Search a number
-
+
24324230252256 = 25311211109167341
BaseRepresentation
bin1011000011111011011010…
…00110101000011011100000
310012010101002102120120202020
411201331231012220123200
511142012010421033011
6123422221435421440
75060240046504264
oct541755506503340
9105111072516666
1024324230252256
117828936934070
12288a2475b4880
1310759c3b2442c
146014287540a4
152c2ae0824006
hex161f6d1a86e0

24324230252256 has 96 divisors (see below), whose sum is σ = 69985872948096. Its totient is φ = 7336045248000.

The previous prime is 24324230252191. The next prime is 24324230252279. The reversal of 24324230252256 is 65225203242342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54360855 + ... + 54806486.

It is an arithmetic number, because the mean of its divisors is an integer number (729019509876).

Almost surely, 224324230252256 is an apocalyptic number.

It is an amenable number.

24324230252256 is an abundant number, since it is smaller than the sum of its proper divisors (45661642695840).

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

24324230252256 is a wasteful number, since it uses less digits than its factorization.

24324230252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109167576 (or 109167568 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 24324230252256 its reverse (65225203242342), we get a palindrome (89549433494598).

The spelling of 24324230252256 in words is "twenty-four trillion, three hundred twenty-four billion, two hundred thirty million, two hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 211 264 352 422 528 633 844 1056 1266 1688 2321 2532 3376 4642 5064 6752 6963 9284 10128 13926 18568 20256 27852 37136 55704 74272 111408 222816 109167341 218334682 327502023 436669364 655004046 873338728 1200840751 1310008092 1746677456 2401681502 2620016184 3493354912 3602522253 4803363004 5240032368 7205044506 9606726008 10480064736 14410089012 19213452016 23034308951 28820178024 38426904032 46068617902 57640356048 69102926853 92137235804 115280712096 138205853706 184274471608 253377398461 276411707412 368548943216 506754796922 552823414824 737097886432 760132195383 1013509593844 1105646829648 1520264390766 2027019187688 2211293659296 3040528781532 4054038375376 6081057563064 8108076750752 12162115126128 24324230252256