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13229054803440 = 2434571739074391
BaseRepresentation
bin1100000010000010000100…
…0111001011110111110000
31201211200111120112011020000
43000200201013023313300
53213221101012202230
644045202135550000
72533524211325220
oct300404107136760
951750446464200
1013229054803440
114240457612843
121597a6782b300
1374c6575b0078
1433a40abcc080
1517e1b877bb60
hexc08211cbdf0

13229054803440 has 800 divisors, whose sum is σ = 55625982280704. Its totient is φ = 2844537937920.

The previous prime is 13229054803421. The next prime is 13229054803541. The reversal of 13229054803440 is 4430845092231.

13229054803440 is a `hidden beast` number, since 1 + 3 + 229 + 0 + 5 + 4 + 80 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3012763645 + ... + 3012768035.

Almost surely, 213229054803440 is an apocalyptic number.

13229054803440 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 13229054803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27812991140352).

13229054803440 is an abundant number, since it is smaller than the sum of its proper divisors (42396927477264).

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

13229054803440 is a wasteful number, since it uses less digits than its factorization.

13229054803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 13229054803440 its reverse (4430845092231), we get a palindrome (17659899895671).

The spelling of 13229054803440 in words is "thirteen trillion, two hundred twenty-nine billion, fifty-four million, eight hundred three thousand, four hundred forty".