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2432131304040 = 233256755920289
BaseRepresentation
bin100011011001000110010…
…100101000101001101000
322121111202102010120211200
4203121012110220221220
5304322001103212130
65101150010324200
7340500323661234
oct43310624505150
98544672116750
102432131304040
11858508796509
12333443a29660
1314846c996049
1485a041755c4
15433ea69c760
hex23646528a68

2432131304040 has 48 divisors (see below), whose sum is σ = 7904426739300. Its totient is φ = 648568347648.

The previous prime is 2432131303967. The next prime is 2432131304087. The reversal of 2432131304040 is 404031312342.

2432131304040 is a `hidden beast` number, since 2 + 4 + 321 + 31 + 304 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2150100207684 + 282031096356 = 1466322^2 + 531066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2432131303995 and 2432131304013.

It is an unprimeable number.

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, 3377959785 + ... + 3377960504.

Almost surely, 22432131304040 is an apocalyptic number.

2432131304040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432131304040 is an abundant number, since it is smaller than the sum of its proper divisors (5472295435260).

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

2432131304040 is a wasteful number, since it uses less digits than its factorization.

2432131304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755920306 (or 6755920299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2432131304040 its reverse (404031312342), we get a palindrome (2836162616382).

The spelling of 2432131304040 in words is "two trillion, four hundred thirty-two billion, one hundred thirty-one million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6755920289 13511840578 20267760867 27023681156 33779601445 40535521734 54047362312 60803282601 67559202890 81071043468 101338804335 121606565202 135118405780 162142086936 202677608670 243213130404 270236811560 304016413005 405355217340 486426260808 608032826010 810710434680 1216065652020 2432131304040