Search a number
-
+
412322242414240 = 255116315591421317
BaseRepresentation
bin101110111000000010100000…
…0110010101100011010100000
32000001220121210000021221222101
41131300011000302230122200
5413020441423024223430
64020534120114220144
7152564204354165164
oct13560050062543240
92001817700257871
10412322242414240
1110a418976695824
123a2b2990884654
131490ba88ba5ba2
1473b67083acca4
1532a06ab272dca
hex1770140cac6a0

412322242414240 has 96 divisors (see below), whose sum is σ = 975574937151360. Its totient is φ = 164681267272704.

The previous prime is 412322242414157. The next prime is 412322242414267. The reversal of 412322242414240 is 42414242223214.

It is a self number, because there is not a number n which added to its sum of digits gives 412322242414240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289388062 + ... + 290809378.

It is an arithmetic number, because the mean of its divisors is an integer number (10162238928660).

Almost surely, 2412322242414240 is an apocalyptic number.

412322242414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412322242414240 is an abundant number, since it is smaller than the sum of its proper divisors (563252694737120).

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

412322242414240 is a wasteful number, since it uses less digits than its factorization.

412322242414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424054 (or 1424046 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 412322242414240 its reverse (42414242223214), we get a palindrome (454736484637454).

The spelling of 412322242414240 in words is "four hundred twelve trillion, three hundred twenty-two billion, two hundred forty-two million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1163 1559 2326 3118 4652 5815 6236 7795 9304 11630 12472 15590 18608 23260 24944 31180 37216 46520 49888 62360 93040 124720 186080 249440 1421317 1813117 2842634 3626234 5685268 7106585 7252468 9065585 11370536 14213170 14504936 18131170 22741072 28426340 29009872 36262340 45482144 56852680 58019744 72524680 113705360 145049360 227410720 290098720 1652991671 2215833203 3305983342 4431666406 6611966684 8264958355 8863332812 11079166015 13223933368 16529916710 17726665624 22158332030 26447866736 33059833420 35453331248 44316664060 52895733472 66119666840 70906662496 88633328120 132239333680 177266656240 264478667360 354533312480 2577014015089 5154028030178 10308056060356 12885070075445 20616112120712 25770140150890 41232224241424 51540280301780 82464448482848 103080560603560 206161121207120 412322242414240