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1341258738820 = 225711132317916273
BaseRepresentation
bin10011100001001001010…
…000000010110010000100
311202020000121221112202221
4103201021100002302010
5133433344214120240
62504055445342124
7165621433112560
oct23411120026204
94666017845687
101341258738820
11477908656350
12197b40a07944
1399631b99070
1448cbadb66a0
1524d5119ba4a
hex13849402c84

1341258738820 has 384 divisors, whose sum is σ = 3968502128640. Its totient is φ = 367033835520.

The previous prime is 1341258738767. The next prime is 1341258738829. The reversal of 1341258738820 is 288378521431.

It is a happy number.

It is a super-2 number, since 2×13412587388202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1341258738829) 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 127 ways as a sum of consecutive naturals, for example, 82414204 + ... + 82430476.

It is an arithmetic number, because the mean of its divisors is an integer number (10334640960).

Almost surely, 21341258738820 is an apocalyptic number.

1341258738820 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 1341258738820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984251064320).

1341258738820 is an abundant number, since it is smaller than the sum of its proper divisors (2627243389820).

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

1341258738820 is a wasteful number, since it uses less digits than its factorization.

1341258738820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16515 (or 16513 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 1341258738820 in words is "one trillion, three hundred forty-one billion, two hundred fifty-eight million, seven hundred thirty-eight thousand, eight hundred twenty".