Search a number
-
+
430401244441 = 73153311120331
BaseRepresentation
bin1100100001101011110…
…10011100110100011001
31112010221101212121021011
412100311322130310121
524022430204310231
6525420144213521
743044513133510
oct6206572346431
91463841777234
10430401244441
11156594311303
126b4b860a2a1
1331781b8c28c
1416b8da17677
15b2e087e9b1
hex6435e9cd19

430401244441 has 32 divisors (see below), whose sum is σ = 519002505216. Its totient is φ = 349149528000.

The previous prime is 430401244439. The next prime is 430401244447. The reversal of 430401244441 is 144442104034.

It is not a de Polignac number, because 430401244441 - 21 = 430401244439 is a prime.

It is a super-2 number, since 2×4304012444412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430401244447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516646 + ... + 3636976.

It is an arithmetic number, because the mean of its divisors is an integer number (16218828288).

Almost surely, 2430401244441 is an apocalyptic number.

It is an amenable number.

430401244441 is a deficient number, since it is larger than the sum of its proper divisors (88601260775).

430401244441 is a wasteful number, since it uses less digits than its factorization.

430401244441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120733.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 430401244441 its reverse (144442104034), we get a palindrome (574843348475).

The spelling of 430401244441 in words is "four hundred thirty billion, four hundred one million, two hundred forty-four thousand, four hundred forty-one".

Divisors: 1 7 31 53 217 311 371 1643 2177 9641 11501 16483 67487 115381 120331 510973 842317 3576811 3730261 6377543 26111827 37422941 44642801 197703833 261960587 1160111171 1383926831 1983415873 8120778197 13883911111 61485892063 430401244441