Search a number
-
+
2256142636305 = 325471361783787
BaseRepresentation
bin100000110101001100100…
…101001001010100010001
321222200111110101221222200
4200311030211021110101
5243431040003330210
64444242502353413
7322000213663335
oct40651445112421
97880443357880
102256142636305
1179a908778668
1230530972b869
131349a41102ac
147b2aaddd7c5
153da4a2070c0
hex20d4c949511

2256142636305 has 48 divisors (see below), whose sum is σ = 3996792094464. Its totient is φ = 1176807651840.

The previous prime is 2256142636273. The next prime is 2256142636313. The reversal of 2256142636305 is 5036362416522.

2256142636305 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 4 + 2 + 6 + 3 + 630 + 5 = 666.

It is not a de Polignac number, because 2256142636305 - 25 = 2256142636273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486622 + ... + 3270408.

It is an arithmetic number, because the mean of its divisors is an integer number (83266501968).

Almost surely, 22256142636305 is an apocalyptic number.

It is an amenable number.

2256142636305 is a deficient number, since it is larger than the sum of its proper divisors (1740649458159).

2256142636305 is a wasteful number, since it uses less digits than its factorization.

2256142636305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785206 (or 785203 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2256142636305 in words is "two trillion, two hundred fifty-six billion, one hundred forty-two million, six hundred thirty-six thousand, three hundred five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 1361 2115 4083 6805 12249 20415 61245 63967 191901 319835 575703 783787 959505 2351361 2878515 3918935 7054083 11756805 35270415 36837989 110513967 184189945 331541901 552569835 1066734107 1657709505 3200202321 5333670535 9600606963 16001011605 48003034815 50136503029 150409509087 250682515145 451228527261 752047545435 2256142636305