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4017660040 = 235100441501
BaseRepresentation
bin1110111101111000…
…1010000010001000
3101100222221021110201
43233132022002020
531212010110130
61502400221544
7201363355402
oct35736120210
911328837421
104017660040
1117819564a9
1294160a8b4
134c0495a44
142a182db72
15187ab2bca
hexef78a088

4017660040 has 16 divisors (see below), whose sum is σ = 9039735180. Its totient is φ = 1607064000.

The previous prime is 4017660013. The next prime is 4017660083. The reversal of 4017660040 is 400667104.

It can be written as a sum of positive squares in 2 ways, for example, as 3765295044 + 252364996 = 61362^2 + 15886^2 .

It is a super-2 number, since 2×40176600402 = 32283184394025603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4017659990 and 4017660008.

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, 50220711 + ... + 50220790.

Almost surely, 24017660040 is an apocalyptic number.

4017660040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4017660040 is an abundant number, since it is smaller than the sum of its proper divisors (5022075140).

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

4017660040 is a wasteful number, since it uses less digits than its factorization.

4017660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100441512 (or 100441508 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4017660040 is about 63385.0143172659. The cubic root of 4017660040 is about 1589.7337528691.

The spelling of 4017660040 in words is "four billion, seventeen million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 100441501 200883002 401766004 502207505 803532008 1004415010 2008830020 4017660040