Search a number
-
+
420034341024 = 25321458452573
BaseRepresentation
bin1100001110010111111…
…11110110100010100000
31111011011220201100021100
412013023333312202200
523340212242403044
6520543333354400
742226561663344
oct6071377664240
91434156640240
10420034341024
11152154487331
12694a4798a00
13307bc17aabc
1416488c67624
15add5699869
hex61cbff68a0

420034341024 has 36 divisors (see below), whose sum is σ = 1194472658106. Its totient is φ = 140011446912.

The previous prime is 420034341011. The next prime is 420034341029. The reversal of 420034341024 is 420143430024.

It is a happy number.

420034341024 is a `hidden beast` number, since 4 + 200 + 3 + 43 + 410 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 419670752400 + 363588624 = 647820^2 + 19068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (420034341029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729225999 + ... + 729226574.

Almost surely, 2420034341024 is an apocalyptic number.

It is an amenable number.

420034341024 is an abundant number, since it is smaller than the sum of its proper divisors (774438317082).

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

420034341024 is a wasteful number, since it uses less digits than its factorization.

420034341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458452589 (or 1458452578 counting only the distinct ones).

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

Adding to 420034341024 its reverse (420143430024), we get a palindrome (840177771048).

The spelling of 420034341024 in words is "four hundred twenty billion, thirty-four million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1458452573 2916905146 4375357719 5833810292 8750715438 11667620584 13126073157 17501430876 23335241168 26252146314 35002861752 46670482336 52504292628 70005723504 105008585256 140011447008 210017170512 420034341024