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1313041421448 = 233218236686409
BaseRepresentation
bin10011000110110111010…
…111100001010010001000
311122112012010002022020100
4103012313113201102020
5133003102100441243
62443111454325400
7163602250634301
oct23066727412210
94575163068210
101313041421448
11466948719149
12192586ab9860
1396a85c3c973
14477a16177a8
152424dd0a0d3
hex131b75e1488

1313041421448 has 24 divisors (see below), whose sum is σ = 3556153849950. Its totient is φ = 437680473792.

The previous prime is 1313041421423. The next prime is 1313041421449. The reversal of 1313041421448 is 8441241403131.

1313041421448 is a `hidden beast` number, since 1 + 3 + 130 + 41 + 42 + 1 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1312257309444 + 784112004 = 1145538^2 + 28002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313041421449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9118343133 + ... + 9118343276.

Almost surely, 21313041421448 is an apocalyptic number.

1313041421448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313041421448 is an abundant number, since it is smaller than the sum of its proper divisors (2243112428502).

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

1313041421448 is a wasteful number, since it uses less digits than its factorization.

1313041421448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236686421 (or 18236686414 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 1313041421448 its reverse (8441241403131), we get a palindrome (9754282824579).

It can be divided in two parts, 1313041 and 421448, that added together give a square (1734489 = 13172).

The spelling of 1313041421448 in words is "one trillion, three hundred thirteen billion, forty-one million, four hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18236686409 36473372818 54710059227 72946745636 109420118454 145893491272 164130177681 218840236908 328260355362 437680473816 656520710724 1313041421448