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13143300551040 = 2735111274900121
BaseRepresentation
bin1011111101000010100111…
…0000101011000110000000
31201112111011012202202212210
42333100221300223012000
53210314434420113130
643541540544422120
72524400145236442
oct277205160530600
951474135682783
1013143300551040
114208051574770
121583314917940
1374453c29349a
143361d3b34492
1517bd4a0195b0
hexbf429c2b180

13143300551040 has 256 divisors, whose sum is σ = 46062714839040. Its totient is φ = 3161165414400.

The previous prime is 13143300550979. The next prime is 13143300551053. The reversal of 13143300551040 is 4015500334131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13143300550989 and 13143300551007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 232180 + ... + 5132300.

It is an arithmetic number, because the mean of its divisors is an integer number (179932479840).

Almost surely, 213143300551040 is an apocalyptic number.

13143300551040 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 13143300551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031357419520).

13143300551040 is an abundant number, since it is smaller than the sum of its proper divisors (32919414288000).

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

13143300551040 is a wasteful number, since it uses less digits than its factorization.

13143300551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900281 (or 4900269 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13143300551040 its reverse (4015500334131), we get a palindrome (17158800885171).

The spelling of 13143300551040 in words is "thirteen trillion, one hundred forty-three billion, three hundred million, five hundred fifty-one thousand, forty".