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40244040040 = 23531227142973
BaseRepresentation
bin100101011110101110…
…110101000101101000
310211212200021001111111
4211132232311011220
51124404433240130
630253213240104
72623166460541
oct453656650550
9124780231444
1040244040040
1116081790a26
127971793034
133a447b9259
141d3ab754c8
1510a814002a
hex95ebb5168

40244040040 has 64 divisors (see below), whose sum is σ = 93882447360. Its totient is φ = 15509602560.

The previous prime is 40244040017. The next prime is 40244040059. The reversal of 40244040040 is 4004044204.

It is a super-2 number, since 2×402440400402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40244039993 and 40244040020.

It is an unprimeable number.

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, 209994 + ... + 352966.

It is an arithmetic number, because the mean of its divisors is an integer number (1466913240).

Almost surely, 240244040040 is an apocalyptic number.

40244040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46941223680).

40244040040 is an abundant number, since it is smaller than the sum of its proper divisors (53638407320).

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

40244040040 is a wasteful number, since it uses less digits than its factorization.

40244040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143242 (or 143238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40244040040 its reverse (4004044204), we get a palindrome (44248084244).

The spelling of 40244040040 in words is "forty billion, two hundred forty-four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 227 248 310 454 620 908 1135 1240 1816 2270 4540 7037 9080 14074 28148 35185 56296 70370 140740 142973 281480 285946 571892 714865 1143784 1429730 2859460 4432163 5718920 8864326 17728652 22160815 32454871 35457304 44321630 64909742 88643260 129819484 162274355 177286520 259638968 324548710 649097420 1006101001 1298194840 2012202002 4024404004 5030505005 8048808008 10061010010 20122020020 40244040040