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11404044240 = 243565372767
BaseRepresentation
bin10101001111011101…
…11110011111010000
31002102202201110201220
422213232332133100
5141323413403430
65123340125040
7552413530251
oct124756763720
932382643656
1011404044240
114922316256
122263236780
1310c9853994
147a2808b28
1546b2a1110
hex2a7bbe7d0

11404044240 has 80 divisors (see below), whose sum is σ = 35407162368. Its totient is φ = 3036379648.

The previous prime is 11404044167. The next prime is 11404044257. The reversal of 11404044240 is 4244040411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11404044240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120337 + ... + 193103.

Almost surely, 211404044240 is an apocalyptic number.

11404044240 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 11404044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703581184).

11404044240 is an abundant number, since it is smaller than the sum of its proper divisors (24003118128).

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

11404044240 is a wasteful number, since it uses less digits than its factorization.

11404044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73436 (or 73430 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11404044240 its reverse (4244040411), we get a palindrome (15648084651).

The spelling of 11404044240 in words is "eleven billion, four hundred four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 52240 72767 78360 145534 156720 218301 291068 363835 436602 582136 727670 873204 1091505 1164272 1455340 1746408 2183010 2910680 3492816 4366020 5821360 8732040 17464080 47516851 95033702 142550553 190067404 237584255 285101106 380134808 475168510 570202212 712752765 760269616 950337020 1140404424 1425505530 1900674040 2280808848 2851011060 3801348080 5702022120 11404044240