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1341994446144 = 2632113142116229
BaseRepresentation
bin10011100001110101000…
…110100010110101000000
311202021220220022100111100
4103201311012202311000
5133441401034234034
62504300450214400
7165645605403102
oct23416506426500
94667826270440
101341994446144
11478155974130
12198107284400
139971b42b141
1448d4a9a7572
1524d95a74099
hex138751a2d40

1341994446144 has 336 divisors, whose sum is σ = 4342194455040. Its totient is φ = 392587776000.

The previous prime is 1341994446127. The next prime is 1341994446167. The reversal of 1341994446144 is 4416444991431.

1341994446144 is a `hidden beast` number, since 1 + 3 + 4 + 19 + 9 + 4 + 4 + 4 + 614 + 4 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 82683022 + ... + 82699250.

Almost surely, 21341994446144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341994446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171097227520).

1341994446144 is an abundant number, since it is smaller than the sum of its proper divisors (3000200008896).

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

1341994446144 is a wasteful number, since it uses less digits than its factorization.

1341994446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16710 (or 16697 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1341994446144 in words is "one trillion, three hundred forty-one billion, nine hundred ninety-four million, four hundred forty-six thousand, one hundred forty-four".