Search a number
-
+
1418519112256 = 26536
BaseRepresentation
bin10100101001000110010…
…100111110101001000000
312000121110000222011122101
4110221012110332221000
5141220111343043011
63003354135320144
7204325140336661
oct24510624765100
95017400864571
101418519112256
114a7655070444
121aab03220054
13a39c555186c
144c929d65368
1526d73da92c1
hex14a4653ea40

1418519112256 has 49 divisors (see below), whose sum is σ = 2869006053061. Its totient is φ = 695877300352.

The previous prime is 1418519112251. The next prime is 1418519112281. The reversal of 1418519112256 is 6522119158141.

The square root of 1418519112256 is 1191016.

The cubic root of 1418519112256 is 11236.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 13857998400 + 1404661113856 = 117720^2 + 1185184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1418519112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 26764511526 + ... + 26764511578.

Almost surely, 21418519112256 is an apocalyptic number.

1418519112256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1418519112256 is the 1191016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418519112256

1418519112256 is an abundant number, since it is smaller than the sum of its proper divisors (1450486940805).

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

1418519112256 is an frugal number, since it uses more digits than its factorization.

1418519112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 55 counting only the distinct ones).

The product of its digits is 172800, while the sum is 46.

The spelling of 1418519112256 in words is "one trillion, four hundred eighteen billion, five hundred nineteen million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 22472 44944 89888 148877 179776 297754 595508 1191016 2382032 4764064 7890481 9528128 15780962 31561924 63123848 126247696 252495392 418195493 504990784 836390986 1672781972 3345563944 6691127888 13382255776 22164361129 26764511552 44328722258 88657444516 177314889032 354629778064 709259556128 1418519112256