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4023014200001 = 417110871271393
BaseRepresentation
bin111010100010101110010…
…101010001001011000001
3112020121002202222012020222
4322202232111101023001
51011403113113400001
612320051444112425
7563440020324116
oct72425625211301
915217082865228
104023014200001
1113111726aa775
1254b82b395715
132324a3aba064
14dca01a8690d
156e9ab67261b
hex3a8ae5512c1

4023014200001 has 16 divisors (see below), whose sum is σ = 4183028656128. Its totient is φ = 3866048793600.

The previous prime is 4023014199979. The next prime is 4023014200013. The reversal of 4023014200001 is 1000024103204.

It is a cyclic number.

It is not a de Polignac number, because 4023014200001 - 26 = 4023014199937 is a prime.

It is a super-3 number, since 3×40230142000013 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4023014200901) 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 15 ways as a sum of consecutive naturals, for example, 2528561 + ... + 3799953.

It is an arithmetic number, because the mean of its divisors is an integer number (261439291008).

Almost surely, 24023014200001 is an apocalyptic number.

4023014200001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4023014200001 is a deficient number, since it is larger than the sum of its proper divisors (160014456127).

4023014200001 is a wasteful number, since it uses less digits than its factorization.

4023014200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272592.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 4023014200001 its reverse (1000024103204), we get a palindrome (5023038303205).

The spelling of 4023014200001 in words is "four trillion, twenty-three billion, fourteen million, two hundred thousand, one".

Divisors: 1 41 71 1087 2911 44567 77177 1271393 3164257 52127113 90268903 1382004191 3701025023 56662171831 98122297561 4023014200001