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10042441240 = 2351323839669
BaseRepresentation
bin10010101101001001…
…10111111000011000
3221220212121212120011
421112210313320120
5131031331104430
64340300211304
7503601225226
oct112644677030
927825555504
1010042441240
114293772817
121b43239b34
13c4072a230
146b3a4db16
153db99322a
hex256937e18

10042441240 has 64 divisors (see below), whose sum is σ = 25391620800. Its totient is φ = 3546757632.

The previous prime is 10042441177. The next prime is 10042441243. The reversal of 10042441240 is 4214424001.

10042441240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042441243) 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, 407875 + ... + 431794.

It is an arithmetic number, because the mean of its divisors is an integer number (396744075).

Almost surely, 210042441240 is an apocalyptic number.

10042441240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042441240 is an abundant number, since it is smaller than the sum of its proper divisors (15349179560).

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

10042441240 is a wasteful number, since it uses less digits than its factorization.

10042441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839716 (or 839712 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10042441240 its reverse (4214424001), we get a palindrome (14256865241).

The spelling of 10042441240 in words is "ten billion, forty-two million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 839669 1679338 3358676 4198345 6717352 8396690 10915697 16793380 19312387 21831394 33586760 38624774 43662788 54578485 77249548 87325576 96561935 109156970 154499096 193123870 218313940 251061031 386247740 436627880 502122062 772495480 1004244124 1255305155 2008488248 2510610310 5021220620 10042441240