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4034166440 = 235100854161
BaseRepresentation
bin1111000001110100…
…0111111010101000
3101102010222212222212
43300131013322220
531230221311230
61504150104252
7201653564123
oct36035077250
911363885885
104034166440
1117901aaa57
1294704b088
134c3a24c45
142a3ac93ba
15189273895
hexf0747ea8

4034166440 has 16 divisors (see below), whose sum is σ = 9076874580. Its totient is φ = 1613666560.

The previous prime is 4034166421. The next prime is 4034166511. The reversal of 4034166440 is 446614304.

It can be written as a sum of positive squares in 2 ways, for example, as 3296826724 + 737339716 = 57418^2 + 27154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4034166397 and 4034166406.

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 3 ways as a sum of consecutive naturals, for example, 50427041 + ... + 50427120.

Almost surely, 24034166440 is an apocalyptic number.

4034166440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034166440 is an abundant number, since it is smaller than the sum of its proper divisors (5042708140).

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

4034166440 is a wasteful number, since it uses less digits than its factorization.

4034166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100854172 (or 100854168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4034166440 is about 63515.0882861702. The cubic root of 4034166440 is about 1591.9078978812.

The spelling of 4034166440 in words is "four billion, thirty-four million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 100854161 201708322 403416644 504270805 806833288 1008541610 2017083220 4034166440