Search a number
-
+
11412420144 = 2431717597951
BaseRepresentation
bin10101010000011101…
…11011011000110000
31002110100111000022120
422220032323120300
5141333034421034
65124235434240
7552544653636
oct125016733060
932410430276
1011412420144
114927017194
122265bb5980
1310cb4c7238
147a3989356
1546bda7c49
hex2a83bb630

11412420144 has 80 divisors (see below), whose sum is σ = 31238000640. Its totient is φ = 3577881600.

The previous prime is 11412420139. The next prime is 11412420247. The reversal of 11412420144 is 44102421411.

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

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, 1431369 + ... + 1439319.

It is an arithmetic number, because the mean of its divisors is an integer number (390475008).

Almost surely, 211412420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619000320).

11412420144 is an abundant number, since it is smaller than the sum of its proper divisors (19825580496).

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

11412420144 is a wasteful number, since it uses less digits than its factorization.

11412420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11412420144 its reverse (44102421411), we get a palindrome (55514841555).

The spelling of 11412420144 in words is "eleven billion, four hundred twelve million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1759 3518 5277 7036 7951 10554 14072 15902 21108 23853 28144 29903 31804 42216 47706 59806 63608 84432 89709 95412 119612 127216 135167 179418 190824 239224 270334 358836 381648 405501 478448 540668 717672 811002 1081336 1435344 1622004 2162672 3244008 6488016 13985809 27971618 41957427 55943236 83914854 111886472 167829708 223772944 237758753 335659416 475517506 671318832 713276259 951035012 1426552518 1902070024 2853105036 3804140048 5706210072 11412420144