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14153445109440 = 2635572132959167
BaseRepresentation
bin1100110111110101101100…
…0100010110111011000000
31212010001111220222011100000
43031331123010112323000
53323342223422000230
650034000344200000
72660360364304500
oct315753304267300
955101456864300
1014153445109440
11456749586a51a
121707048169000
137b88831915b0
1436d05d5ada00
1519826c195b60
hexcdf5b116ec0

14153445109440 has 4032 divisors, whose sum is σ = 66933114393600. Its totient is φ = 2817407287296.

The previous prime is 14153445109343. The next prime is 14153445109471. The reversal of 14153445109440 is 4490154435141.

14153445109440 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 3 + 4 + 4 + 510 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×141534451094403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 84751168237 + ... + 84751168403.

It is an arithmetic number, because the mean of its divisors is an integer number (16600474800).

Almost surely, 214153445109440 is an apocalyptic number.

14153445109440 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 14153445109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33466557196800).

14153445109440 is an abundant number, since it is smaller than the sum of its proper divisors (52779669284160).

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

14153445109440 is a wasteful number, since it uses less digits than its factorization.

14153445109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 14153445109440 in words is "fourteen trillion, one hundred fifty-three billion, four hundred forty-five million, one hundred nine thousand, four hundred forty".