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420001431031023 = 31929713578652821
BaseRepresentation
bin101111101111111010011010…
…0000110100000110011101111
32001002002202002212110112022120
41133133310310012200303233
5420022300412320443043
64045133554353044023
7154316046665351322
oct13737646406406357
92032082085415276
10420001431031023
111119096744474a6
123b133111556613
1315047c711565ba
1475a026b9747b9
153385303938983
hex17dfd341a0cef

420001431031023 has 32 divisors (see below), whose sum is σ = 618391207641600. Its totient is φ = 252509742979200.

The previous prime is 420001431031009. The next prime is 420001431031073. The reversal of 420001431031023 is 320130134100024.

It is a happy number.

It is not a de Polignac number, because 420001431031023 - 212 = 420001431026927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420001431030984 and 420001431031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420001431031073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789209048 + ... + 1789443773.

It is an arithmetic number, because the mean of its divisors is an integer number (19324725238800).

Almost surely, 2420001431031023 is an apocalyptic number.

420001431031023 is a deficient number, since it is larger than the sum of its proper divisors (198389776610577).

420001431031023 is a wasteful number, since it uses less digits than its factorization.

420001431031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578652943.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 420001431031023 its reverse (320130134100024), we get a palindrome (740131565131047).

The spelling of 420001431031023 in words is "four hundred twenty trillion, one billion, four hundred thirty-one million, thirty-one thousand, twenty-three".

Divisors: 1 3 19 29 57 71 87 213 551 1349 1653 2059 4047 6177 39121 117363 3578652821 10735958463 67994403599 103780931809 203983210797 254084350291 311342795427 762253050873 1971837704371 4827602655529 5915513113113 7368446158439 14482807966587 22105338475317 140000477010341 420001431031023