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42467844876424 = 23115342457214463
BaseRepresentation
bin10011010011111110100001…
…10011101110100010001000
312120100212221010110001101021
421221333100303232202020
521031243121242021144
6230153243020402224
711642125533301252
oct1151772063564210
9176325833401337
1042467844876424
111259356a331060
12491a6773a6374
131a90915266456
14a6b651828cd2
154d9a458ed884
hex269fd0cee888

42467844876424 has 64 divisors (see below), whose sum is σ = 88507525616640. Its totient is φ = 18938813237760.

The previous prime is 42467844876407. The next prime is 42467844876467.

42467844876424 is nontrivially palindromic in base 10.

42467844876424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×424678448764243 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197912217 + ... + 198126679.

It is an arithmetic number, because the mean of its divisors is an integer number (1382930087760).

Almost surely, 242467844876424 is an apocalyptic number.

42467844876424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42467844876424 is an abundant number, since it is smaller than the sum of its proper divisors (46039680740216).

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

42467844876424 is a wasteful number, since it uses less digits than its factorization.

42467844876424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256990 (or 256986 counting only the distinct ones).

The product of its digits is 1849688064, while the sum is 70.

The spelling of 42467844876424 in words is "forty-two trillion, four hundred sixty-seven billion, eight hundred forty-four million, eight hundred seventy-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 42457 84914 169828 214463 339656 428926 467027 857852 934054 1715704 1868108 2250221 2359093 3736216 4500442 4718186 9000884 9436372 11366539 18001768 18872744 22733078 24752431 45466156 49504862 90932312 99009724 125031929 198019448 250063858 500127716 1000255432 9105455591 18210911182 36421822364 72843644728 100160011501 200320023002 400640046004 482589146323 801280092008 965178292646 1930356585292 3860713170584 5308480609553 10616961219106 21233922438212 42467844876424