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13420041140 = 22511437319433
BaseRepresentation
bin11000111111110010…
…11001001110110100
31021122021011201120202
430133321121032310
5204441012304030
610055354020032
7653363316242
oct143771311664
937567151522
1013420041140
1157672995a0
122726417618
13135b40c35c
14914469792
15538273745
hex31fe593b4

13420041140 has 96 divisors (see below), whose sum is σ = 31891660416. Its totient is φ = 4700989440.

The previous prime is 13420041139. The next prime is 13420041149. The reversal of 13420041140 is 4114002431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420041149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680864 + ... + 700296.

It is an arithmetic number, because the mean of its divisors is an integer number (332204796).

Almost surely, 213420041140 is an apocalyptic number.

13420041140 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 13420041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945830208).

13420041140 is an abundant number, since it is smaller than the sum of its proper divisors (18471619276).

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

13420041140 is a wasteful number, since it uses less digits than its factorization.

13420041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19569 (or 19567 counting only the distinct ones).

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

Adding to 13420041140 its reverse (4114002431), we get a palindrome (17534043571).

The spelling of 13420041140 in words is "thirteen billion, four hundred twenty million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 73 86 110 146 172 215 220 292 365 430 473 730 803 860 946 1460 1606 1892 2365 3139 3212 4015 4730 6278 8030 9460 12556 15695 16060 19433 31390 34529 38866 62780 69058 77732 97165 138116 172645 194330 213763 345290 388660 427526 690580 835619 855052 1068815 1418609 1671238 2137630 2837218 3342476 4178095 4275260 5674436 7093045 8356190 9191809 14186090 15604699 16712380 18383618 28372180 31209398 36767236 45959045 61000187 62418796 78023495 91918090 122000374 156046990 183836180 244000748 305000935 312093980 610001870 671002057 1220003740 1342004114 2684008228 3355010285 6710020570 13420041140