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815013404140 = 2251373259116573
BaseRepresentation
bin10111101110000101001…
…01011001110111101100
32212220200200111200200211
423313002211121313230
5101323121412413030
61422224553432204
7112611535426405
oct13670245316754
92786620450624
10815013404140
11294710901511
12111b5640b664
135bb17509870
142b6382789ac
15163013a312a
hexbdc2959dec

815013404140 has 96 divisors (see below), whose sum is σ = 1869267165696. Its totient is φ = 296673269760.

The previous prime is 815013404129. The next prime is 815013404141. The reversal of 815013404140 is 41404310518.

It is not an unprimeable number, because it can be changed into a prime (815013404141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49168894 + ... + 49185466.

It is an arithmetic number, because the mean of its divisors is an integer number (19471532976).

Almost surely, 2815013404140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815013404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934633582848).

815013404140 is an abundant number, since it is smaller than the sum of its proper divisors (1054253761556).

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

815013404140 is a wasteful number, since it uses less digits than its factorization.

815013404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19259 (or 19257 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 815013404140 its reverse (41404310518), we get a palindrome (856417714658).

The spelling of 815013404140 in words is "eight hundred fifteen billion, thirteen million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 2591 3796 4745 5182 9490 10364 12955 16573 18980 25910 33146 33683 51820 66292 67366 82865 134732 165730 168415 189143 215449 331460 336830 378286 430898 673660 756572 861796 945715 1077245 1209829 1891430 2154490 2419658 2458859 3782860 4308980 4839316 4917718 6049145 9835436 12098290 12294295 15727777 24196580 24588590 31455554 42940643 49177180 62911108 78638885 85881286 157277770 171762572 214703215 314555540 429406430 558228359 858812860 1116456718 2232913436 2791141795 3134666939 5582283590 6269333878 11164567180 12538667756 15673334695 31346669390 40750670207 62693338780 81501340414 163002680828 203753351035 407506702070 815013404140