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11410000140 = 22357112938429
BaseRepresentation
bin10101010000001011…
…01100100100001100
31002110011221001200210
422220011230210030
5141331430001030
65124111522420
7552515254350
oct125005544414
932404831623
1011410000140
114925713a90
122265229410
1310cab5a896
147a3519460
1546ba7abb0
hex2a816c90c

11410000140 has 192 divisors, whose sum is σ = 39971957760. Its totient is φ = 2362536960.

The previous prime is 11410000093. The next prime is 11410000181. The reversal of 11410000140 is 4100001411.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1349446 + ... + 1357874.

It is an arithmetic number, because the mean of its divisors is an integer number (208187280).

Almost surely, 211410000140 is an apocalyptic number.

11410000140 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 11410000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985978880).

11410000140 is an abundant number, since it is smaller than the sum of its proper divisors (28561957620).

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

11410000140 is a wasteful number, since it uses less digits than its factorization.

11410000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11410000140 its reverse (4100001411), we get a palindrome (15510001551).

It can be divided in two parts, 1 and 1410000140, that added together give a palindrome (1410000141).

The spelling of 11410000140 in words is "eleven billion, four hundred ten million, one hundred forty", and thus it is an aban number.