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4411230511441 = 132891972935081
BaseRepresentation
bin100000000110001000111…
…0100111110000101010001
3120121201011020110011102011
41000030101310332011101
51034233200002331231
613214254043022521
7633462255453025
oct100142164760521
916551136404364
104411230511441
111450879694486
125b2b1420aa41
1325cc9203c400
1411370cc58385
1579b2d7c79b1
hex40311d3e151

4411230511441 has 48 divisors (see below), whose sum is σ = 4872375834480. Its totient is φ = 3991258951680.

The previous prime is 4411230511433. The next prime is 4411230511447. The reversal of 4411230511441 is 1441150321144.

It can be written as a sum of positive squares in 24 ways, for example, as 2910350700625 + 1500879810816 = 1705975^2 + 1225104^2 .

It is not a de Polignac number, because 4411230511441 - 23 = 4411230511433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4411230511447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868179021 + ... + 868184101.

It is an arithmetic number, because the mean of its divisors is an integer number (101507829885).

Almost surely, 24411230511441 is an apocalyptic number.

It is an amenable number.

4411230511441 is a deficient number, since it is larger than the sum of its proper divisors (461145323039).

4411230511441 is a wasteful number, since it uses less digits than its factorization.

4411230511441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 4411230511441 its reverse (1441150321144), we get a palindrome (5852380832585).

The spelling of 4411230511441 in words is "four trillion, four hundred eleven billion, two hundred thirty million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 13 89 169 197 293 1157 2561 3809 5081 15041 17533 26077 33293 49517 57721 66053 227929 339001 452209 750373 858689 1000957 1488733 2963077 4407013 5137169 5878717 9754849 13012441 19353529 66783197 76423321 89085173 132497237 169161733 251595877 293280401 868181561 1158107249 1722464081 3812645213 15055394237 22392033053 26101955689 49564387769 339325423957 4411230511441