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13442331455001 = 341091522520269
BaseRepresentation
bin1100001110011100100101…
…1001000010111000011001
31202121002000012011121210000
43003213021121002320121
53230214343323030001
644331153302443213
72555114335053201
oct303471131027031
952532005147700
1013442331455001
114312951735849
121611269733509
137667b63b5487
14346880291401
151849ec59da86
hexc39c9642e19

13442331455001 has 20 divisors (see below), whose sum is σ = 20264744793700. Its totient is φ = 8879338202976.

The previous prime is 13442331454991. The next prime is 13442331455023. The reversal of 13442331455001 is 10055413324431.

13442331455001 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 3 + 3 + 145 + 500 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11090098832400 + 2352232622601 = 3330180^2 + 1533699^2 .

It is not a de Polignac number, because 13442331455001 - 27 = 13442331454873 is a prime.

It is a super-2 number, since 2×134423314550012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13442331455081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 761251306 + ... + 761268963.

It is an arithmetic number, because the mean of its divisors is an integer number (1013237239685).

Almost surely, 213442331455001 is an apocalyptic number.

It is an amenable number.

13442331455001 is a deficient number, since it is larger than the sum of its proper divisors (6822413338699).

13442331455001 is a wasteful number, since it uses less digits than its factorization.

13442331455001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522520390 (or 1522520381 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13442331455001 its reverse (10055413324431), we get a palindrome (23497744779432).

The spelling of 13442331455001 in words is "thirteen trillion, four hundred forty-two billion, three hundred thirty-one million, four hundred fifty-five thousand, one".

Divisors: 1 3 9 27 81 109 327 981 2943 8829 1522520269 4567560807 13702682421 41108047263 123324141789 165954709321 497864127963 1493592383889 4480777151667 13442331455001