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11441290014 = 235711417457
BaseRepresentation
bin10101010011111010…
…00011101100011110
31002112100210202100000
422221331003230132
5141412432240024
65131150315130
7553345234440
oct125175035436
932470722300
1011441290014
114941345590
1222737b8aa6
1311044949bb
147a7742490
1546e6abcc9
hex2a9f43b1e

11441290014 has 192 divisors, whose sum is σ = 32837156352. Its totient is φ = 2898892800.

The previous prime is 11441290009. The next prime is 11441290019. The reversal of 11441290014 is 41009214411.

It is an interprime number because it is at equal distance from previous prime (11441290009) and next prime (11441290019).

It is a super-2 number, since 2×114412900142 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11441290014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441290019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530574 + ... + 1538030.

It is an arithmetic number, because the mean of its divisors is an integer number (171026856).

Almost surely, 211441290014 is an apocalyptic number.

11441290014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441290014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418578176).

11441290014 is an abundant number, since it is smaller than the sum of its proper divisors (21395866338).

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

11441290014 is a wasteful number, since it uses less digits than its factorization.

11441290014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11441290014 in words is "eleven billion, four hundred forty-one million, two hundred ninety thousand, fourteen".