Search a number
-
+
481433042321 = 721110328333061
BaseRepresentation
bin1110000000101111010…
…01010011110110010001
31201000122220012112111022
413000113221103312101
530341433324323241
61005100044525225
746532234224400
oct7002751236621
91630586175438
10481433042321
111761a1446380
127937ab50815
133652562059a
14194313b1637
15c7caad754b
hex7017a53d91

481433042321 has 48 divisors (see below), whose sum is σ = 617297436288. Its totient is φ = 371248012800.

The previous prime is 481433042317. The next prime is 481433042333. The reversal of 481433042321 is 123240334184.

It is not a de Polignac number, because 481433042321 - 22 = 481433042317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481433042341) 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 47 ways as a sum of consecutive naturals, for example, 157278131 + ... + 157281191.

It is an arithmetic number, because the mean of its divisors is an integer number (12860363256).

Almost surely, 2481433042321 is an apocalyptic number.

It is an amenable number.

481433042321 is a deficient number, since it is larger than the sum of its proper divisors (135864393967).

481433042321 is a wasteful number, since it uses less digits than its factorization.

481433042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 481433042321 in words is "four hundred eighty-one billion, four hundred thirty-three million, forty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 103 539 721 1133 2833 3061 5047 7931 19831 21427 31163 33671 55517 138817 149989 218141 235697 291799 315283 1526987 1649879 2042593 2206981 3209789 3468113 8671813 14298151 15448867 22468523 24276791 60702691 95389943 157279661 169937537 424918837 667729601 893196739 4674107207 6252377173 9825164129 43766640211 68776148903 481433042321