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13400311040 = 28582712659
BaseRepresentation
bin11000111101011100…
…01000010100000000
31021120220001022222022
430132232020110000
5204420434423130
610053411101012
7653033523134
oct143656102400
937526038868
1013400311040
115757143026
12271b8a1768
1313572c1a3c
149119b13c4
155366777e5
hex31eb88500

13400311040 has 72 divisors (see below), whose sum is σ = 32139283680. Its totient is φ = 5353220096.

The previous prime is 13400311019. The next prime is 13400311049. The reversal of 13400311040 is 4011300431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400311049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052231 + ... + 1064889.

It is an arithmetic number, because the mean of its divisors is an integer number (446378940).

Almost surely, 213400311040 is an apocalyptic number.

13400311040 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 13400311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069641840).

13400311040 is an abundant number, since it is smaller than the sum of its proper divisors (18738972640).

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

13400311040 is an equidigital number, since it uses as much as digits as its factorization.

13400311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13507 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13400311040 its reverse (4011300431), we get a palindrome (17411611471).

The spelling of 13400311040 in words is "thirteen billion, four hundred million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 827 1280 1654 3308 4135 6616 8270 12659 13232 16540 25318 26464 33080 50636 52928 63295 66160 101272 105856 126590 132320 202544 211712 253180 264640 405088 506360 529280 810176 1012720 1058560 1620352 2025440 3240704 4050880 8101760 10468993 16203520 20937986 41875972 52344965 83751944 104689930 167503888 209379860 335007776 418759720 670015552 837519440 1340031104 1675038880 2680062208 3350077760 6700155520 13400311040