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11043901440 = 2123251113419
BaseRepresentation
bin10100100100100010…
…01001000000000000
31001111200001022200200
422102101021000000
5140104214321230
65023513045200
7540451420245
oct122221110000
931450038620
1011043901440
114757aa3680
1221826b6800
131070058c30
1476aa5b5cc
15449862160
hex292449000

11043901440 has 624 divisors, whose sum is σ = 45080642880. Its totient is φ = 2465464320.

The previous prime is 11043901387. The next prime is 11043901441. The reversal of 11043901440 is 4410934011.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (11043901441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26357551 + ... + 26357969.

It is an arithmetic number, because the mean of its divisors is an integer number (72244620).

Almost surely, 211043901440 is an apocalyptic number.

11043901440 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 11043901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540321440).

11043901440 is an abundant number, since it is smaller than the sum of its proper divisors (34036741440).

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

11043901440 is a wasteful number, since it uses less digits than its factorization.

11043901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11043901440 in words is "eleven billion, forty-three million, nine hundred one thousand, four hundred forty".