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434440442401 = 7237336964217
BaseRepresentation
bin1100101001001101010…
…10110001001000100001
31112112100220100010012121
412110212222301020201
524104213223124101
6531325034224241
743246560555040
oct6244652611041
91475326303177
10434440442401
11158277338539
1270245285081
1331c76956444
1417054252557
15b47a2990a1
hex6526ab1221

434440442401 has 16 divisors (see below), whose sum is σ = 525187609344. Its totient is φ = 351307908864.

The previous prime is 434440442393. The next prime is 434440442407. The reversal of 434440442401 is 104244044434.

It is a cyclic number.

It is not a de Polignac number, because 434440442401 - 23 = 434440442393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434440442407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18470356 + ... + 18493861.

It is an arithmetic number, because the mean of its divisors is an integer number (32824225584).

Almost surely, 2434440442401 is an apocalyptic number.

It is an amenable number.

434440442401 is a deficient number, since it is larger than the sum of its proper divisors (90747166943).

434440442401 is a wasteful number, since it uses less digits than its factorization.

434440442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36964320.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 434440442401 its reverse (104244044434), we get a palindrome (538684486835).

The spelling of 434440442401 in words is "four hundred thirty-four billion, four hundred forty million, four hundred forty-two thousand, four hundred one".

Divisors: 1 7 23 73 161 511 1679 11753 36964217 258749519 850176991 2698387841 5951238937 18888714887 62062920343 434440442401