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24231130140 = 22357211372937
BaseRepresentation
bin10110100100010010…
…011011010000011100
32022112201010221122110
4112210102123100130
5344111132131030
615044233114020
71515320131200
oct264422332034
968481127573
1024231130140
11a304928798
124842b58910
132392162b39
14125c202b00
1596c4491b0
hex5a449b41c

24231130140 has 144 divisors (see below), whose sum is σ = 79623788832. Its totient is φ = 5489455104.

The previous prime is 24231130109. The next prime is 24231130151. The reversal of 24231130140 is 4103113242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295752 + ... + 368688.

It is an arithmetic number, because the mean of its divisors is an integer number (552942978).

Almost surely, 224231130140 is an apocalyptic number.

24231130140 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 24231130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39811894416).

24231130140 is an abundant number, since it is smaller than the sum of its proper divisors (55392658692).

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

24231130140 is a wasteful number, since it uses less digits than its factorization.

24231130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73076 (or 73067 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 24231130140 its reverse (4103113242), we get a palindrome (28334243382).

The spelling of 24231130140 in words is "twenty-four billion, two hundred thirty-one million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 113 140 147 196 210 226 245 294 339 420 452 490 565 588 678 735 791 980 1130 1356 1470 1582 1695 2260 2373 2940 3164 3390 3955 4746 5537 6780 7910 9492 11074 11865 15820 16611 22148 23730 27685 33222 47460 55370 66444 72937 83055 110740 145874 166110 218811 291748 332220 364685 437622 510559 729370 875244 1021118 1094055 1458740 1531677 2042236 2188110 2552795 3063354 3573913 4376220 5105590 6126708 7147826 7658385 8241881 10211180 10721739 14295652 15316770 16483762 17869565 21443478 24725643 30633540 32967524 35739130 41209405 42886956 49451286 53608695 57693167 71478260 82418810 98902572 107217390 115386334 123628215 164837620 173079501 214434780 230772668 247256430 288465835 346159002 403852169 494512860 576931670 692318004 807704338 865397505 1153863340 1211556507 1615408676 1730795010 2019260845 2423113014 3461590020 4038521690 4846226028 6057782535 8077043380 12115565070 24231130140