Search a number
-
+
424345040466642 = 23517294913607069
BaseRepresentation
bin110000001111100001000011…
…1011001100011001011010010
32001122110222201110221010100000
41200133002013121203023102
5421104432120324413032
64102301230445510430
7155244626454361611
oct14037020731431322
92048428643833300
10424345040466642
111132337a2766849
123b714ab3572416
13152a1747867cb9
1476b05a3b0b878
15340d2c58b1e7c
hex181f0876632d2

424345040466642 has 192 divisors, whose sum is σ = 1046492382499200. Its totient is φ = 128275417912320.

The previous prime is 424345040466619. The next prime is 424345040466647. The reversal of 424345040466642 is 246664040543424.

It is a super-2 number, since 2×4243450404666422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (424345040466647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115839084 + ... + 119446152.

It is an arithmetic number, because the mean of its divisors is an integer number (5450481158850).

Almost surely, 2424345040466642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424345040466642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523246191249600).

424345040466642 is an abundant number, since it is smaller than the sum of its proper divisors (622147342032558).

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

424345040466642 is a wasteful number, since it uses less digits than its factorization.

424345040466642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607623 (or 3607611 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 54.

The spelling of 424345040466642 in words is "four hundred twenty-four trillion, three hundred forty-five billion, forty million, four hundred sixty-six thousand, six hundred forty-two".