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13113431040240 = 243356071032889
BaseRepresentation
bin1011111011010011010101…
…1001100010000011110000
31201102122001120000102001000
42332310311121202003300
53204322301321241430
643520121013242000
72522262021466536
oct276646531420360
951378046012030
1013113431040240
1141a6413a57153
121579579633300
1374178bc5873b
1433499cb76156
1517b19cab8e60
hexbed356620f0

13113431040240 has 80 divisors (see below), whose sum is σ = 45168484701600. Its totient is φ = 3496914943488.

The previous prime is 13113431040139. The next prime is 13113431040379. The reversal of 13113431040240 is 4204013431131.

13113431040240 is a `hidden beast` number, since 1 + 31 + 1 + 343 + 10 + 40 + 240 = 666.

13113431040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035514285 + ... + 3035518604.

It is an arithmetic number, because the mean of its divisors is an integer number (564606058770).

Almost surely, 213113431040240 is an apocalyptic number.

13113431040240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113431040240 is an abundant number, since it is smaller than the sum of its proper divisors (32055053661360).

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

13113431040240 is a wasteful number, since it uses less digits than its factorization.

13113431040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071032911 (or 6071032899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13113431040240 its reverse (4204013431131), we get a palindrome (17317444471371).

The spelling of 13113431040240 in words is "thirteen trillion, one hundred thirteen billion, four hundred thirty-one million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6071032889 12142065778 18213098667 24284131556 30355164445 36426197334 48568263112 54639296001 60710328890 72852394668 91065493335 97136526224 109278592002 121420657780 145704789336 163917888003 182130986670 218557184004 242841315560 273196480005 291409578672 327835776006 364261973340 437114368008 485682631120 546392960010 655671552012 728523946680 819589440015 874228736016 1092785920020 1311343104024 1457047893360 1639178880030 2185571840040 2622686208048 3278357760060 4371143680080 6556715520120 13113431040240