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10440241120 = 255895871249
BaseRepresentation
bin10011011100100100…
…10110111111100000
3222221121011012102001
421232102112333200
5132340200203440
64443550333344
7516501404521
oct115622267740
928847135361
1010440241120
114478275751
1220344ba254
13ca4c7b28a
14710800848
1541186eb9a
hex26e496fe0

10440241120 has 96 divisors (see below), whose sum is σ = 25004700000. Its totient is φ = 4118839296.

The previous prime is 10440241099. The next prime is 10440241151. The reversal of 10440241120 is 2114204401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358256 + ... + 8359504.

It is an arithmetic number, because the mean of its divisors is an integer number (260465625).

Almost surely, 210440241120 is an apocalyptic number.

10440241120 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 10440241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502350000).

10440241120 is an abundant number, since it is smaller than the sum of its proper divisors (14564458880).

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

10440241120 is a wasteful number, since it uses less digits than its factorization.

10440241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10440241120 its reverse (2114204401), we get a palindrome (12554445521).

The spelling of 10440241120 in words is "ten billion, four hundred forty million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 587 712 890 1174 1249 1424 1780 2348 2498 2848 2935 3560 4696 4996 5870 6245 7120 9392 9992 11740 12490 14240 18784 19984 23480 24980 39968 46960 49960 52243 93920 99920 104486 111161 199840 208972 222322 261215 417944 444644 522430 555805 733163 835888 889288 1044860 1111610 1466326 1671776 1778576 2089720 2223220 2932652 3557152 3665815 4179440 4446440 5865304 7331630 8358880 8892880 11730608 14663260 17785760 23461216 29326520 58653040 65251507 117306080 130503014 261006028 326257535 522012056 652515070 1044024112 1305030140 2088048224 2610060280 5220120560 10440241120