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13413911101740 = 22325177960739137
BaseRepresentation
bin1100001100110010101101…
…1010000000000100101100
31202111100122112021002100200
43003030223122000010230
53224233142220223430
644310133215553500
72553060136044342
oct303145332000454
952440575232320
1013413911101740
114301898131796
12160785782b890
13763c0737acb6
1434534595d992
15183dd74a3460
hexc332b68012c

13413911101740 has 288 divisors, whose sum is σ = 43639631642880. Its totient is φ = 3323102035968.

The previous prime is 13413911101733. The next prime is 13413911101771. The reversal of 13413911101740 is 4710111931431.

13413911101740 is a `hidden beast` number, since 1 + 3 + 413 + 91 + 110 + 1 + 7 + 40 = 666.

It is a super-2 number, since 2×134139111017402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13413911101695 and 13413911101704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468082452 + ... + 1468091588.

It is an arithmetic number, because the mean of its divisors is an integer number (151526498760).

Almost surely, 213413911101740 is an apocalyptic number.

13413911101740 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 13413911101740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21819815821440).

13413911101740 is an abundant number, since it is smaller than the sum of its proper divisors (30225720541140).

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

13413911101740 is a wasteful number, since it uses less digits than its factorization.

13413911101740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13413911101740 in words is "thirteen trillion, four hundred thirteen billion, nine hundred eleven million, one hundred one thousand, seven hundred forty".