Search a number
-
+
2034232401042 = 232727254361129
BaseRepresentation
bin11101100110100001101…
…100110001110010010010
321012110201011011000002100
4131212201230301302102
5231312101443313132
64154302524101230
7266653114053402
oct35464154616222
97173634130070
102034232401042
11714793181416
1228a2b8394816
13119a9a73ac8a
1470659066802
1537dad48637c
hex1d9a1b31c92

2034232401042 has 48 divisors (see below), whose sum is σ = 4415373930240. Its totient is φ = 676867409856.

The previous prime is 2034232400999. The next prime is 2034232401043. The reversal of 2034232401042 is 2401042324302.

2034232401042 is a `hidden beast` number, since 20 + 3 + 4 + 232 + 401 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×20342324010422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034232400997 and 2034232401015.

It is not an unprimeable number, because it can be changed into a prime (2034232401043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33247134 + ... + 33308262.

It is an arithmetic number, because the mean of its divisors is an integer number (91986956880).

Almost surely, 22034232401042 is an apocalyptic number.

2034232401042 is an abundant number, since it is smaller than the sum of its proper divisors (2381141529198).

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

2034232401042 is a wasteful number, since it uses less digits than its factorization.

2034232401042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64407 (or 64404 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2034232401042 its reverse (2401042324302), we get a palindrome (4435274725344).

The spelling of 2034232401042 in words is "two trillion, thirty-four billion, two hundred thirty-two million, four hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 727 1454 2181 2543 4362 5086 6543 7629 13086 15258 22887 45774 61129 122258 183387 366774 550161 1100322 1848761 3697522 5546283 11092566 16638849 33277698 44440783 88881566 133322349 155451047 266644698 310902094 399967047 466353141 799934094 932706282 1399059423 2798118846 113012911169 226025822338 339038733507 678077467014 1017116200521 2034232401042