Search a number
-
+
40444003344 = 24323149924439
BaseRepresentation
bin100101101010101001…
…101000010000010000
310212101121112020120210
4211222221220100100
51130312131101334
630325115204120
72631145233123
oct455251502020
9125347466523
1040444003344
1116174649358
127a08746640
133a7705c934
141d595483ba
1510ba98d5e9
hex96aa68410

40444003344 has 80 divisors (see below), whose sum is σ = 109100160000. Its totient is φ = 12886059648.

The previous prime is 40444003337. The next prime is 40444003349. The reversal of 40444003344 is 44330044404.

It is not an unprimeable number, because it can be changed into a prime (40444003349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642677 + ... + 1667115.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752000).

Almost surely, 240444003344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54550080000).

40444003344 is an abundant number, since it is smaller than the sum of its proper divisors (68656156656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40444003344 is a wasteful number, since it uses less digits than its factorization.

40444003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25972 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 40444003344 its reverse (44330044404), we get a palindrome (84774047748).

The spelling of 40444003344 in words is "forty billion, four hundred forty-four million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1499 2998 4497 5996 8994 11992 17988 23984 24439 34477 35976 48878 68954 71952 73317 97756 103431 137908 146634 195512 206862 275816 293268 391024 413724 551632 562097 586536 827448 1124194 1173072 1654896 1686291 2248388 3372582 4496776 6745164 8993552 13490328 26980656 36634061 73268122 109902183 146536244 219804366 293072488 439608732 586144976 842583403 879217464 1685166806 1758434928 2527750209 3370333612 5055500418 6740667224 10111000836 13481334448 20222001672 40444003344