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1341377718912 = 27347211221821
BaseRepresentation
bin10011100001010000010…
…101111010101010000000
311202020022220211100210000
4103201100111322222000
5133434120144001122
62504115335440000
7165624406325400
oct23412025725200
94666286740700
101341377718912
11477969830900
12197b74826000
139965072699a
1448cccb08800
1524d5b8500ac
hex1385057aa80

1341377718912 has 720 divisors, whose sum is σ = 5104422317610. Its totient is φ = 348393830400.

The previous prime is 1341377718797. The next prime is 1341377718913. The reversal of 1341377718912 is 2198177731431.

1341377718912 is a `hidden beast` number, since 1 + 3 + 413 + 77 + 71 + 8 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1097918369856 + 243459349056 = 1047816^2 + 493416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1341377718913) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61460962 + ... + 61482782.

Almost surely, 21341377718912 is an apocalyptic number.

1341377718912 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 1341377718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552211158805).

1341377718912 is an abundant number, since it is smaller than the sum of its proper divisors (3763044598698).

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

1341377718912 is a wasteful number, since it uses less digits than its factorization.

1341377718912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21844 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 1341377718912 in words is "one trillion, three hundred forty-one billion, three hundred seventy-seven million, seven hundred eighteen thousand, nine hundred twelve".