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140414224344300 = 223252156015804827
BaseRepresentation
bin11111111011010010111011…
…111101101010010011101100
3200102011110122201102110200200
4133323102323331222103230
5121401021312413004200
61214345223144153500
741401410243104454
oct3773227375522354
9612143581373620
10140414224344300
114081637a061a95
12138b9273768890
136047009c897ca
142696128684d64
151137769a80800
hex7fb4bbf6a4ec

140414224344300 has 54 divisors (see below), whose sum is σ = 440120585419788. Its totient is φ = 37443793158240.

The previous prime is 140414224344281. The next prime is 140414224344379. The reversal of 140414224344300 is 3443422414041.

140414224344300 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 1 + 4 + 2 + 2 + 4 + 344 + 300 = 666.

It is a super-2 number, since 2×1404142243443002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78007901514 + ... + 78007903313.

Almost surely, 2140414224344300 is an apocalyptic number.

140414224344300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414224344300 is an abundant number, since it is smaller than the sum of its proper divisors (299706361075488).

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

140414224344300 is a wasteful number, since it uses less digits than its factorization.

140414224344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156015804847 (or 156015804837 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 140414224344300 its reverse (3443422414041), we get a palindrome (143857646758341).

The spelling of 140414224344300 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred twenty-four million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 156015804827 312031609654 468047414481 624063219308 780079024135 936094828962 1404142243443 1560158048270 1872189657924 2340237072405 2808284486886 3120316096540 3900395120675 4680474144810 5616568973772 7020711217215 7800790241350 9360948289620 11701185362025 14041422434430 15601580482700 23402370724050 28082844868860 35103556086075 46804741448100 70207112172150 140414224344300