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1339114140 = 22335721317229
BaseRepresentation
bin100111111010001…
…0100001010011100
310110022210001021000
41033310110022130
510220303123030
6340513510300
745120165600
oct11764241234
93408701230
101339114140
11627993301
12314572390
13184581540
14c9bc3500
157c869860
hex4fd1429c

1339114140 has 576 divisors, whose sum is σ = 5550249600. Its totient is φ = 264757248.

The previous prime is 1339114109. The next prime is 1339114141. The reversal of 1339114140 is 414119331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339114141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5847546 + ... + 5847774.

It is an arithmetic number, because the mean of its divisors is an integer number (9635850).

Almost surely, 21339114140 is an apocalyptic number.

1339114140 is a gapful number since it is divisible by the number (10) 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 1339114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775124800).

1339114140 is an abundant number, since it is smaller than the sum of its proper divisors (4211135460).

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

1339114140 is a wasteful number, since it uses less digits than its factorization.

1339114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1339114140 is about 36593.9085094774. The cubic root of 1339114140 is about 1102.2307732634.

The spelling of 1339114140 in words is "one billion, three hundred thirty-nine million, one hundred fourteen thousand, one hundred forty".