Search a number
-
+
12421241144 = 23136111317327
BaseRepresentation
bin10111001000101110…
…10001100100111000
31012001122202102120022
423210113101210320
5200414314204034
65412314150012
7616544544014
oct134427214470
935048672508
1012421241144
1152a4515354
1224a7a22308
13122c502440
1485b951544
154ca72cb2e
hex2e45d1938

12421241144 has 64 divisors (see below), whose sum is σ = 25719603840. Its totient is φ = 5588674560.

The previous prime is 12421241113. The next prime is 12421241219. The reversal of 12421241144 is 44114212421.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

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, 708209 + ... + 725535.

It is an arithmetic number, because the mean of its divisors is an integer number (401868810).

Almost surely, 212421241144 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 12421241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859801920).

12421241144 is an abundant number, since it is smaller than the sum of its proper divisors (13298362696).

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

12421241144 is a wasteful number, since it uses less digits than its factorization.

12421241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17516 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 12421241144 its reverse (44114212421), we get a palindrome (56535453565).

The spelling of 12421241144 in words is "twelve billion, four hundred twenty-one million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 61 104 113 122 226 244 452 488 793 904 1469 1586 2938 3172 5876 6344 6893 11752 13786 17327 27572 34654 55144 69308 89609 138616 179218 225251 358436 450502 716872 901004 1056947 1802008 1957951 2113894 3915902 4227788 7831804 8455576 13740311 15663608 25453363 27480622 50906726 54961244 101813452 109922488 119435011 203626904 238870022 477740044 955480088 1552655143 3105310286 6210620572 12421241144