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24241140002130 = 235173433824869
BaseRepresentation
bin1011000001100000101001…
…00010011110110101010010
310011211102121201121112111220
411200300110202132311102
511134131323320032010
6123320120451145510
75051236022153142
oct540602442366522
9104742551545456
1024241140002130
1177a6678625367
1228761188a5296
13106ac116c935c
145db3c53dc922
152c087add5970
hex160c1489ed52

24241140002130 has 128 divisors (see below), whose sum is σ = 63251722195200. Its totient is φ = 5942559716352.

The previous prime is 24241140002099. The next prime is 24241140002137. The reversal of 24241140002130 is 3120004114242.

It is a self number, because there is not a number n which added to its sum of digits gives 24241140002130.

It is not an unprimeable number, because it can be changed into a prime (24241140002137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4425336 + ... + 8250204.

It is an arithmetic number, because the mean of its divisors is an integer number (494154079650).

Almost surely, 224241140002130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24241140002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31625861097600).

24241140002130 is an abundant number, since it is smaller than the sum of its proper divisors (39010582193070).

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

24241140002130 is a wasteful number, since it uses less digits than its factorization.

24241140002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824973 (or 3824939 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24241140002130 its reverse (3120004114242), we get a palindrome (27361144116372).

The spelling of 24241140002130 in words is "twenty-four trillion, two hundred forty-one billion, one hundred forty million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 289 430 510 578 645 731 867 1290 1445 1462 1734 2193 2890 3655 4335 4386 4913 7310 8670 9826 10965 12427 14739 21930 24565 24854 29478 37281 49130 62135 73695 74562 124270 147390 186405 211259 372810 422518 633777 1056295 1267554 2112590 3168885 3824869 6337770 7649738 11474607 19124345 22949214 38248690 57373035 65022773 114746070 130045546 164469367 195068319 325113865 328938734 390136638 493408101 650227730 822346835 975341595 986816202 1105387141 1644693670 1950683190 2210774282 2467040505 2795979239 3316161423 4934081010 5526935705 5591958478 6632322846 8387937717 11053871410 13979896195 16580807115 16775875434 18791581397 27959792390 33161614230 37583162794 41939688585 47531647063 56374744191 83879377170 93957906985 95063294126 112749488382 142594941189 187915813970 237658235315 281873720955 285189882378 475316470630 563747441910 712974705945 808038000071 1425949411890 1616076000142 2424114000213 4040190000355 4848228000426 8080380000710 12120570001065 24241140002130