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42091284441960 = 23325138993864197
BaseRepresentation
bin10011001001000001001000…
…00011101010101101101000
312112000212221222112222112100
421210200210003222231220
521004110422304120320
6225304245155413400
711602665160360065
oct1144404403525550
9175025858488470
1042091284441960
11124588a4828226
1248796a5bb4260
131a64263a9c720
14a5732c697c6c
154ced56be1790
hex2648240eab68

42091284441960 has 96 divisors (see below), whose sum is σ = 147319495563240. Its totient is φ = 10360931553792.

The previous prime is 42091284441917. The next prime is 42091284441991. The reversal of 42091284441960 is 6914448219024.

42091284441960 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 1 + 2 + 8 + 444 + 196 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38208642766596 + 3882641675364 = 6181314^2 + 1970442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42091284441897 and 42091284441906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4496927419 + ... + 4496936778.

Almost surely, 242091284441960 is an apocalyptic number.

42091284441960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42091284441960 is an abundant number, since it is smaller than the sum of its proper divisors (105228211121280).

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

42091284441960 is a wasteful number, since it uses less digits than its factorization.

42091284441960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993864227 (or 8993864220 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42091284441960 in words is "forty-two trillion, ninety-one billion, two hundred eighty-four million, four hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 8993864197 17987728394 26981592591 35975456788 44969320985 53963185182 71950913576 80944777773 89938641970 107926370364 116920234561 134907962955 161889555546 179877283940 215852740728 233840469122 269815925910 323779111092 350760703683 359754567880 404723888865 467680938244 539631851820 584601172805 647558222184 701521407366 809447777730 935361876488 1052282111049 1079263703640 1169202345610 1403042814732 1618895555460 1753803518415 2104564222098 2338404691220 2806085629464 3237791110920 3507607036830 4209128444196 4676809382440 5261410555245 7015214073660 8418256888392 10522821110490 14030428147320 21045642220980 42091284441960