Search a number
-
+
403324430041 = 13217891577353
BaseRepresentation
bin1011101111010000000…
…00100110011011011001
31102120001101001220200101
411313220000212123121
523102002023230131
6505141254135401
741065520042611
oct5675000463331
91376041056611
10403324430041
1114605a142945
1266200651561
132c0582c5300
14157418dba41
15a7586c4c61
hex5de80266d9

403324430041 has 24 divisors (see below), whose sum is σ = 467622366840. Its totient is φ = 346462212096.

The previous prime is 403324429987. The next prime is 403324430057. The reversal of 403324430041 is 140034423304.

It can be written as a sum of positive squares in 12 ways, for example, as 137625418441 + 265699011600 = 370979^2 + 515460^2 .

It is not a de Polignac number, because 403324430041 - 213 = 403324421849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 403324429991 and 403324430009.

It is not an unprimeable number, because it can be changed into a prime (403324430081) 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 23 ways as a sum of consecutive naturals, for example, 532980 + ... + 1044373.

It is an arithmetic number, because the mean of its divisors is an integer number (19484265285).

Almost surely, 2403324430041 is an apocalyptic number.

It is an amenable number.

403324430041 is a deficient number, since it is larger than the sum of its proper divisors (64297936799).

403324430041 is a wasteful number, since it uses less digits than its factorization.

403324430041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577485 (or 1577472 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 403324430041 its reverse (140034423304), we get a palindrome (543358853345).

The spelling of 403324430041 in words is "four hundred three billion, three hundred twenty-four million, four hundred thirty thousand, forty-one".

Divisors: 1 13 17 89 169 221 1157 1513 2873 15041 19669 255697 1577353 20505589 26815001 140384417 266572657 348595013 1824997421 2386535089 4531735169 23724966473 31024956157 403324430041