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240420400040 = 2356010510001
BaseRepresentation
bin1101111111101000101…
…1000010101110101000
3211222120022101202102202
43133322023002232220
512414340110300130
6302240403315332
723240561452622
oct3377213025650
9758508352382
10240420400040
1192a64058a97
123a71837bb48
1319896506552
14b8ca443c12
1563c1cee145
hex37fa2c2ba8

240420400040 has 16 divisors (see below), whose sum is σ = 540945900180. Its totient is φ = 96168160000.

The previous prime is 240420399991. The next prime is 240420400057. The reversal of 240420400040 is 40004024042.

It can be written as a sum of positive squares in 2 ways, for example, as 219921605764 + 20498794276 = 468958^2 + 143174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240420399985 and 240420400021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3005254961 + ... + 3005255040.

Almost surely, 2240420400040 is an apocalyptic number.

240420400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240420400040 is an abundant number, since it is smaller than the sum of its proper divisors (300525500140).

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

240420400040 is a wasteful number, since it uses less digits than its factorization.

240420400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010510012 (or 6010510008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240420400040 its reverse (40004024042), we get a palindrome (280424424082).

The spelling of 240420400040 in words is "two hundred forty billion, four hundred twenty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6010510001 12021020002 24042040004 30052550005 48084080008 60105100010 120210200020 240420400040