Search a number
-
+
10044312040 = 235725124649
BaseRepresentation
bin10010101101011000…
…00000100111101000
3221221000010220211001
421112230000213220
5131032320441130
64340404244344
7503623146400
oct112654004750
927830126731
1010044312040
114294830334
121b439a06b4
13c40c33909
146b3db9800
153dbc126ca
hex256b009e8

10044312040 has 48 divisors (see below), whose sum is σ = 26289454500. Its totient is φ = 3443763456.

The previous prime is 10044312001. The next prime is 10044312053. The reversal of 10044312040 is 4021344001.

It can be written as a sum of positive squares in 2 ways, for example, as 9888711364 + 155600676 = 99442^2 + 12474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10044311999 and 10044312017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2560365 + ... + 2564284.

Almost surely, 210044312040 is an apocalyptic number.

10044312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044312040 is an abundant number, since it is smaller than the sum of its proper divisors (16245142460).

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

10044312040 is a wasteful number, since it uses less digits than its factorization.

10044312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124674 (or 5124663 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10044312040 its reverse (4021344001), we get a palindrome (14065656041).

The spelling of 10044312040 in words is "ten billion, forty-four million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5124649 10249298 20498596 25623245 35872543 40997192 51246490 71745086 102492980 143490172 179362715 204985960 251107801 286980344 358725430 502215602 717450860 1004431204 1255539005 1434901720 2008862408 2511078010 5022156020 10044312040