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999311040000 = 2933547133141
BaseRepresentation
bin11101000101010111001…
…01000101111000000000
310112112101201000122001000
432202223211011320000
5112333042111240000
62043024355412000
7132124600455210
oct16425345057000
93475351018030
10999311040000
11355895037069
1214180b2b4000
13733086234c0
143651cb44240
151aedb025000
hexe8ab945e00

999311040000 has 3200 divisors, whose sum is σ = 4810652098560. Its totient is φ = 199065600000.

The previous prime is 999311039941. The next prime is 999311040059. The reversal of 999311040000 is 40113999.

It is an interprime number because it is at equal distance from previous prime (999311039941) and next prime (999311040059).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-4 number, since 4×9993110400004 (a number of 49 digits) contains 4444 as substring.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 24373439980 + ... + 24373440020.

Almost surely, 2999311040000 is an apocalyptic number.

999311040000 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 999311040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405326049280).

999311040000 is an abundant number, since it is smaller than the sum of its proper divisors (3811341058560).

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

999311040000 is a wasteful number, since it uses less digits than its factorization.

999311040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

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

Adding to 999311040000 its reverse (40113999), we get a palindrome (999351153999).

The spelling of 999311040000 in words is "nine hundred ninety-nine billion, three hundred eleven million, forty thousand".