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13003243044000 = 2535311971015561
BaseRepresentation
bin1011110100111000110110…
…1011101011110010100000
31201001002122100212020022020
42331032031223223302200
53201021120204402000
643353335110141440
72511311325125226
oct275161553536240
951032570766266
1013003243044000
11416370a782750
121560147951880
1373427b818171
1432d508a16b16
1517839e238ba0
hexbd38daebca0

13003243044000 has 384 divisors, whose sum is σ = 46950357452544. Its totient is φ = 3119800320000.

The previous prime is 13003243043977. The next prime is 13003243044049. The reversal of 13003243044000 is 44034230031.

It is a super-2 number, since 2×130032430440002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12296220 + ... + 13311780.

It is an arithmetic number, because the mean of its divisors is an integer number (122266555866).

Almost surely, 213003243044000 is an apocalyptic number.

13003243044000 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 13003243044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475178726272).

13003243044000 is an abundant number, since it is smaller than the sum of its proper divisors (33947114408544).

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

13003243044000 is a wasteful number, since it uses less digits than its factorization.

13003243044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015697 (or 1015679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13003243044000 its reverse (44034230031), we get a palindrome (13047277274031).

The spelling of 13003243044000 in words is "thirteen trillion, three billion, two hundred forty-three million, forty-four thousand".