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1383811416064 = 215711273683
BaseRepresentation
bin10100001000110001100…
…101101000000000000000
311220021212012022112011001
4110020301211220000000
5140133021210303224
62535414133101344
7201656064650230
oct24106145500000
94807765275131
101383811416064
11493964517600
121a4237787854
13a0653a6291c
144ad965c7cc0
1525ee1d17544
hex14231968000

1383811416064 has 384 divisors, whose sum is σ = 3529415211840. Its totient is φ = 530983157760.

The previous prime is 1383811416059. The next prime is 1383811416103. The reversal of 1383811416064 is 4606141183831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026077867 + ... + 2026078549.

Almost surely, 21383811416064 is an apocalyptic number.

1383811416064 is a gapful number since it is divisible by the number (14) 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 1383811416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764707605920).

1383811416064 is an abundant number, since it is smaller than the sum of its proper divisors (2145603795776).

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

1383811416064 is an frugal number, since it uses more digits than its factorization.

1383811416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

Adding to 1383811416064 its reverse (4606141183831), we get a palindrome (5989952599895).

The spelling of 1383811416064 in words is "one trillion, three hundred eighty-three billion, eight hundred eleven million, four hundred sixteen thousand, sixty-four".