Search a number
-
+
242434031140040 = 23547254291507113
BaseRepresentation
bin110111000111111000010010…
…010011101011110011001000
31011210101110121110120022202212
4313013320102103223303020
5223234014343432440130
62215340353440244252
7102031165202610215
oct6707702223536310
91153343543508685
10242434031140040
1170279771377823
122323540a610688
13a53757acc669c
1443c1c266d8b0c
151d063eb132e95
hexdc7e124ebcc8

242434031140040 has 64 divisors (see below), whose sum is σ = 557085743804160. Its totient is φ = 94909783713280.

The previous prime is 242434031140013. The next prime is 242434031140097. The reversal of 242434031140040 is 40041130434242.

It is a junction number, because it is equal to n+sod(n) for n = 242434031139979 and 242434031140006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477813524 + ... + 478320636.

It is an arithmetic number, because the mean of its divisors is an integer number (8704464746940).

Almost surely, 2242434031140040 is an apocalyptic number.

242434031140040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242434031140040 is an abundant number, since it is smaller than the sum of its proper divisors (314651712664120).

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

242434031140040 is a wasteful number, since it uses less digits than its factorization.

242434031140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761462 (or 761458 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 242434031140040 its reverse (40041130434242), we get a palindrome (282475161574282).

The spelling of 242434031140040 in words is "two hundred forty-two trillion, four hundred thirty-four billion, thirty-one million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 254291 507113 508582 1014226 1017164 1271455 2028452 2034328 2535565 2542910 4056904 5071130 5085820 10142260 10171640 11951677 20284520 23834311 23903354 47668622 47806708 59758385 95337244 95613416 119171555 119516770 190674488 238343110 239033540 476686220 478067080 953372440 128954271883 257908543766 515817087532 644771359415 1031634175064 1289542718830 2579085437660 5158170875320 6060850778501 12121701557002 24243403114004 30304253892505 48486806228008 60608507785010 121217015570020 242434031140040