Search a number
-
+
4314614590146 = 237234466474731
BaseRepresentation
bin111110110010010011000…
…100011110101011000010
3120021110202220112211102210
4332302103010132223002
51031142312313341041
613102035004322550
7623502112621140
oct76622304365302
916243686484383
104314614590146
1114138aa4aa843
1259824b843456
13253b3566ca03
1410cb8541c590
15773766ed016
hex3ec9311eac2

4314614590146 has 32 divisors (see below), whose sum is σ = 10290757782528. Its totient is φ = 1179149328720.

The previous prime is 4314614590081. The next prime is 4314614590147. The reversal of 4314614590146 is 6410954164134.

4314614590146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4314614590095 and 4314614590104.

It is not an unprimeable number, because it can be changed into a prime (4314614590147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233236400 + ... + 2233238331.

It is an arithmetic number, because the mean of its divisors is an integer number (321586180704).

Almost surely, 24314614590146 is an apocalyptic number.

4314614590146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4314614590146 is an abundant number, since it is smaller than the sum of its proper divisors (5976143192382).

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

4314614590146 is a wasteful number, since it uses less digits than its factorization.

4314614590146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466474766.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4314614590146 in words is "four trillion, three hundred fourteen billion, six hundred fourteen million, five hundred ninety thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 4466474731 8932949462 13399424193 26798848386 31265323117 62530646234 93795969351 102728918813 187591938702 205457837626 308186756439 616373512878 719102431691 1438204863382 2157307295073 4314614590146