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13140311421240 = 233251923691120877
BaseRepresentation
bin1011111100110111011110…
…0110000011000100111000
31201112012102220012020122200
42333031313212003010320
53210242324210434430
643540324205150200
72524233111116343
oct277156746030470
951465386166580
1013140311421240
114206858259263
12158281b85b360
13744183c16923
14335dccb5b45a
1517bc228c1460
hexbf377983138

13140311421240 has 384 divisors, whose sum is σ = 46976478681600. Its totient is φ = 3170703191040.

The previous prime is 13140311421227. The next prime is 13140311421271. The reversal of 13140311421240 is 4212411304131.

It is a happy number.

13140311421240 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 1 + 1 + 4 + 212 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108647682 + ... + 108768558.

It is an arithmetic number, because the mean of its divisors is an integer number (122334579900).

Almost surely, 213140311421240 is an apocalyptic number.

13140311421240 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 13140311421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488239340800).

13140311421240 is an abundant number, since it is smaller than the sum of its proper divisors (33836167260360).

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

13140311421240 is a wasteful number, since it uses less digits than its factorization.

13140311421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121627 (or 121620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13140311421240 its reverse (4212411304131), we get a palindrome (17352722725371).

The spelling of 13140311421240 in words is "thirteen trillion, one hundred forty billion, three hundred eleven million, four hundred twenty-one thousand, two hundred forty".