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13842412720 = 2451597108347
BaseRepresentation
bin11001110010001001…
…00111010010110000
31022201200221102110121
430321010213102300
5211322124201340
610205322540024
71000012365253
oct147104472260
938650842417
1013842412720
115963754614
122823967614
1313c7a84676
149545b509a
155603a594a
hex3391274b0

13842412720 has 40 divisors (see below), whose sum is σ = 32204059344. Its totient is φ = 5533446912.

The previous prime is 13842412709. The next prime is 13842412729. The reversal of 13842412720 is 2721424831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×138424127203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13842412729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73587 + ... + 181933.

Almost surely, 213842412720 is an apocalyptic number.

13842412720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842412720 is an abundant number, since it is smaller than the sum of its proper divisors (18361646624).

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

13842412720 is a wasteful number, since it uses less digits than its factorization.

13842412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109957 (or 109951 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 13842412720 in words is "thirteen billion, eight hundred forty-two million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1597 3194 6388 7985 12776 15970 25552 31940 63880 108347 127760 216694 433388 541735 866776 1083470 1733552 2166940 4333880 8667760 173030159 346060318 692120636 865150795 1384241272 1730301590 2768482544 3460603180 6921206360 13842412720