Search a number
-
+
434441041001 = 11177386336877
BaseRepresentation
bin1100101001001101011…
…01000011010001101001
31112112100221110112022222
412110212231003101221
524104213401303001
6531325055123425
743246565630162
oct6244655032151
91475327415288
10434441041001
11158277707250
1270245513575
1331c76b05a46
141705436a769
15b47a36661b
hex6526b43469

434441041001 has 32 divisors (see below), whose sum is σ = 509291670528. Its totient is φ = 366187530240.

The previous prime is 434441040997. The next prime is 434441041127. The reversal of 434441041001 is 100140144434.

It is a cyclic number.

It is not a de Polignac number, because 434441041001 - 22 = 434441040997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434441041301) 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, 11762375 + ... + 11799251.

It is an arithmetic number, because the mean of its divisors is an integer number (15915364704).

Almost surely, 2434441041001 is an apocalyptic number.

It is an amenable number.

434441041001 is a deficient number, since it is larger than the sum of its proper divisors (74850629527).

434441041001 is a wasteful number, since it uses less digits than its factorization.

434441041001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37841.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 434441041001 its reverse (100140144434), we get a palindrome (534581185435).

The spelling of 434441041001 in words is "four hundred thirty-four billion, four hundred forty-one million, forty-one thousand, one".

Divisors: 1 11 17 73 187 803 863 1241 9493 13651 14671 36877 62999 161381 405647 626909 692989 1070983 2692021 6895999 11780813 29612231 31824851 45764357 350073361 503407927 541022467 2323214123 5951247137 25555355353 39494640091 434441041001