Search a number
-
+
2441314512441 = 32741945146927
BaseRepresentation
bin100011100001101001101…
…011110010111000111001
322122101110101221220112100
4203201221223302320321
5304444303003344231
65105305134334013
7341244022652460
oct43415153627071
98571411856470
102441314512441
118613a0440942
1233518735a309
131492a43a167c
1486235a3b9d7
15437869b81e6
hex23869af2e39

2441314512441 has 24 divisors (see below), whose sum is σ = 4128401781504. Its totient is φ = 1361011573440.

The previous prime is 2441314512409. The next prime is 2441314512487. The reversal of 2441314512441 is 1442154131442.

2441314512441 is a `hidden beast` number, since 2 + 4 + 4 + 131 + 4 + 512 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 2441314512441 - 25 = 2441314512409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2441314512396 and 2441314512405.

It is not an unprimeable number, because it can be changed into a prime (2441314512401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472570881 + ... + 472576046.

It is an arithmetic number, because the mean of its divisors is an integer number (172016740896).

Almost surely, 22441314512441 is an apocalyptic number.

2441314512441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2441314512441 is a deficient number, since it is larger than the sum of its proper divisors (1687087269063).

2441314512441 is a wasteful number, since it uses less digits than its factorization.

2441314512441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945146981 (or 945146978 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 2441314512441 its reverse (1442154131442), we get a palindrome (3883468643883).

The spelling of 2441314512441 in words is "two trillion, four hundred forty-one billion, three hundred fourteen million, five hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 945146927 2835440781 6616028489 8506322343 19848085467 38751024007 59544256401 116253072021 271257168049 348759216063 813771504147 2441314512441