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2013141124040 = 235172960501653
BaseRepresentation
bin11101010010111000100…
…011111100001111001000
321010110021021012010012212
4131102320203330033020
5230440403111432130
64140454012524252
7265305341134034
oct35227043741710
97113237163185
102013141124040
1170684a755882
122861b0a80688
13117ab8c47c07
146d617c731c4
1537576a08e95
hex1d4b88fc3c8

2013141124040 has 32 divisors (see below), whose sum is σ = 4796012679480. Its totient is φ = 757888422912.

The previous prime is 2013141124039. The next prime is 2013141124061. The reversal of 2013141124040 is 404211413102.

It can be written as a sum of positive squares in 4 ways, for example, as 1756361777284 + 256779346756 = 1325278^2 + 506734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013141123997 and 2013141124015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480250147 + ... + 1480251506.

Almost surely, 22013141124040 is an apocalyptic number.

2013141124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013141124040 is an abundant number, since it is smaller than the sum of its proper divisors (2782871555440).

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

2013141124040 is a wasteful number, since it uses less digits than its factorization.

2013141124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960501681 (or 2960501677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2013141124040 its reverse (404211413102), we get a palindrome (2417352537142).

The spelling of 2013141124040 in words is "two trillion, thirteen billion, one hundred forty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2960501653 5921003306 11842006612 14802508265 23684013224 29605016530 50328528101 59210033060 100657056202 118420066120 201314112404 251642640505 402628224808 503285281010 1006570562020 2013141124040