Search a number
-
+
434102142402 = 23383472320507
BaseRepresentation
bin1100101000100101000…
…00010000010111000010
31112111111022202200212000
412110102200100113002
524103020122024102
6531231311244430
743235312220465
oct6242240202702
91474438680760
10434102142402
11158113384765
127016bb19716
1331c21838826
141702134d2dc
15b45a72201c
hex65128105c2

434102142402 has 64 divisors (see below), whose sum is σ = 976548303360. Its totient is φ = 142920094032.

The previous prime is 434102142391. The next prime is 434102142403. The reversal of 434102142402 is 204241201434.

434102142402 is a `hidden beast` number, since 4 + 3 + 41 + 0 + 214 + 2 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (434102142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21158233 + ... + 21178739.

It is an arithmetic number, because the mean of its divisors is an integer number (15258567240).

Almost surely, 2434102142402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434102142402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488274151680).

434102142402 is an abundant number, since it is smaller than the sum of its proper divisors (542446160958).

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

434102142402 is a wasteful number, since it uses less digits than its factorization.

434102142402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25324 (or 25318 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 434102142402 its reverse (204241201434), we get a palindrome (638343343836).

It can be divided in two parts, 43410 and 2142402, that added together give a palindrome (2185812).

The spelling of 434102142402 in words is "four hundred thirty-four billion, one hundred two million, one hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 4723 9446 14169 20507 28338 41014 42507 61521 85014 123042 127521 184563 255042 369126 392009 553689 784018 1107378 1176027 1702081 2352054 3404162 3528081 5106243 7056162 10212486 10584243 15318729 21168486 30637458 45956187 91912374 96854561 193709122 290563683 581127366 871691049 1743382098 2615073147 5230146294 8038928563 16077857126 24116785689 48233571378 72350357067 144700714134 217051071201 434102142402