Search a number
-
+
431430253210331 = 1741618981711923
BaseRepresentation
bin110001000011000100010111…
…0111111001110101011011011
32002120120022220010200222202022
41202012020232333032223123
5423022023124310212311
64125324153332125055
7156605543602123154
oct14206105677165333
92076508803628668
10431430253210331
111155155a7634701
124047a0a6a6678b
131569691025394b
14787749b11c92b
1534d275700b5db
hex188622efceadb

431430253210331 has 8 divisors (see below), whose sum is σ = 467950174214544. Its totient is φ = 396148295630080.

The previous prime is 431430253210321. The next prime is 431430253210361. The reversal of 431430253210331 is 133012352034134.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431430253210331 - 218 = 431430252948187 is a prime.

It is a super-2 number, since 2×4314302532103312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431430253210291 and 431430253210300.

It is not an unprimeable number, because it can be changed into a prime (431430253210321) 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, 309490855265 + ... + 309490856658.

It is an arithmetic number, because the mean of its divisors is an integer number (58493771776818).

Almost surely, 2431430253210331 is an apocalyptic number.

431430253210331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

431430253210331 is a deficient number, since it is larger than the sum of its proper divisors (36519921004213).

431430253210331 is a wasteful number, since it uses less digits than its factorization.

431430253210331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618981711981.

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 431430253210331 in words is "four hundred thirty-one trillion, four hundred thirty billion, two hundred fifty-three million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 17 41 697 618981711923 10522689102691 25378250188843 431430253210331