Search a number
-
+
1130404140240 = 243547100213133
BaseRepresentation
bin10000011100110001010…
…101100101010011010000
311000001202210211010021220
4100130301111211103100
5122010031424441430
62223144523445040
7144445316440554
oct20346125452320
94001683733256
101130404140240
113a6446738621
121630b6086780
138279ab012bb
143c9d7473864
151e60ed0a110
hex107315654d0

1130404140240 has 80 divisors (see below), whose sum is σ = 3578811441408. Its totient is φ = 295027460608.

The previous prime is 1130404140227. The next prime is 1130404140317. The reversal of 1130404140240 is 420414040311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11304041402403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130404140240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50095287 + ... + 50117846.

Almost surely, 21130404140240 is an apocalyptic number.

1130404140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130404140240 is an abundant number, since it is smaller than the sum of its proper divisors (2448407301168).

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

1130404140240 is a wasteful number, since it uses less digits than its factorization.

1130404140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100213196 (or 100213190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1130404140240 its reverse (420414040311), we get a palindrome (1550818180551).

The spelling of 1130404140240 in words is "one trillion, one hundred thirty billion, four hundred four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 100213133 200426266 300639399 400852532 501065665 601278798 801705064 1002131330 1202557596 1503196995 1603410128 2004262660 2405115192 3006393990 4008525320 4710017251 4810230384 6012787980 8017050640 9420034502 12025575960 14130051753 18840069004 23550086255 24051151920 28260103506 37680138008 47100172510 56520207012 70650258765 75360276016 94200345020 113040414024 141300517530 188400690040 226080828048 282601035060 376801380080 565202070120 1130404140240