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24140230130020 = 22517472399629701
BaseRepresentation
bin1010111110100100101011…
…10101110111100101100100
310011110210011010212220101011
411133102111311313211210
511131003142403130040
6123201511342312004
75041034256331234
oct537222565674544
9104423133786334
1024140230130020
1177678a5634944
12285a656288604
13106154c547964
145d65715b1cc4
152bce21d6e3ea
hex15f495d77964

24140230130020 has 96 divisors (see below), whose sum is σ = 54841502822400. Its totient is φ = 8891001292800.

The previous prime is 24140230130011. The next prime is 24140230130021. The reversal of 24140230130020 is 2003103204142.

It is a super-2 number, since 2×241402301300202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24140230129973 and 24140230130000.

It is not an unprimeable number, because it can be changed into a prime (24140230130021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38021170 + ... + 38650870.

It is an arithmetic number, because the mean of its divisors is an integer number (571265654400).

Almost surely, 224140230130020 is an apocalyptic number.

24140230130020 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 24140230130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420751411200).

24140230130020 is an abundant number, since it is smaller than the sum of its proper divisors (30701272692380).

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

24140230130020 is a wasteful number, since it uses less digits than its factorization.

24140230130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632173 (or 632171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 24140230130020 its reverse (2003103204142), we get a palindrome (26143333334162).

The spelling of 24140230130020 in words is "twenty-four trillion, one hundred forty billion, two hundred thirty million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 2399 3196 3995 4798 7990 9596 11995 15980 23990 40783 47980 81566 112753 163132 203915 225506 407830 451012 563765 629701 815660 1127530 1259402 1916801 2255060 2518804 3148505 3833602 6297010 7667204 9584005 10704917 12594020 19168010 21409834 29595947 38336020 42819668 53524585 59191894 107049170 118383788 147979735 214098340 295959470 503131099 591918940 1006262198 1510652699 2012524396 2515655495 3021305398 5031310990 6042610796 7553263495 10062621980 15106526990 25681095883 30213053980 51362191766 71000676853 102724383532 128405479415 142001353706 256810958830 284002707412 355003384265 513621917660 710006768530 1207011506501 1420013537060 2414023013002 4828046026004 6035057532505 12070115065010 24140230130020