Search a number
-
+
14420012033040 = 2435653436321089
BaseRepresentation
bin1101000111010110101110…
…1100011110010000010000
31220001112120102122221020020
43101311223230132100100
53342224141040024130
650400243450343440
73015545224623165
oct321655354362020
956045512587206
1014420012033040
11465a546955669
12174a840a2ab80
13807a555c0c53
1437bd0a36a06c
151a016e63ce10
hexd1d6bb1e410

14420012033040 has 160 divisors (see below), whose sum is σ = 44782878533760. Its totient is φ = 3838385799168.

The previous prime is 14420012033027. The next prime is 14420012033069. The reversal of 14420012033040 is 4033021002441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14420012033040.

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, 683758816 + ... + 683779904.

It is an arithmetic number, because the mean of its divisors is an integer number (279892990836).

Almost surely, 214420012033040 is an apocalyptic number.

14420012033040 is a gapful number since it is divisible by the number (10) 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 14420012033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391439266880).

14420012033040 is an abundant number, since it is smaller than the sum of its proper divisors (30362866500720).

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

14420012033040 is a wasteful number, since it uses less digits than its factorization.

14420012033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26121 (or 26115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14420012033040 its reverse (4033021002441), we get a palindrome (18453033035481).

The spelling of 14420012033040 in words is "fourteen trillion, four hundred twenty billion, twelve million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 4363 5224 6530 7836 8726 9795 10448 13060 13089 15672 17452 19590 21089 21815 26120 26178 31344 34904 39180 42178 43630 52240 52356 63267 65445 69808 78360 84356 87260 104712 105445 126534 130890 156720 168712 174520 209424 210890 253068 261780 316335 337424 349040 421780 506136 523560 632670 843560 1012272 1047120 1265340 1687120 2530680 2849039 5061360 5698078 8547117 11396156 13771117 14245195 17094234 22792312 27542234 28490390 34188468 41313351 42735585 45584624 55084468 56980780 68376936 68855585 82626702 85471170 92011307 110168936 113961560 136753872 137711170 165253404 170942340 184022614 206566755 220337872 227923120 275422340 276033921 330506808 341884680 368045228 413133510 460056535 550844680 552067842 661013616 683769360 736090456 826267020 920113070 1101689360 1104135684 1380169605 1472180912 1652534040 1840226140 2208271368 2760339210 3305068080 3680452280 4416542736 5520678420 7360904560 11041356840 22082713680 60083383471 120166766942 180250150413 240333533884 300416917355 360500300826 480667067768 600833834710 721000601652 901250752065 961334135536 1201667669420 1442001203304 1802501504130 2403335338840 2884002406608 3605003008260 4806670677680 7210006016520 14420012033040