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1341343994760 = 23325721122389307
BaseRepresentation
bin10011100001001110010…
…101010001001110001000
311202020020120100222221100
4103201032111101032020
5133434033030313020
62504112132541400
7165623516556300
oct23411625211610
94666216328840
101341343994760
11477951797400
12197b65481860
1399646749873
1448cc844a600
1524d588dca90
hex1384e551388

1341343994760 has 1728 divisors, whose sum is σ = 5900880585600. Its totient is φ = 262748344320.

The previous prime is 1341343994747. The next prime is 1341343994777. The reversal of 1341343994760 is 674993431431.

1341343994760 is a `hidden beast` number, since 1 + 3 + 4 + 134 + 39 + 9 + 476 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1341343994697 and 1341343994706.

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 431 ways as a sum of consecutive naturals, for example, 4369198527 + ... + 4369198833.

It is an arithmetic number, because the mean of its divisors is an integer number (3414861450).

Almost surely, 21341343994760 is an apocalyptic number.

1341343994760 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 1341343994760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950440292800).

1341343994760 is an abundant number, since it is smaller than the sum of its proper divisors (4559536590840).

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

1341343994760 is a wasteful number, since it uses less digits than its factorization.

1341343994760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1341343994760 in words is "one trillion, three hundred forty-one billion, three hundred forty-three million, nine hundred ninety-four thousand, seven hundred sixty".