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999311040 = 263357133141
BaseRepresentation
bin111011100100000…
…100011011000000
32120122101021001000
4323210010123000
54021310423130
6243054412000
733523001160
oct7344043300
92518337030
10999311040
114730a31a2
1223a801000
1312c058710
1496a0c5a0
155cae7260
hex3b9046c0

999311040 has 896 divisors, whose sum is σ = 4588093440. Its totient is φ = 199065600.

The previous prime is 999311021. The next prime is 999311077. The reversal of 999311040 is 40113999.

It is a super-4 number, since 4×9993110404 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 999310986 and 999311004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24373420 + ... + 24373460.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2999311040 is an apocalyptic number.

999311040 is a gapful number since it is divisible by the number (90) 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 999311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

999311040 is an abundant number, since it is smaller than the sum of its proper divisors (3588782400).

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

999311040 is a wasteful number, since it uses less digits than its factorization.

999311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 999311040 is about 31611.8813106718. The cubic root of 999311040 is about 999.7702939058.

It can be divided in two parts, 99 and 9311040, that added together give a palindrome (9311139).

The spelling of 999311040 in words is "nine hundred ninety-nine million, three hundred eleven thousand, forty".