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314042420400010 = 25198646115809141
BaseRepresentation
bin100011101100111101011001…
…0111010011000111110001010
31112011221011101020100010201221
41013121322302322120332022
5312130232334110300020
63031525032443432254
7123101546635451221
oct10731726272307612
91464834336303657
10314042420400010
1191077708279535
122b27b63722568a
13106300c49ba473
145779a3cac1cb8
152648e6d9996aa
hex11d9eb2e98f8a

314042420400010 has 16 divisors (see below), whose sum is σ = 565276677040872. Its totient is φ = 125616896977600.

The previous prime is 314042420399927. The next prime is 314042420400017. The reversal of 314042420400010 is 10004024240413.

It can be written as a sum of positive squares in 4 ways, for example, as 312534984038281 + 1507436361729 = 17678659^2 + 1227777^2 .

It is not an unprimeable number, because it can be changed into a prime (314042420400017) 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, 11960040 + ... + 27769180.

Almost surely, 2314042420400010 is an apocalyptic number.

314042420400010 is a deficient number, since it is larger than the sum of its proper divisors (251234256640862).

314042420400010 is a wasteful number, since it uses less digits than its factorization.

314042420400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795609.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 314042420400010 its reverse (10004024240413), we get a palindrome (324046444640423).

The spelling of 314042420400010 in words is "three hundred fourteen trillion, forty-two billion, four hundred twenty million, four hundred thousand, ten".

Divisors: 1 2 5 10 1986461 3972922 9932305 15809141 19864610 31618282 79045705 158091410 31404242040001 62808484080002 157021210200005 314042420400010