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13313342240 = 2551152114519
BaseRepresentation
bin11000110011000100…
…10111101100100000
31021100211101212012122
430121202113230200
5204231203422430
610041023043412
7650626353602
oct143142275440
937324355178
1013313342240
115712042090
1226b6740568
131342291703
14904213172
1552dbe8ee5
hex319897b20

13313342240 has 96 divisors (see below), whose sum is σ = 34380339840. Its totient is φ = 4831590400.

The previous prime is 13313342239. The next prime is 13313342249. The reversal of 13313342240 is 4224331331.

It is not an unprimeable number, because it can be changed into a prime (13313342249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909701 + ... + 924219.

It is an arithmetic number, because the mean of its divisors is an integer number (358128540).

Almost surely, 213313342240 is an apocalyptic number.

13313342240 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 13313342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190169920).

13313342240 is an abundant number, since it is smaller than the sum of its proper divisors (21066997600).

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

13313342240 is a wasteful number, since it uses less digits than its factorization.

13313342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13313342240 its reverse (4224331331), we get a palindrome (17537673571).

It can be divided in two parts, 13313 and 342240, that added together give a palindrome (355553).

The spelling of 13313342240 in words is "thirteen billion, three hundred thirteen million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 521 880 1042 1760 2084 2605 4168 5210 5731 8336 10420 11462 14519 16672 20840 22924 28655 29038 41680 45848 57310 58076 72595 83360 91696 114620 116152 145190 159709 183392 229240 232304 290380 319418 458480 464608 580760 638836 798545 916960 1161520 1277672 1597090 2323040 2555344 3194180 5110688 6388360 7564399 12776720 15128798 25553440 30257596 37821995 60515192 75643990 83208389 121030384 151287980 166416778 242060768 302575960 332833556 416041945 605151920 665667112 832083890 1210303840 1331334224 1664167780 2662668448 3328335560 6656671120 13313342240