Search a number
-
+
434396821008 = 2439049933771
BaseRepresentation
bin1100101001001000001…
…00010111011000010000
31112112020212020220220110
412110210010113120100
524104121041233013
6531320435241320
743245521025003
oct6244404273020
91475225226813
10434396821008
111582547540a7
1270232749240
1331c6a8c2477
141704c53953a
15b47652e2c3
hex6524117610

434396821008 has 20 divisors (see below), whose sum is σ = 1122191787728. Its totient is φ = 144798940320.

The previous prime is 434396820983. The next prime is 434396821031. The reversal of 434396821008 is 800128693434.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 9049933771 = 434396821008 / (4 + 3 + 4 + 3 + 9 + 6 + 8 + 2 + 1 + 0 + 0 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4524966838 + ... + 4524966933.

Almost surely, 2434396821008 is an apocalyptic number.

434396821008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

434396821008 is an abundant number, since it is smaller than the sum of its proper divisors (687794966720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434396821008 is a wasteful number, since it uses less digits than its factorization.

434396821008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9049933782 (or 9049933776 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 434396821008 in words is "four hundred thirty-four billion, three hundred ninety-six million, eight hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 9049933771 18099867542 27149801313 36199735084 54299602626 72399470168 108599205252 144798940336 217198410504 434396821008