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240400040040 = 23325667777889
BaseRepresentation
bin1101111111100011110…
…1011000000001101000
3211222111220002100202200
43133320331120001220
512414314402240130
6302234355100200
723240223424206
oct3377075300150
9758456070680
10240400040040
1192a53612246
123a7115a1660
1319892228304
14b8c7864076
1563c012b760
hex37f8f58068

240400040040 has 48 divisors (see below), whose sum is σ = 781300131300. Its totient is φ = 64106677248.

The previous prime is 240400040029. The next prime is 240400040057. The reversal of 240400040040 is 40040004042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 240337218564 + 62821476 = 490242^2 + 7926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240400039995 and 240400040022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333888585 + ... + 333889304.

Almost surely, 2240400040040 is an apocalyptic number.

240400040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240400040040 is an abundant number, since it is smaller than the sum of its proper divisors (540900091260).

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

240400040040 is a wasteful number, since it uses less digits than its factorization.

240400040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667777906 (or 667777899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 240400040040 its reverse (40040004042), we get a palindrome (280440044082).

The spelling of 240400040040 in words is "two hundred forty billion, four hundred million, forty 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 667777889 1335555778 2003333667 2671111556 3338889445 4006667334 5342223112 6010001001 6677778890 8013334668 10016668335 12020002002 13355557780 16026669336 20033336670 24040004004 26711115560 30050005005 40066673340 48080008008 60100010010 80133346680 120200020020 240400040040