Search a number
-
+
24430010000010 = 2353121675074141
BaseRepresentation
bin1011000111000000011100…
…00100010110001010001010
310012111111010101211112101120
411203200032010112022022
511200230130030000020
6123542554110500110
75101003264514316
oct543401604261212
9105444111745346
1024430010000010
1178697888351aa
1228a6848b04636
131082980ba4454
146065c124cb46
152c573218b740
hex16380e11628a

24430010000010 has 96 divisors (see below), whose sum is σ = 60947183880576. Its totient is φ = 6266765865600.

The previous prime is 24430009999991. The next prime is 24430010000047. The reversal of 24430010000010 is 1000001003442.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277540 + ... + 7351680.

It is an arithmetic number, because the mean of its divisors is an integer number (634866498756).

Almost surely, 224430010000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24430010000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30473591940288).

24430010000010 is an abundant number, since it is smaller than the sum of its proper divisors (36517173880566).

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

24430010000010 is a wasteful number, since it uses less digits than its factorization.

24430010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074380 (or 5074349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 24430010000010 its reverse (1000001003442), we get a palindrome (25430011003452).

The spelling of 24430010000010 in words is "twenty-four trillion, four hundred thirty billion, ten million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 167 186 310 334 465 501 835 930 961 1002 1670 1922 2505 2883 4805 5010 5177 5766 9610 10354 14415 15531 25885 28830 31062 51770 77655 155310 160487 320974 481461 802435 962922 1604870 2407305 4814610 5074141 10148282 15222423 25370705 30444846 50741410 76112115 152224230 157298371 314596742 471895113 786491855 847381547 943790226 1572983710 1694763094 2359475565 2542144641 4236907735 4718951130 4876249501 5084289282 8473815470 9752499002 12710723205 14628748503 24381247505 25421446410 26268827957 29257497006 48762495010 52537655914 73143742515 78806483871 131344139785 146287485030 157612967742 262688279570 394032419355 788064838710 814333666667 1628667333334 2443001000001 4071668333335 4886002000002 8143336666670 12215005000005 24430010000010