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20140141340 = 2251143101107197
BaseRepresentation
bin10010110000011100…
…100010101100011100
31220222121020012000202
4102300130202230130
5312221334010330
613130253043032
71312043243144
oct226034425434
956877205022
1020140141340
1185a5648310
123aa0a86478
131b8c7343c7
14d90b65924
157cd1ee445
hex4b0722b1c

20140141340 has 192 divisors, whose sum is σ = 48369581568. Its totient is φ = 6980736000.

The previous prime is 20140141313. The next prime is 20140141369. The reversal of 20140141340 is 4314104102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102234122 + ... + 102234318.

It is an arithmetic number, because the mean of its divisors is an integer number (251924904).

Almost surely, 220140141340 is an apocalyptic number.

20140141340 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 20140141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24184790784).

20140141340 is an abundant number, since it is smaller than the sum of its proper divisors (28229440228).

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

20140141340 is a wasteful number, since it uses less digits than its factorization.

20140141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20140141340 its reverse (4314104102), we get a palindrome (24454245442).

The spelling of 20140141340 in words is "twenty billion, one hundred forty million, one hundred forty-one thousand, three hundred forty".