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2114999040 = 283571123311
BaseRepresentation
bin111111000010000…
…0101001100000000
312110101202002020210
41332010011030000
513312414432130
6545511434120
7103261123650
oct17604051400
95411662223
102114999040
119959530a0
124b0385940
1327923cc2b
14160c72360
15c5a2b5b0
hex7e105300

2114999040 has 576 divisors, whose sum is σ = 8815951872. Its totient is φ = 419020800.

The previous prime is 2114999039. The next prime is 2114999057. The reversal of 2114999040 is 409994112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114999040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6800485 + ... + 6800795.

It is an arithmetic number, because the mean of its divisors is an integer number (15305472).

Almost surely, 22114999040 is an apocalyptic number.

2114999040 is a gapful number since it is divisible by the number (20) 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 2114999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407975936).

2114999040 is an abundant number, since it is smaller than the sum of its proper divisors (6700952832).

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

2114999040 is a wasteful number, since it uses less digits than its factorization.

2114999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2114999040 is about 45989.1187130173. The cubic root of 2114999040 is about 1283.6207379393.

The spelling of 2114999040 in words is "two billion, one hundred fourteen million, nine hundred ninety-nine thousand, forty".