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24230994240 = 263530782217
BaseRepresentation
bin10110100100010001…
…111010000101000000
32022112200220001020010
4112210101322011000
5344111113303430
615044230144520
71515316024035
oct264421720500
968480801203
1024230994240
11a304845682
124842ab2140
13239211601b
14125c1a938c
1596c41dcb0
hex5a447a140

24230994240 has 112 divisors (see below), whose sum is σ = 77184942912. Its totient is φ = 6440472576.

The previous prime is 24230994211. The next prime is 24230994259. The reversal of 24230994240 is 4249903242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253612 + ... + 335828.

It is an arithmetic number, because the mean of its divisors is an integer number (689151276).

Almost surely, 224230994240 is an apocalyptic number.

24230994240 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 24230994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38592471456).

24230994240 is an abundant number, since it is smaller than the sum of its proper divisors (52953948672).

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

24230994240 is a wasteful number, since it uses less digits than its factorization.

24230994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82544 (or 82534 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 24230994240 in words is "twenty-four billion, two hundred thirty million, nine hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 480 614 921 960 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 19648 24560 29472 36840 49120 58944 73680 82217 98240 147360 164434 246651 294720 328868 411085 493302 657736 822170 986604 1233255 1315472 1644340 1973208 2466510 2630944 3288680 3946416 4933020 5261888 6577360 7892832 9866040 13154720 15785664 19732080 25240619 26309440 39464160 50481238 75721857 78928320 100962476 126203095 151443714 201924952 252406190 302887428 378609285 403849904 504812380 605774856 757218570 807699808 1009624760 1211549712 1514437140 1615399616 2019249520 2423099424 3028874280 4038499040 4846198848 6057748560 8076998080 12115497120 24230994240