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11242131440 = 2451271106509
BaseRepresentation
bin10100111100001010…
…10100111111110000
31002000111001110010112
422132011110333300
5141010441201230
65055313520452
7545406353261
oct123605247760
932014043115
1011242131440
114849987821
122218b73128
1310a21436a7
147890dc968
1545be6bd95
hex29e154ff0

11242131440 has 40 divisors (see below), whose sum is σ = 26343790080. Its totient is φ = 4461440256.

The previous prime is 11242131401. The next prime is 11242131449. The reversal of 11242131440 is 4413124211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242131449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543095 + ... + 563414.

It is an arithmetic number, because the mean of its divisors is an integer number (658594752).

Almost surely, 211242131440 is an apocalyptic number.

11242131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242131440 is an abundant number, since it is smaller than the sum of its proper divisors (15101658640).

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

11242131440 is a wasteful number, since it uses less digits than its factorization.

11242131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106649 (or 1106643 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11242131440 its reverse (4413124211), we get a palindrome (15655255651).

The spelling of 11242131440 in words is "eleven billion, two hundred forty-two million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 1106509 2213018 4426036 5532545 8852072 11065090 17704144 22130180 44260360 88520720 140526643 281053286 562106572 702633215 1124213144 1405266430 2248426288 2810532860 5621065720 11242131440