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434342124100 = 22525749755509
BaseRepresentation
bin1100101001000001100…
…11101101101001000100
31112112010001100000212001
412110200303231221010
524104013040432400
6531311203035044
743244255065543
oct6244063555104
91475101300761
10434342124100
11158226895545
127021836ba84
1331c5c481231
141704517c15a
15b471827a6a
hex6520ceda44

434342124100 has 36 divisors (see below), whose sum is σ = 942687602500. Its totient is φ = 173706399360.

The previous prime is 434342124079. The next prime is 434342124107. The reversal of 434342124100 is 1421243434.

It can be written as a sum of positive squares in 6 ways, for example, as 189174543364 + 245167580736 = 434942^2 + 495144^2 .

It is not an unprimeable number, because it can be changed into a prime (434342124107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197146 + ... + 952654.

Almost surely, 2434342124100 is an apocalyptic number.

It is an amenable number.

434342124100 is an abundant number, since it is smaller than the sum of its proper divisors (508345478400).

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

434342124100 is a wasteful number, since it uses less digits than its factorization.

434342124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761272 (or 761265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434342124100 its reverse (1421243434), we get a palindrome (435763367534).

The spelling of 434342124100 in words is "four hundred thirty-four billion, three hundred forty-two million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5749 11498 22996 28745 57490 114980 143725 287450 574900 755509 1511018 3022036 3777545 7555090 15110180 18887725 37775450 75550900 4343421241 8686842482 17373684964 21717106205 43434212410 86868424820 108585531025 217171062050 434342124100