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10442040224 = 257114237841
BaseRepresentation
bin10011011100110010…
…01110001110100000
3222221201112121022112
421232121032032200
5132341130241344
64444053054452
7516522606650
oct115631161640
928851477275
1010442040224
114479294410
122035027428
13ca545b135
14710b4c360
15411ac7c9e
hex26e64e3a0

10442040224 has 48 divisors (see below), whose sum is σ = 25630468416. Its totient is φ = 4068326400.

The previous prime is 10442040221. The next prime is 10442040277. The reversal of 10442040224 is 42204024401.

It is a self number, because there is not a number n which added to its sum of digits gives 10442040224.

It is not an unprimeable number, because it can be changed into a prime (10442040221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2116457 + ... + 2121384.

It is an arithmetic number, because the mean of its divisors is an integer number (533968092).

Almost surely, 210442040224 is an apocalyptic number.

10442040224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10442040224 is an abundant number, since it is smaller than the sum of its proper divisors (15188428192).

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

10442040224 is a wasteful number, since it uses less digits than its factorization.

10442040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237869 (or 4237861 counting only the distinct ones).

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

Adding to 10442040224 its reverse (42204024401), we get a palindrome (52646064625).

The spelling of 10442040224 in words is "ten billion, four hundred forty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4237841 8475682 16951364 29664887 33902728 46616251 59329774 67805456 93232502 118659548 135610912 186465004 237319096 326313757 372930008 474638192 652627514 745860016 949276384 1305255028 1491720032 2610510056 5221020112 10442040224