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1383141934080 = 210335174091439
BaseRepresentation
bin10100001000001001101…
…011110000010000000000
311220020010112120022112000
4110020021223300100000
5140130133313342310
62535223455504000
7201633355312554
oct24101153602000
94806115508460
101383141934080
11493650621905
121a408b528000
13a057814a23a
144ad31715864
1525ea31724c0
hex14209af0400

1383141934080 has 704 divisors, whose sum is σ = 5220930816000. Its totient is φ = 346052100096.

The previous prime is 1383141934051. The next prime is 1383141934087. The reversal of 1383141934080 is 804391413831.

1383141934080 is a `hidden beast` number, since 1 + 38 + 314 + 193 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1383141934087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961182001 + ... + 961183439.

Almost surely, 21383141934080 is an apocalyptic number.

1383141934080 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 1383141934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610465408000).

1383141934080 is an abundant number, since it is smaller than the sum of its proper divisors (3837788881920).

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

1383141934080 is a wasteful number, since it uses less digits than its factorization.

1383141934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1383141934080 in words is "one trillion, three hundred eighty-three billion, one hundred forty-one million, nine hundred thirty-four thousand, eighty".