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13343641000 = 235315118831
BaseRepresentation
bin11000110110101011…
…11100110110101000
31021102221102012021221
430123111330312220
5204311433003000
610044024311424
7651445035304
oct143325746650
937387365257
1013343641000
115728156a88
122704912574
13134863c681
1490825cd04
155316d161a
hex31b57cda8

13343641000 has 64 divisors (see below), whose sum is σ = 31248322560. Its totient is φ = 5333320000.

The previous prime is 13343640971. The next prime is 13343641049. The reversal of 13343641000 is 14634331.

It is a happy number.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1506585 + ... + 1515415.

It is an arithmetic number, because the mean of its divisors is an integer number (488255040).

Almost surely, 213343641000 is an apocalyptic number.

13343641000 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 13343641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

13343641000 is an abundant number, since it is smaller than the sum of its proper divisors (17904681560).

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

13343641000 is a wasteful number, since it uses less digits than its factorization.

13343641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10349 counting only the distinct ones).

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

The spelling of 13343641000 in words is "thirteen billion, three hundred forty-three million, six hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1511 3022 6044 7555 8831 12088 15110 17662 30220 35324 37775 44155 60440 70648 75550 88310 151100 176620 188875 220775 302200 353240 377750 441550 755500 883100 1103875 1511000 1766200 2207750 4415500 8831000 13343641 26687282 53374564 66718205 106749128 133436410 266872820 333591025 533745640 667182050 1334364100 1667955125 2668728200 3335910250 6671820500 13343641000