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4000240444240 = 245138041362233
BaseRepresentation
bin111010001101100000111…
…010010010001101010000
3112011102022122010112102101
4322031200322102031100
51011014443023203430
612301403551330144
7562002454515535
oct72154072221520
915142278115371
104000240444240
111302546498a17
12547334520954
132302b4873831
14db88124cd8c
156e0c7152dca
hex3a360e92350

4000240444240 has 40 divisors (see below), whose sum is σ = 9300652084008. Its totient is φ = 1600080168960.

The previous prime is 4000240444159. The next prime is 4000240444279. The reversal of 4000240444240 is 424440420004.

It can be written as a sum of positive squares in 4 ways, for example, as 1522222958656 + 2478017485584 = 1233784^2 + 1574172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40002404442402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000240444199 and 4000240444208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10862164 + ... + 11224396.

Almost surely, 24000240444240 is an apocalyptic number.

4000240444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000240444240 is an abundant number, since it is smaller than the sum of its proper divisors (5300411639768).

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

4000240444240 is a wasteful number, since it uses less digits than its factorization.

4000240444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500287 (or 500281 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4000240444240 its reverse (424440420004), we get a palindrome (4424680864244).

The spelling of 4000240444240 in words is "four trillion, two hundred forty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 138041 276082 362233 552164 690205 724466 1104328 1380410 1448932 1811165 2208656 2760820 2897864 3622330 5521640 5795728 7244660 11043280 14489320 28978640 50003005553 100006011106 200012022212 250015027765 400024044424 500030055530 800048088848 1000060111060 2000120222120 4000240444240