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11243447040 = 2835731103131
BaseRepresentation
bin10100111100010100…
…10110001100000000
31002000120112021210110
422132022112030000
5141011310301130
65055402031320
7545423502660
oct123612261400
932016467713
1011243447040
11484a6a61a1
1222194a8540
1310a24b4457
147893621a0
1545c12bab0
hex29e296300

11243447040 has 576 divisors, whose sum is σ = 43100209152. Its totient is φ = 2444083200.

The previous prime is 11243447021. The next prime is 11243447057. The reversal of 11243447040 is 4074434211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 11243446989 and 11243447007.

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 63 ways as a sum of consecutive naturals, for example, 85827775 + ... + 85827905.

It is an arithmetic number, because the mean of its divisors is an integer number (74826752).

Almost surely, 211243447040 is an apocalyptic number.

11243447040 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 11243447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550104576).

11243447040 is an abundant number, since it is smaller than the sum of its proper divisors (31856762112).

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

11243447040 is a wasteful number, since it uses less digits than its factorization.

11243447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 11243447040 in words is "eleven billion, two hundred forty-three million, four hundred forty-seven thousand, forty".