Search a number
-
+
425301410402541 = 33592632485140849
BaseRepresentation
bin110000010110011110011001…
…1011111010101000011101101
32001202212102021112200122112000
41200230330303133111003231
5421221114242030340131
64104312434244402513
7155404004265611601
oct14054746337250355
92052772245618460
10425301410402541
11113572351650822
123b84a3199a6439
131534099b9a5c5a
1477049ab80d501
1534280ebae1ce6
hex182cf337d50ed

425301410402541 has 64 divisors (see below), whose sum is σ = 643233381120000. Its totient is φ = 277650832838400.

The previous prime is 425301410402483. The next prime is 425301410402549. The reversal of 425301410402541 is 145204014103524.

425301410402541 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 0 + 1 + 4 + 104 + 0 + 2 + 541 = 666.

It is not a de Polignac number, because 425301410402541 - 214 = 425301410386157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 425301410402496 and 425301410402505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425301410402549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10411529685 + ... + 10411570533.

It is an arithmetic number, because the mean of its divisors is an integer number (10050521580000).

Almost surely, 2425301410402541 is an apocalyptic number.

It is an amenable number.

425301410402541 is a deficient number, since it is larger than the sum of its proper divisors (217931970717459).

425301410402541 is a wasteful number, since it uses less digits than its factorization.

425301410402541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66031 (or 66025 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 425301410402541 in words is "four hundred twenty-five trillion, three hundred one billion, four hundred ten million, four hundred two thousand, five hundred forty-one".

Divisors: 1 3 9 27 59 177 263 531 789 1593 2367 7101 15517 24851 40849 46551 74553 122547 139653 223659 367641 418959 670977 1102923 1466209 2410091 4398627 6535813 7230273 10743287 13195881 19607439 21690819 32229861 39587643 58822317 65072457 96689583 176466951 290068749 385612967 633853933 1015138499 1156838901 1901561799 3045415497 3470516703 5704685397 9136246491 10411550109 17114056191 27408739473 59893171441 179679514323 266981425237 539038542969 800944275711 1617115628907 2402832827133 7208498481399 15751904088983 47255712266949 141767136800847 425301410402541