Search a number
-
+
434023352001 = 3318018925563
BaseRepresentation
bin1100101000011011100…
…11101100011011000001
31112111021211111201202000
412110031303230123001
524102334434231001
6531215414414213
743233334423041
oct6241563543301
91474254451660
10434023352001
1115808295a328
1270149661369
1331c0b40cba5
1417014abd721
15b45385ba86
hex650dcec6c1

434023352001 has 16 divisors (see below), whose sum is σ = 643354653120. Its totient is φ = 289188208800.

The previous prime is 434023351981. The next prime is 434023352003. The reversal of 434023352001 is 100253320434.

434023352001 is a `hidden beast` number, since 434 + 0 + 23 + 3 + 5 + 200 + 1 = 666.

It is not a de Polignac number, because 434023352001 - 225 = 433989797569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (434023352003) 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, 4414155 + ... + 4511408.

It is an arithmetic number, because the mean of its divisors is an integer number (40209665820).

Almost surely, 2434023352001 is an apocalyptic number.

It is an amenable number.

434023352001 is a deficient number, since it is larger than the sum of its proper divisors (209331301119).

434023352001 is a wasteful number, since it uses less digits than its factorization.

434023352001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927373 (or 8927367 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 434023352001 its reverse (100253320434), we get a palindrome (534276672435).

The spelling of 434023352001 in words is "four hundred thirty-four billion, twenty-three million, three hundred fifty-two thousand, one".

Divisors: 1 3 9 27 1801 5403 16209 48627 8925563 26776689 80330067 240990201 16074938963 48224816889 144674450667 434023352001