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4122899040 = 2535132321249
BaseRepresentation
bin1111010110111110…
…0111001001100000
3101122022221222020110
43311233213021200
531420430232130
61521040011320
7204112030551
oct36557471140
911568858213
104122899040
1118262a6087
12970900b40
13509222040
142b17c6328
15191e4eab0
hexf5be7260

4122899040 has 288 divisors, whose sum is σ = 14632380000. Its totient is φ = 969965568.

The previous prime is 4122899029. The next prime is 4122899047. The reversal of 4122899040 is 409982214.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4122899040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122899047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3300336 + ... + 3301584.

It is an arithmetic number, because the mean of its divisors is an integer number (50806875).

Almost surely, 24122899040 is an apocalyptic number.

4122899040 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 4122899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316190000).

4122899040 is an abundant number, since it is smaller than the sum of its proper divisors (10509480960).

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

4122899040 is a wasteful number, since it uses less digits than its factorization.

4122899040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4122899040 is about 64209.8048587597. The cubic root of 4122899040 is about 1603.4948399174.

The spelling of 4122899040 in words is "four billion, one hundred twenty-two million, eight hundred ninety-nine thousand, forty".