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4040122000 = 245319106319
BaseRepresentation
bin1111000011001111…
…0101111010010000
3101102120012110111011
43300303311322100
531233232401000
61504521500304
7202055320225
oct36063657220
911376173434
104040122000
1117935a8502
12949041694
134c502b945
142a47d994c
15189a4d2ba
hexf0cf5e90

4040122000 has 80 divisors (see below), whose sum is σ = 10283270400. Its totient is φ = 1530979200.

The previous prime is 4040121991. The next prime is 4040122033. The reversal of 4040122000 is 2210404.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 15160 + ... + 91159.

It is an arithmetic number, because the mean of its divisors is an integer number (128540880).

Almost surely, 24040122000 is an apocalyptic number.

4040122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040122000 is an abundant number, since it is smaller than the sum of its proper divisors (6243148400).

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

4040122000 is a wasteful number, since it uses less digits than its factorization.

4040122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106361 (or 106345 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4040122000 is about 63561.9540291203. The cubic root of 4040122000 is about 1592.6908800720.

Adding to 4040122000 its reverse (2210404), we get a palindrome (4042332404).

The spelling of 4040122000 in words is "four billion, forty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 106319 212638 425276 531595 850552 1063190 1701104 2020061 2126380 2657975 4040122 4252760 5315950 8080244 8505520 10100305 10631900 13289875 16160488 20200610 21263800 26579750 32320976 40401220 42527600 50501525 53159500 80802440 101003050 106319000 161604880 202006100 212638000 252507625 404012200 505015250 808024400 1010030500 2020061000 4040122000