Search a number
-
+
4122345114261 = 32111011672468717
BaseRepresentation
bin111011111111001110111…
…010101000101010010101
3112121002111022121110102100
4323333032322220222111
51020020030322124021
612433440150232313
7603554361215253
oct73771672505225
915532438543370
104122345114261
11134a305390850
12566b31055699
1323b973ac257a
14103745cd95d3
1572371c94626
hex3bfceea8a95

4122345114261 has 48 divisors (see below), whose sum is σ = 6599416457088. Its totient is φ = 2458841136000.

The previous prime is 4122345114227. The next prime is 4122345114269. The reversal of 4122345114261 is 1624115432214.

4122345114261 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 3 + 451 + 142 + 61 = 666.

It is not a de Polignac number, because 4122345114261 - 219 = 4122344589973 is a prime.

It is a super-2 number, since 2×41223451142612 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122345114269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435475 + ... + 2904191.

It is an arithmetic number, because the mean of its divisors is an integer number (137487842856).

Almost surely, 24122345114261 is an apocalyptic number.

It is an amenable number.

4122345114261 is a deficient number, since it is larger than the sum of its proper divisors (2477071342827).

4122345114261 is a wasteful number, since it uses less digits than its factorization.

4122345114261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469002 (or 2468999 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 4122345114261 in words is "four trillion, one hundred twenty-two billion, three hundred forty-five million, one hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 3 9 11 33 99 101 167 303 501 909 1111 1503 1837 3333 5511 9999 16533 16867 50601 151803 185537 556611 1669833 2468717 7406151 22218453 27155887 81467661 244402983 249340417 412275739 748021251 1236827217 2244063753 2742744587 3710481651 4535033129 8228233761 13605099387 24684701283 40815298161 41639849639 124919548917 374758646751 458038346029 1374115038087 4122345114261