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13140351250000 = 245713808637
BaseRepresentation
bin1011111100110111100111…
…1101111110111001010000
31201112012112200010202102221
42333031321331332321100
53210242414410000000
643540332150550424
72524234103502232
oct277157175767120
951465480122387
1013140351250000
114206878792197
121582831068414
1374418c250540
14335dd4168252
1517bc2613c61a
hexbf379f7ee50

13140351250000 has 160 divisors (see below), whose sum is σ = 34272264997152. Its totient is φ = 4851816000000.

The previous prime is 13140351249967. The next prime is 13140351250007. The reversal of 13140351250000 is 5215304131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3929053409856 + 9211297840144 = 1982184^2 + 3035012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140351250007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15845682 + ... + 16654318.

Almost surely, 213140351250000 is an apocalyptic number.

13140351250000 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 13140351250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136132498576).

13140351250000 is an abundant number, since it is smaller than the sum of its proper divisors (21131913747152).

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

13140351250000 is an frugal number, since it uses more digits than its factorization.

13140351250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808693 (or 808657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 13140351250000 its reverse (5215304131), we get a palindrome (13145566554131).

The spelling of 13140351250000 in words is "thirteen trillion, one hundred forty billion, three hundred fifty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3125 3250 5000 5200 6250 6500 8125 10000 12500 13000 15625 16250 25000 26000 31250 32500 40625 50000 62500 65000 78125 81250 125000 130000 156250 162500 203125 250000 312500 325000 406250 625000 650000 808637 812500 1015625 1250000 1617274 1625000 2031250 3234548 3250000 4043185 4062500 6469096 8086370 8125000 10512281 12938192 16172740 16250000 20215925 21024562 32345480 40431850 42049124 52561405 64690960 80863700 84098248 101079625 105122810 161727400 168196496 202159250 210245620 262807025 323454800 404318500 420491240 505398125 525614050 808637000 840982480 1010796250 1051228100 1314035125 1617274000 2021592500 2102456200 2526990625 2628070250 4043185000 4204912400 5053981250 5256140500 6570175625 8086370000 10107962500 10512281000 12634953125 13140351250 20215925000 21024562000 25269906250 26280702500 32850878125 40431850000 50539812500 52561405000 63174765625 65701756250 101079625000 105122810000 126349531250 131403512500 164254390625 202159250000 252699062500 262807025000 328508781250 505398125000 525614050000 657017562500 821271953125 1010796250000 1314035125000 1642543906250 2628070250000 3285087812500 6570175625000 13140351250000