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1383314708736 = 283210722292
BaseRepresentation
bin10100001000010011111…
…110110101100100000000
311220020120120200011210100
4110020103332311210000
5140131012031134421
62535252551002400
7201640554006012
oct24102376654400
94806516604710
101383314708736
1149372a0a9a84
121a4119369400
13a05a4b9146c
144ad4a64c1b2
1525eb33eec26
hex14213fb5900

1383314708736 has 243 divisors, whose sum is σ = 4043718636321. Its totient is φ = 454800771072.

The previous prime is 1383314708693. The next prime is 1383314708749. The reversal of 1383314708736 is 6378074133831.

The square root of 1383314708736 is 1176144.

It is a perfect power (a square), and thus also a powerful number.

1383314708736 is a `hidden beast` number, since 1 + 38 + 3 + 31 + 470 + 87 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1288352123136 + 94962585600 = 1135056^2 + 308160^2 .

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 26 ways as a sum of consecutive naturals, for example, 6040675470 + ... + 6040675698.

Almost surely, 21383314708736 is an apocalyptic number.

1383314708736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1383314708736 is the 1176144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383314708736

1383314708736 is an abundant number, since it is smaller than the sum of its proper divisors (2660403927585).

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

1383314708736 is an frugal number, since it uses more digits than its factorization.

1383314708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 13833 and 14708736, that added together give a square (14722569 = 38372).

The spelling of 1383314708736 in words is "one trillion, three hundred eighty-three billion, three hundred fourteen million, seven hundred eight thousand, seven hundred thirty-six".