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10040234240 = 28522693457
BaseRepresentation
bin10010101100111000…
…11101000100000000
3221220201110202010102
421112130131010000
5131030244443430
64340141021532
7503543403641
oct112634350400
927821422112
1010040234240
1142924a5653
121b425548a8
13c4013680a
146b36376c8
153db6a9345
hex25671d100

10040234240 has 72 divisors (see below), whose sum is σ = 24067057560. Its totient is φ = 4013162496.

The previous prime is 10040234209. The next prime is 10040234261. The reversal of 10040234240 is 4243204001.

It can be written as a sum of positive squares in 4 ways, for example, as 873320704 + 9166913536 = 29552^2 + 95744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2902592 + ... + 2906048.

Almost surely, 210040234240 is an apocalyptic number.

10040234240 is a gapful number since it is divisible by the number (10) 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 10040234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033528780).

10040234240 is an abundant number, since it is smaller than the sum of its proper divisors (14026823320).

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

10040234240 is an equidigital number, since it uses as much as digits as its factorization.

10040234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10040234240 its reverse (4243204001), we get a palindrome (14283438241).

The spelling of 10040234240 in words is "ten billion, forty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2269 3457 4538 6914 9076 11345 13828 17285 18152 22690 27656 34570 36304 45380 55312 69140 72608 90760 110624 138280 145216 181520 221248 276560 290432 363040 442496 553120 580864 726080 884992 1106240 1452160 2212480 2904320 4424960 7843933 15687866 31375732 39219665 62751464 78439330 125502928 156878660 251005856 313757320 502011712 627514640 1004023424 1255029280 2008046848 2510058560 5020117120 10040234240