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11401432560 = 2433571037321
BaseRepresentation
bin10101001111001010…
…00000110111110000
31002102120210210012000
422213211000313300
5141322231320220
65123204134000
7552352402110
oct124745006760
932376723160
1011401432560
1149208a2041
122262397300
1310c914accb
147a2329040
1546ae37390
hex2a7940df0

11401432560 has 320 divisors, whose sum is σ = 45323765760. Its totient is φ = 2580387840.

The previous prime is 11401432541. The next prime is 11401432573. The reversal of 11401432560 is 6523410411.

It is a happy number.

11401432560 is a `hidden beast` number, since 1 + 1 + 401 + 4 + 3 + 256 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553700 + ... + 1561020.

It is an arithmetic number, because the mean of its divisors is an integer number (141636768).

Almost surely, 211401432560 is an apocalyptic number.

11401432560 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 11401432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661882880).

11401432560 is an abundant number, since it is smaller than the sum of its proper divisors (33922333200).

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

11401432560 is a wasteful number, since it uses less digits than its factorization.

11401432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11401432560 its reverse (6523410411), we get a palindrome (17924842971).

The spelling of 11401432560 in words is "eleven billion, four hundred one million, four hundred thirty-two thousand, five hundred sixty".