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11422099440 = 243357121049
BaseRepresentation
bin10101010001100111…
…10110011111110000
31002111000200202211000
422220303312133300
5141343024140230
65125223122000
7553023146313
oct125063663760
932430622730
1011422099440
114931528404
1222692a3300
131100505b2b
147a4d8897a
1546cb6ab60
hex2a8cf67f0

11422099440 has 240 divisors, whose sum is σ = 39942756000. Its totient is φ = 3000130560.

The previous prime is 11422099439. The next prime is 11422099441. The reversal of 11422099440 is 4499022411.

11422099440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 209 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (11422099439) and next prime (11422099441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11422099395 and 11422099404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422099441) 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 47 ways as a sum of consecutive naturals, for example, 10888036 + ... + 10889084.

It is an arithmetic number, because the mean of its divisors is an integer number (166428150).

Almost surely, 211422099440 is an apocalyptic number.

11422099440 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 11422099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971378000).

11422099440 is an abundant number, since it is smaller than the sum of its proper divisors (28520656560).

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

11422099440 is a wasteful number, since it uses less digits than its factorization.

11422099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11422099440 in words is "eleven billion, four hundred twenty-two million, ninety-nine thousand, four hundred forty".