Search a number
-
+
471226320000 = 2732548092
BaseRepresentation
bin1101101101101110100…
…01110000010010000000
31200001022120110022122200
412312313101300102000
530210032414220000
61000251155233200
746021266426432
oct6666721602200
91601276408580
10471226320000
11171933a77877
12773b08a8800
1335589b64117
1418b439da652
15c3ce9e3500
hex6db7470480

471226320000 has 360 divisors, whose sum is σ = 1696558228365. Its totient is φ = 125505024000.

The previous prime is 471226319969. The next prime is 471226320001. The reversal of 471226320000 is 23622174.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

471226320000 is a `hidden beast` number, since 4 + 7 + 1 + 22 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10272227904 + 460954092096 = 101352^2 + 678936^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=485400.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (471226320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 582479596 + ... + 582480404.

Almost surely, 2471226320000 is an apocalyptic number.

471226320000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471226320000

471226320000 is an abundant number, since it is smaller than the sum of its proper divisors (1225331908365).

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

471226320000 is an frugal number, since it uses more digits than its factorization.

471226320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 471226320000 its reverse (23622174), we get a palindrome (471249942174).

The spelling of 471226320000 in words is "four hundred seventy-one billion, two hundred twenty-six million, three hundred twenty thousand".