
1136067a90a6120
1212bb710b4a9a0
1362aa216436a0
142a7479257c00
15144cc6d4d4b0
hexa226f691108

11143014322440 has 768 divisors, whose sum is σ = 45848798634240. Its totient is φ = 2129670144000.

The previous prime is 11143014322403. The next prime is 11143014322441. The reversal of 11143014322440 is 4422341034111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11143014322398 and 11143014322407.

It is not an unprimeable number, because it can be changed into a prime (11143014322441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 236252460 + ... + 236299620.

It is an arithmetic number, because the mean of its divisors is an integer number (59698956555).

Almost surely, 211143014322440 is an apocalyptic number.

11143014322440 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 11143014322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924399317120).

11143014322440 is an abundant number, since it is smaller than the sum of its proper divisors (34705784311800).

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

11143014322440 is a wasteful number, since it uses less digits than its factorization.

11143014322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47494 (or 47483 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11143014322440 its reverse (4422341034111), we get a palindrome (15565355356551).

The spelling of 11143014322440 in words is "eleven trillion, one hundred forty-three billion, fourteen million, three hundred twenty-two thousand, four hundred forty".