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4080040040 = 2356710913967
BaseRepresentation
bin1111001100110000…
…0111100001101000
3101112100022111202002
43303030013201220
531323442240130
61512505230132
7203051524316
oct36314074150
911470274662
104080040040
11180409251a
1295a492348
1350039709b
142a9c2b0b6
1518d2d5b45
hexf3307868

4080040040 has 64 divisors (see below), whose sum is σ = 9403257600. Its totient is φ = 1592794368.

The previous prime is 4080040033. The next prime is 4080040057. The reversal of 4080040040 is 400400804.

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

4080040040 is a modest number, since divided by 40040 gives 4080 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4080039994 and 4080040021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285137 + ... + 299103.

It is an arithmetic number, because the mean of its divisors is an integer number (146925900).

Almost surely, 24080040040 is an apocalyptic number.

4080040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701628800).

4080040040 is an abundant number, since it is smaller than the sum of its proper divisors (5323217560).

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

4080040040 is a wasteful number, since it uses less digits than its factorization.

4080040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14154 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4080040040 is about 63875.1911151740. The cubic root of 4080040040 is about 1597.9191752367.

Adding to 4080040040 its reverse (400400804), we get a palindrome (4480440844).

The spelling of 4080040040 in words is "four billion, eighty million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 109 134 218 268 335 436 536 545 670 872 1090 1340 2180 2680 4360 7303 13967 14606 27934 29212 36515 55868 58424 69835 73030 111736 139670 146060 279340 292120 558680 935789 1522403 1871578 3044806 3743156 4678945 6089612 7486312 7612015 9357890 12179224 15224030 18715780 30448060 37431560 60896120 102001001 204002002 408004004 510005005 816008008 1020010010 2040020020 4080040040