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1130043199968 = 25327155264241
BaseRepresentation
bin10000011100011011110…
…100101101000111100000
311000000211122122110022200
4100130123310231013200
5122003312024344333
62223045031333200
7144433344466554
oct20343364550740
94000748573280
101130043199968
113a6280a20881
12163015221200
13827410b7587
143c9a1559864
151e5dd2aec13
hex1071bd2d1e0

1130043199968 has 72 divisors (see below), whose sum is σ = 3258821822256. Its totient is φ = 371375692800.

The previous prime is 1130043199913. The next prime is 1130043199969. The reversal of 1130043199968 is 8699913400311.

1130043199968 is a `hidden beast` number, since 1 + 1 + 30 + 0 + 431 + 99 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130043199969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27611673 + ... + 27652568.

It is an arithmetic number, because the mean of its divisors is an integer number (45261414198).

Almost surely, 21130043199968 is an apocalyptic number.

1130043199968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1130043199968 is an abundant number, since it is smaller than the sum of its proper divisors (2128778622288).

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

1130043199968 is a wasteful number, since it uses less digits than its factorization.

1130043199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55264328 (or 55264317 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1130043199968 in words is "one trillion, one hundred thirty billion, forty-three million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 55264241 110528482 165792723 221056964 331585446 442113928 497378169 663170892 884227856 994756338 1326341784 1768455712 1989512676 2652683568 3923761111 3979025352 5305367136 7847522222 7958050704 11771283333 15695044444 15916101408 23542566666 31390088888 35313849999 47085133332 62780177776 70627699998 94170266664 125560355552 141255399996 188340533328 282510799992 376681066656 565021599984 1130043199968