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12424045140 = 22335132136139
BaseRepresentation
bin10111001001000011…
…11110001001010100
31012001212000212221000
423210201332021110
5200421023421030
65412454223300
7616610432643
oct134441761124
935055025830
1012424045140
1152a6060001
1224a8954b30
13122cc74800
1485c08135a
154caad3860
hex2e487e254

12424045140 has 144 divisors (see below), whose sum is σ = 41854881600. Its totient is φ = 3058204032.

The previous prime is 12424045133. The next prime is 12424045177. The reversal of 12424045140 is 4154042421.

12424045140 is a `hidden beast` number, since 1 + 242 + 404 + 5 + 14 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23191 + ... + 159329.

It is an arithmetic number, because the mean of its divisors is an integer number (290658900).

Almost surely, 212424045140 is an apocalyptic number.

12424045140 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 12424045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927440800).

12424045140 is an abundant number, since it is smaller than the sum of its proper divisors (29430836460).

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

12424045140 is a wasteful number, since it uses less digits than its factorization.

12424045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136183 (or 136162 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12424045140 its reverse (4154042421), we get a palindrome (16578087561).

The spelling of 12424045140 in words is "twelve billion, four hundred twenty-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 136139 272278 408417 544556 680695 816834 1225251 1361390 1633668 1769807 2042085 2450502 2722780 3539614 3675753 4084170 4901004 5309421 6126255 7079228 7351506 8168340 8849035 10618842 12252510 14703012 15928263 17698070 18378765 21237684 23007491 24505020 26547105 31856526 35396140 36757530 46014982 47784789 53094210 63713052 69022473 73515060 79641315 92029964 95569578 106188420 115037455 138044946 159282630 191139156 207067419 230074910 238923945 276089892 318565260 345112365 414134838 460149820 477847890 621202257 690224730 828269676 955695780 1035337095 1242404514 1380449460 2070674190 2484809028 3106011285 4141348380 6212022570 12424045140