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4159842117120 = 2935512295441
BaseRepresentation
bin111100100010001001111…
…010010110011000000000
3112201200021112211120100000
4330202021322112120000
51021123324040221440
612503001033200000
7606352523405304
oct74421172263000
915650245746300
104159842117120
1113641a7479008
12572256860000
1324236b436421
141054a1cb5d04
1573318b5c730
hex3c889e96600

4159842117120 has 480 divisors, whose sum is σ = 14955189369120. Its totient is φ = 1108184924160.

The previous prime is 4159842117097. The next prime is 4159842117127. The reversal of 4159842117120 is 217112489514.

It is a happy number.

4159842117120 is a `hidden beast` number, since 4 + 1 + 5 + 98 + 421 + 17 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4159842117127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 764533600 + ... + 764539040.

It is an arithmetic number, because the mean of its divisors is an integer number (31156644519).

Almost surely, 24159842117120 is an apocalyptic number.

4159842117120 is a gapful number since it is divisible by the number (40) 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 4159842117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477594684560).

4159842117120 is an abundant number, since it is smaller than the sum of its proper divisors (10795347252000).

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

4159842117120 is an equidigital number, since it uses as much as digits as its factorization.

4159842117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 4159842117120 in words is "four trillion, one hundred fifty-nine billion, eight hundred forty-two million, one hundred seventeen thousand, one hundred twenty".