Search a number
-
+
24133014403420 = 22513791279251399
BaseRepresentation
bin1010111110010111001111…
…10000000011100101011100
310011110002112021020000022211
411133023213300003211130
511130343403141402140
6123154315340250204
75040360410554366
oct537134760034534
9104402467200284
1024133014403420
11776483253672a
122859181840964
13106096c63c450
145d608913bd36
152bcb4d6412ea
hex15f2e7c0395c

24133014403420 has 96 divisors (see below), whose sum is σ = 55703789568000. Its totient is φ = 8728582996224.

The previous prime is 24133014403403. The next prime is 24133014403451. The reversal of 24133014403420 is 2430441033142.

24133014403420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017120 + ... + 7234279.

It is an arithmetic number, because the mean of its divisors is an integer number (580247808000).

Almost surely, 224133014403420 is an apocalyptic number.

24133014403420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24133014403420 is an abundant number, since it is smaller than the sum of its proper divisors (31570775164580).

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

24133014403420 is a wasteful number, since it uses less digits than its factorization.

24133014403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251627 (or 9251625 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 24133014403420 its reverse (2430441033142), we get a palindrome (26563455436562).

The spelling of 24133014403420 in words is "twenty-four trillion, one hundred thirty-three billion, fourteen million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 127 130 158 254 260 316 395 508 635 790 1027 1270 1580 1651 2054 2540 3302 4108 5135 6604 8255 10033 10270 16510 20066 20540 33020 40132 50165 100330 130429 200660 260858 521716 652145 1304290 2608580 9251399 18502798 37005596 46256995 92513990 120268187 185027980 240536374 481072748 601340935 730860521 1174927673 1202681870 1461721042 2349855346 2405363740 2923442084 3654302605 4699710692 5874638365 7308605210 9501186773 11749276730 14617210420 15274059749 19002373546 23498553460 30548119498 38004747092 47505933865 61096238996 76370298745 92819286167 95011867730 152740597490 185638572334 190023735460 305481194980 371277144668 464096430835 928192861670 1206650720171 1856385723340 2413301440342 4826602880684 6033253600855 12066507201710 24133014403420