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3119040000 = 293354192
BaseRepresentation
bin1011100111101000…
…1100011000000000
322001101000122112000
42321322030120000
522341433240000
61233255504000
7140202255036
oct27172143000
98041018460
103119040000
111360686a0a
12730688000
133a92634cb
14218352556
15133c5a000
hexb9e8c600

3119040000 has 600 divisors, whose sum is σ = 12176196120. Its totient is φ = 787968000.

The previous prime is 3119039999. The next prime is 3119040007. The reversal of 3119040000 is 409113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3119040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164159991 + ... + 164160009.

Almost surely, 23119040000 is an apocalyptic number.

3119040000 is a gapful number since it is divisible by the number (30) 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 3119040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088098060).

3119040000 is an abundant number, since it is smaller than the sum of its proper divisors (9057156120).

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

3119040000 is an frugal number, since it uses more digits than its factorization.

3119040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3119040000 is about 55848.3661354565. The cubic root of 3119040000 is about 1461.0788298269.

Adding to 3119040000 its reverse (409113), we get a palindrome (3119449113).

The spelling of 3119040000 in words is "three billion, one hundred nineteen million, forty thousand".