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140012022400420 = 22541170746368781
BaseRepresentation
bin11111110101011100010110…
…110111000000010110100100
3200100202000111120111202112211
4133311130112313000112210
5121322424110213303140
61213440345104453204
741330351303020132
oct3765342667002644
9610660446452484
10140012022400420
11406808465a2665
121385332701a204
1360181003b90c1
142680891c9a752
15112c079bd42ea
hex7f5716dc05a4

140012022400420 has 24 divisors (see below), whose sum is σ = 301196594531448. Its totient is φ = 54638838009600.

The previous prime is 140012022400391. The next prime is 140012022400427. The reversal of 140012022400420 is 24004220210041.

It can be written as a sum of positive squares in 4 ways, for example, as 12597232350564 + 127414790049856 = 3549258^2 + 11287816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140012022400391 and 140012022400400.

It is not an unprimeable number, because it can be changed into a prime (140012022400427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85373183571 + ... + 85373185210.

It is an arithmetic number, because the mean of its divisors is an integer number (12549858105477).

Almost surely, 2140012022400420 is an apocalyptic number.

140012022400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012022400420 is an abundant number, since it is smaller than the sum of its proper divisors (161184572131028).

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

140012022400420 is a wasteful number, since it uses less digits than its factorization.

140012022400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170746368831 (or 170746368829 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 140012022400420 its reverse (24004220210041), we get a palindrome (164016242610461).

The spelling of 140012022400420 in words is "one hundred forty trillion, twelve billion, twenty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 170746368781 341492737562 682985475124 853731843905 1707463687810 3414927375620 7000601120021 14001202240042 28002404480084 35003005600105 70006011200210 140012022400420