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1341362121660 = 223351131103197359
BaseRepresentation
bin10011100001001111011…
…010011010101110111100
311202020021211110221101000
4103201033122122232330
5133434102200343120
62504114021250300
7165624126624351
oct23411732325674
94666254427330
101341362121660
11477960a48410
12197b6b563990
139964a425542
1448ccaa08628
1524d5a2bd990
hex1384f69abbc

1341362121660 has 768 divisors, whose sum is σ = 4782351974400. Its totient is φ = 309188275200.

The previous prime is 1341362121653. The next prime is 1341362121683. The reversal of 1341362121660 is 661212631431.

1341362121660 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 621 + 21 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3736384561 + ... + 3736384919.

It is an arithmetic number, because the mean of its divisors is an integer number (6227020800).

Almost surely, 21341362121660 is an apocalyptic number.

1341362121660 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 1341362121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391175987200).

1341362121660 is an abundant number, since it is smaller than the sum of its proper divisors (3440989852740).

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

1341362121660 is a wasteful number, since it uses less digits than its factorization.

1341362121660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1341362121660 in words is "one trillion, three hundred forty-one billion, three hundred sixty-two million, one hundred twenty-one thousand, six hundred sixty".