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420040022440 = 23527893765149
BaseRepresentation
bin1100001110011000101…
…01100001100110101000
31111011012022101222201011
412013030111201212220
523340220221204230
6520544055233304
742226661165263
oct6071425414650
91434168358634
10420040022440
11152157707915
12694a6678834
13307c03b9a9c
1416489905cda
15add5e1ce2a
hex61cc5619a8

420040022440 has 32 divisors (see below), whose sum is σ = 945429165000. Its totient is φ = 167955721984.

The previous prime is 420040022407. The next prime is 420040022447. The reversal of 420040022440 is 44220040024.

It can be written as a sum of positive squares in 4 ways, for example, as 245197290276 + 174842732164 = 495174^2 + 418142^2 .

It is not an unprimeable number, because it can be changed into a prime (420040022447) 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 7 ways as a sum of consecutive naturals, for example, 1771015 + ... + 1994134.

Almost surely, 2420040022440 is an apocalyptic number.

420040022440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420040022440 is an abundant number, since it is smaller than the sum of its proper divisors (525389142560).

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

420040022440 is a wasteful number, since it uses less digits than its factorization.

420040022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767949 (or 3767945 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420040022440 its reverse (44220040024), we get a palindrome (464260062464).

The spelling of 420040022440 in words is "four hundred twenty billion, forty million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2789 5578 11156 13945 22312 27890 55780 111560 3765149 7530298 15060596 18825745 30121192 37651490 75302980 150605960 10501000561 21002001122 42004002244 52505002805 84008004488 105010005610 210020011220 420040022440