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13224143020240 = 24561157132713007
BaseRepresentation
bin1100000001101111110001…
…0110001110000011010000
31201211012211021010201100201
43000123330112032003100
53213131021103121430
644043030515224544
72533261410005455
oct300337426160320
951735737121321
1013224143020240
114239366a89389
121596b168a8154
1374c053aca889
1433a0a273182c
1517decc44d8ca
hexc06fc58e0d0

13224143020240 has 160 divisors (see below), whose sum is σ = 31475332306944. Its totient is φ = 5165508741120.

The previous prime is 13224143020237. The next prime is 13224143020241. The reversal of 13224143020240 is 4202034142231.

It is a junction number, because it is equal to n+sod(n) for n = 13224143020199 and 13224143020208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224143020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016687817 + ... + 1016700823.

Almost surely, 213224143020240 is an apocalyptic number.

13224143020240 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 13224143020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737666153472).

13224143020240 is an abundant number, since it is smaller than the sum of its proper divisors (18251189286704).

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

13224143020240 is a wasteful number, since it uses less digits than its factorization.

13224143020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14559 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13224143020240 its reverse (4202034142231), we get a palindrome (17426177162471).

The spelling of 13224143020240 in words is "thirteen trillion, two hundred twenty-four billion, one hundred forty-three million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 157 244 305 314 488 610 628 785 976 1220 1256 1327 1570 2440 2512 2654 3140 4880 5308 6280 6635 9577 10616 12560 13007 13270 19154 21232 26014 26540 38308 47885 52028 53080 65035 76616 80947 95770 104056 106160 130070 153232 161894 191540 208112 208339 260140 323788 383080 404735 416678 520280 647576 766160 793427 809470 833356 1040560 1041695 1295152 1586854 1618940 1666712 2042099 2083390 3173708 3237880 3333424 3967135 4084198 4166780 6347416 6475760 7934270 8168396 8333560 10210495 12694832 12708679 15868540 16336792 16667120 17260289 20420990 25417358 31737080 32673584 34520578 40841980 50834716 63474160 63543395 69041156 81683960 86301445 101669432 124568039 127086790 138082312 163367920 172602890 203338864 249136078 254173580 276164624 345205780 498272156 508347160 622840195 690411560 996544312 1016694320 1052877629 1245680390 1380823120 1993088624 2105755258 2491360780 2709865373 4211510516 4982721560 5264388145 5419730746 8423021032 9965443120 10528776290 10839461492 13549326865 16846042064 21057552580 21678922984 27098653730 42115105160 43357845968 54197307460 84230210320 108394614920 165301787753 216789229840 330603575506 661207151012 826508938765 1322414302024 1653017877530 2644828604048 3306035755060 6612071510120 13224143020240