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24100018040 = 23571710150129
BaseRepresentation
bin10110011100011110…
…010001011101111000
32022012120102202122202
4112130132101131320
5343324101034130
615023231005332
71512135526160
oct263436213570
968176382582
1024100018040
11a24791728a
124807069848
132370c48107
141248a335a0
15960b9b145
hex59c791778

24100018040 has 128 divisors (see below), whose sum is σ = 66267849600. Its totient is φ = 7699660800.

The previous prime is 24100018039. The next prime is 24100018069. The reversal of 24100018040 is 4081000142.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 455696 + ... + 505824.

It is an arithmetic number, because the mean of its divisors is an integer number (517717575).

Almost surely, 224100018040 is an apocalyptic number.

24100018040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24100018040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33133924800).

24100018040 is an abundant number, since it is smaller than the sum of its proper divisors (42167831560).

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

24100018040 is a wasteful number, since it uses less digits than its factorization.

24100018040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50265 (or 50261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 24100018040 its reverse (4081000142), we get a palindrome (28181018182).

The spelling of 24100018040 in words is "twenty-four billion, one hundred million, eighteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 101 119 136 140 170 202 238 280 340 404 476 505 595 680 707 808 952 1010 1190 1414 1717 2020 2380 2828 3434 3535 4040 4760 5656 6868 7070 8585 12019 13736 14140 17170 24038 28280 34340 48076 50129 60095 68680 96152 100258 120190 200516 240380 250645 350903 401032 480760 501290 701806 852193 1002580 1403612 1704386 1754515 2005160 2807224 3408772 3509030 4260965 5063029 5965351 6817544 7018060 8521930 10126058 11930702 14036120 17043860 20252116 23861404 25315145 29826755 34087720 35441203 40504232 47722808 50630290 59653510 70882406 86071493 101260580 119307020 141764812 172142986 177206015 202521160 238614040 283529624 344285972 354412030 430357465 602500451 688571944 708824060 860714930 1205000902 1417648120 1721429860 2410001804 3012502255 3442859720 4820003608 6025004510 12050009020 24100018040