Search a number
-
+
444103314440 = 23538337397753
BaseRepresentation
bin1100111011001101001…
…11101100110000001000
31120110022022201212201012
412131212213230300020
524234010422030230
6540003535143052
744041202613452
oct6354647546010
91513268655635
10444103314440
1116138581a2a5
12720a1374a88
1332b568465c6
14176cd6d92d2
15b843762395
hex67669ecc08

444103314440 has 64 divisors (see below), whose sum is σ = 1002238617600. Its totient is φ = 177107277312.

The previous prime is 444103314401. The next prime is 444103314449. The reversal of 444103314440 is 44413301444.

It is a junction number, because it is equal to n+sod(n) for n = 444103314397 and 444103314406.

It is not an unprimeable number, because it can be changed into a prime (444103314449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57277604 + ... + 57285356.

It is an arithmetic number, because the mean of its divisors is an integer number (15659978400).

Almost surely, 2444103314440 is an apocalyptic number.

444103314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444103314440 is an abundant number, since it is smaller than the sum of its proper divisors (558135303160).

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

444103314440 is a wasteful number, since it uses less digits than its factorization.

444103314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 444103314440 its reverse (44413301444), we get a palindrome (488516615884).

The spelling of 444103314440 in words is "four hundred forty-four billion, one hundred three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3739 3830 7478 7660 7753 14956 15320 15506 18695 29912 31012 37390 38765 62024 74780 77530 149560 155060 310120 1432037 2864074 2969399 5728148 5938798 7160185 11456296 11877596 14320370 14846995 23755192 28640740 28988467 29693990 57281480 57976934 59387980 115953868 118775960 144942335 231907736 289884670 579769340 1159538680 11102582861 22205165722 44410331444 55512914305 88820662888 111025828610 222051657220 444103314440