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14414231401020 = 22335113976112439
BaseRepresentation
bin1101000111000001001100…
…1001000111001000111100
31220000222122120101101212000
43101300103021013020330
53342130321214313040
650353450111342300
73015252043226463
oct321602311071074
956028576341760
1014414231401020
11465804a936230
1217496a8b21990
13807343b01029
1437b91c7419da
1519ee31dd8130
hexd1c1324723c

14414231401020 has 192 divisors, whose sum is σ = 49044262579200. Its totient is φ = 3485556645120.

The previous prime is 14414231401007. The next prime is 14414231401021. The reversal of 14414231401020 is 2010413241441.

14414231401020 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 231 + 401 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414231401021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698040 + ... + 5414399.

It is an arithmetic number, because the mean of its divisors is an integer number (255438867600).

Almost surely, 214414231401020 is an apocalyptic number.

14414231401020 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 14414231401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522131289600).

14414231401020 is an abundant number, since it is smaller than the sum of its proper divisors (34630031178180).

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

14414231401020 is a wasteful number, since it uses less digits than its factorization.

14414231401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112865 (or 6112857 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14414231401020 its reverse (2010413241441), we get a palindrome (16424644642461).

The spelling of 14414231401020 in words is "fourteen trillion, four hundred fourteen billion, two hundred thirty-one million, four hundred one thousand, twenty".