Search a number
-
+
42505411450524 = 223111429500944987
BaseRepresentation
bin10011010101000100011111…
…11100110101011010011100
312120111110220012120202002120
421222202033330311122130
521032402040312404044
6230222414430422540
711644625502021021
oct1152421774653234
9176443805522076
1042505411450524
11125a8497717210
124925a00361a50
131a94321128919
14a6d3b6b55548
154da9e395a519
hex26a88ff3569c

42505411450524 has 96 divisors (see below), whose sum is σ = 108295329542400. Its totient is φ = 12868558402560.

The previous prime is 42505411450511. The next prime is 42505411450571.

42505411450524 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944815159 + ... + 944860145.

It is an arithmetic number, because the mean of its divisors is an integer number (1128076349400).

Almost surely, 242505411450524 is an apocalyptic number.

42505411450524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42505411450524 is an abundant number, since it is smaller than the sum of its proper divisors (65789918091876).

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

42505411450524 is a wasteful number, since it uses less digits than its factorization.

42505411450524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51443 (or 51441 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

The spelling of 42505411450524 in words is "forty-two trillion, five hundred five billion, four hundred eleven million, four hundred fifty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1429 2858 4287 5009 5716 8574 10018 15027 15719 17148 20036 30054 31438 44987 47157 55099 60108 62876 89974 94314 110198 134961 165297 179948 188628 220396 269922 330594 494857 539844 661188 989714 1484571 1979428 2969142 5938284 7157861 14315722 21473583 28631444 42947166 64286423 78736471 85894332 128572846 157472942 192859269 225339883 236209413 257145692 314945884 385718538 450679766 472418826 676019649 707150653 771437076 901359532 944837652 1352039298 1414301306 2121451959 2478738713 2704078596 2828602612 4242903918 4957477426 7436216139 8485807836 9914954852 14872432278 29744864556 322010692807 644021385614 966032078421 1288042771228 1932064156842 3542117620877 3864128313684 7084235241754 10626352862631 14168470483508 21252705725262 42505411450524