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2024141303120 = 245389116355927
BaseRepresentation
bin11101011101001000001…
…110010010110101010000
321011111122212222010002212
4131131020032102311100
5231130420133144440
64145513324531252
7266145052124006
oct35351016226520
97144585863085
102024141303120
11710484aa6172
122883609b0b28
13118b4cc05c11
146dd7cb8ca76
15379bc5d1465
hex1d748392d50

2024141303120 has 80 divisors (see below), whose sum is σ = 4722367927680. Its totient is φ = 806866324992.

The previous prime is 2024141303111. The next prime is 2024141303207. The reversal of 2024141303120 is 213031414202.

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

It is a congruent number.

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, 36164597 + ... + 36220523.

It is an arithmetic number, because the mean of its divisors is an integer number (59029599096).

Almost surely, 22024141303120 is an apocalyptic number.

2024141303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024141303120 is an abundant number, since it is smaller than the sum of its proper divisors (2698226624560).

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

2024141303120 is a wasteful number, since it uses less digits than its factorization.

2024141303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57492 (or 57486 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2024141303120 its reverse (213031414202), we get a palindrome (2237172717322).

The spelling of 2024141303120 in words is "two trillion, twenty-four billion, one hundred forty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1163 1556 1945 2326 3112 3890 4652 5815 6224 7780 9304 11630 15560 18608 23260 31120 46520 55927 93040 111854 223708 279635 447416 452407 559270 894832 904814 1118540 1809628 2237080 2262035 3619256 4474160 4524070 7238512 9048140 18096280 21755603 36192560 43511206 65043101 87022412 108778015 130086202 174044824 217556030 260172404 325215505 348089648 435112060 520344808 650431010 870224120 1040689616 1300862020 1740448240 2601724040 5203448080 25301766289 50603532578 101207065156 126508831445 202414130312 253017662890 404828260624 506035325780 1012070651560 2024141303120