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13343442240 = 263573190403
BaseRepresentation
bin11000110110101010…
…01100010101000000
31021102221001002122110
430123111030111000
5204311410122430
610044020135320
7651443246652
oct143325142500
937387032573
1013343442240
115728030717
122704837540
1313485a006b
1490820a6d2
155316927b0
hex31b54c540

13343442240 has 112 divisors (see below), whose sum is σ = 42946003008. Its totient is φ = 3509489664.

The previous prime is 13343442199. The next prime is 13343442257. The reversal of 13343442240 is 4224434331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13343442198 and 13343442207.

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, 25122 + ... + 165281.

Almost surely, 213343442240 is an apocalyptic number.

13343442240 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 13343442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473001504).

13343442240 is an abundant number, since it is smaller than the sum of its proper divisors (29602560768).

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

13343442240 is a wasteful number, since it uses less digits than its factorization.

13343442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190496 (or 190486 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 13343442240 its reverse (4224434331), we get a palindrome (17567876571).

The spelling of 13343442240 in words is "thirteen billion, three hundred forty-three million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2190 2336 2920 3504 4380 4672 5840 7008 8760 11680 14016 17520 23360 35040 70080 190403 380806 571209 761612 952015 1142418 1523224 1904030 2284836 2856045 3046448 3808060 4569672 5712090 6092896 7616120 9139344 11424180 12185792 13899419 15232240 18278688 22848360 27798838 30464480 36557376 41698257 45696720 55597676 60928960 69497095 83396514 91393440 111195352 138994190 166793028 182786880 208491285 222390704 277988380 333586056 416982570 444781408 555976760 667172112 833965140 889562816 1111953520 1334344224 1667930280 2223907040 2668688448 3335860560 4447814080 6671721120 13343442240