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13301410323040 = 2557112910519273
BaseRepresentation
bin1100000110001111100111…
…0101100101101001100000
31202002121021011012101112021
43001203321311211221200
53220412242020314130
644142330013511224
72541665230153030
oct301437165455140
952077234171467
1013301410323040
1142691073a6624
1215a9a9b4a2514
13756418a3b3a8
1433db125a58c0
15181000a7937a
hexc18f9d65a60

13301410323040 has 96 divisors (see below), whose sum is σ = 35945621570880. Its totient is φ = 4556443705344.

The previous prime is 13301410323031. The next prime is 13301410323043. The reversal of 13301410323040 is 4032301410331.

It is a junction number, because it is equal to n+sod(n) for n = 13301410322996 and 13301410323014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301410323043) 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, 3995157 + ... + 6524116.

It is an arithmetic number, because the mean of its divisors is an integer number (374433558030).

Almost surely, 213301410323040 is an apocalyptic number.

13301410323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301410323040 is an abundant number, since it is smaller than the sum of its proper divisors (22644211247840).

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

13301410323040 is a wasteful number, since it uses less digits than its factorization.

13301410323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520424 (or 10520416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13301410323040 its reverse (4032301410331), we get a palindrome (17333711733371).

The spelling of 13301410323040 in words is "thirteen trillion, three hundred one billion, four hundred ten million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1129 2258 4516 5645 7903 9032 11290 15806 18064 22580 31612 36128 39515 45160 63224 79030 90320 126448 158060 180640 252896 316120 632240 1264480 10519273 21038546 42077092 52596365 73634911 84154184 105192730 147269822 168308368 210385460 294539644 336616736 368174555 420770920 589079288 736349110 841541840 1178158576 1472698220 1683083680 2356317152 2945396440 5890792880 11781585760 11876259217 23752518434 47505036868 59381296085 83133814519 95010073736 118762592170 166267629038 190020147472 237525184340 332535258076 380040294944 415669072595 475050368680 665070516152 831338145190 950100737360 1330141032304 1662676290380 1900201474720 2660282064608 3325352580760 6650705161520 13301410323040