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1341144341040 = 24357432974451
BaseRepresentation
bin10011100001000010011…
…011101001101000110000
311202012201122200112112010
4103201002123221220300
5133433130422403130
62504040241402520
7165615543543420
oct23410233515060
94665648615463
101341144341040
1147785a020629
12197b0a639440
139961428407a
1448ca9b18480
1524d461010b0
hex138426e9a30

1341144341040 has 480 divisors, whose sum is σ = 4915806368256. Its totient is φ = 296264908800.

The previous prime is 1341144341027. The next prime is 1341144341071. The reversal of 1341144341040 is 401434411431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1341144340989 and 1341144341007.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 301310815 + ... + 301315265.

Almost surely, 21341144341040 is an apocalyptic number.

1341144341040 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 1341144341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457903184128).

1341144341040 is an abundant number, since it is smaller than the sum of its proper divisors (3574662027216).

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

1341144341040 is a wasteful number, since it uses less digits than its factorization.

1341144341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1341144341040 its reverse (401434411431), we get a palindrome (1742578752471).

The spelling of 1341144341040 in words is "one trillion, three hundred forty-one billion, one hundred forty-four million, three hundred forty-one thousand, forty".