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11414350350 = 232521331113557
BaseRepresentation
bin10101010000101100…
…10010101000001110
31002110111010002001200
422220112102220032
5141334033202400
65124345050330
7552600243234
oct125026225016
932414102050
1011414350350
1149281153a7
1222667869a6
1310cba21980
147a3d2c954
1546c139b00
hex2a8592a0e

11414350350 has 288 divisors, whose sum is σ = 34454294784. Its totient is φ = 2690150400.

The previous prime is 11414350333. The next prime is 11414350351. The reversal of 11414350350 is 5305341411.

It is a happy number.

11414350350 is a `hidden beast` number, since 1 + 14 + 143 + 503 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414350351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20492272 + ... + 20492828.

It is an arithmetic number, because the mean of its divisors is an integer number (119632968).

Almost surely, 211414350350 is an apocalyptic number.

11414350350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414350350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227147392).

11414350350 is an abundant number, since it is smaller than the sum of its proper divisors (23039944434).

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

11414350350 is a wasteful number, since it uses less digits than its factorization.

11414350350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11414350350 its reverse (5305341411), we get a palindrome (16719691761).

The spelling of 11414350350 in words is "eleven billion, four hundred fourteen million, three hundred fifty thousand, three hundred fifty".