Search a number
-
+
14249690170398 = 2328291329171849
BaseRepresentation
bin1100111101011100001110…
…1110001000010000011110
31212110020221102000211120100
43033113003232020100132
53331431331140423043
650150114534001530
73000335414651034
oct317270356102036
955406842024510
1014249690170398
1145a4294681311
1217218284a62a6
137c4980a82bc7
1437398da6c554
1519aa01915cd3
hexcf5c3b8841e

14249690170398 has 48 divisors (see below), whose sum is σ = 30914327574000. Its totient is φ = 4743744082560.

The previous prime is 14249690170337. The next prime is 14249690170409. The reversal of 14249690170398 is 89307109694241.

14249690170398 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 96 + 90 + 1 + 70 + 398 = 666.

14249690170398 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 198292378 + ... + 198364226.

It is an arithmetic number, because the mean of its divisors is an integer number (644048491125).

Almost surely, 214249690170398 is an apocalyptic number.

14249690170398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14249690170398 is an abundant number, since it is smaller than the sum of its proper divisors (16664637403602).

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

14249690170398 is a wasteful number, since it uses less digits than its factorization.

14249690170398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85977 (or 85974 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 14249690170398 in words is "fourteen trillion, two hundred forty-nine billion, six hundred ninety million, one hundred seventy thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 829 1658 2487 4974 7461 13291 14922 26582 39873 71849 79746 119619 143698 215547 239238 431094 646641 1293282 11018239 22036478 33054717 59562821 66109434 99164151 119125642 178688463 198328302 357376926 536065389 954945059 1072130778 1909890118 2864835177 5729670354 8594505531 17189011062 791649453911 1583298907822 2374948361733 4749896723466 7124845085199 14249690170398