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1341332466432 = 2837253212689
BaseRepresentation
bin10011100001001101101…
…001010010101100000000
311202020012202200022001020
4103201031221102230000
5133434022102411212
62504111041505440
7165623316563100
oct23411551225400
94666182608036
101341332466432
11477946232a62
12197b61642280
139964424147a
1448cc6ac9200
1524d578b1d8c
hex1384da52b00

1341332466432 has 324 divisors, whose sum is σ = 4232906906760. Its totient is φ = 375977312256.

The previous prime is 1341332466421. The next prime is 1341332466473. The reversal of 1341332466432 is 2346642331431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105701944 + ... + 105714632.

It is an arithmetic number, because the mean of its divisors is an integer number (13064527490).

Almost surely, 21341332466432 is an apocalyptic number.

1341332466432 is a gapful number since it is divisible by the number (12) 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 1341332466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116453453380).

1341332466432 is an abundant number, since it is smaller than the sum of its proper divisors (2891574440328).

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

1341332466432 is an equidigital number, since it uses as much as digits as its factorization.

1341332466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12828 (or 12754 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

Adding to 1341332466432 its reverse (2346642331431), we get a palindrome (3687974797863).

The spelling of 1341332466432 in words is "one trillion, three hundred forty-one billion, three hundred thirty-two million, four hundred sixty-six thousand, four hundred thirty-two".