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10240024424 = 237535958477
BaseRepresentation
bin10011000100101101…
…00101111101101000
3222102122102010201212
421202112211331220
5131432421240144
64412035132252
7511520525420
oct114226457550
928378363655
1010240024424
114385254a03
121b99444088
13c72649466
146d1da3480
153edec149e
hex2625a5f68

10240024424 has 64 divisors (see below), whose sum is σ = 22736246400. Its totient is φ = 4232726784.

The previous prime is 10240024423. The next prime is 10240024451. The reversal of 10240024424 is 42442004201.

10240024424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10240024424.

It is not an unprimeable number, because it can be changed into a prime (10240024423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145874 + ... + 204350.

It is an arithmetic number, because the mean of its divisors is an integer number (355253850).

Almost surely, 210240024424 is an apocalyptic number.

10240024424 is a gapful number since it is divisible by the number (14) 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 10240024424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368123200).

10240024424 is an abundant number, since it is smaller than the sum of its proper divisors (12496221976).

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

10240024424 is a wasteful number, since it uses less digits than its factorization.

10240024424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58602 (or 58598 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 10240024424 its reverse (42442004201), we get a palindrome (52682028625).

The spelling of 10240024424 in words is "ten billion, two hundred forty million, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 59 106 118 212 236 371 413 424 472 742 826 1484 1652 2968 3127 3304 6254 12508 21889 25016 43778 58477 87556 116954 175112 233908 409339 467816 818678 1637356 3099281 3274712 3450143 6198562 6900286 12397124 13800572 21694967 24151001 24794248 27601144 43389934 48302002 86779868 96604004 173559736 182857579 193208008 365715158 731430316 1280003053 1462860632 2560006106 5120012212 10240024424