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12443402500 = 2254232972
BaseRepresentation
bin10111001011010111…
…10100000100000100
31012010012110100020021
423211223310010010
5200441002340000
65414425144524
7620234114254
oct134553640404
935105410207
1012443402500
115305a81521
1224b332b144
131233c91579
1486087d964
154cc65911a
hex2e5af4104

12443402500 has 135 divisors (see below), whose sum is σ = 28742047257. Its totient is φ = 4711872000.

The previous prime is 12443402471. The next prime is 12443402533. The reversal of 12443402500 is 520434421.

It is a happy number.

The square root of 12443402500 is 111550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10083774724 + 2359627776 = 100418^2 + 48576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128282452 + ... + 128282548.

Almost surely, 212443402500 is an apocalyptic number.

12443402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12443402500 is the 111550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443402500

12443402500 is an abundant number, since it is smaller than the sum of its proper divisors (16298644757).

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

12443402500 is an frugal number, since it uses more digits than its factorization.

12443402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Multiplying 12443402500 by its sum of digits (25), we get a square (311085062500 = 5577502).

12443402500 divided by its sum of digits (25) gives a square (497736100 = 223102).

Adding to 12443402500 its reverse (520434421), we get a palindrome (12963836921).

The spelling of 12443402500 in words is "twelve billion, four hundred forty-three million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 97 100 115 125 194 230 250 388 460 485 500 529 575 625 970 1058 1150 1250 1940 2116 2231 2300 2425 2500 2645 2875 4462 4850 5290 5750 8924 9409 9700 10580 11155 11500 12125 13225 14375 18818 22310 24250 26450 28750 37636 44620 47045 48500 51313 52900 55775 57500 60625 66125 94090 102626 111550 121250 132250 188180 205252 216407 223100 235225 242500 256565 264500 278875 330625 432814 470450 513130 557750 661250 865628 940900 1026260 1082035 1115500 1176125 1282825 1322500 1394375 2164070 2352250 2565650 2788750 4328140 4704500 4977361 5131300 5410175 5577500 5880625 6414125 9954722 10820350 11761250 12828250 19909444 21640700 23522500 24886805 25656500 27050875 32070625 49773610 54101750 64141250 99547220 108203500 124434025 128282500 135254375 248868050 270508750 497736100 541017500 622170125 1244340250 2488680500 3110850625 6221701250 12443402500