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1382449939200 = 283852114173
BaseRepresentation
bin10100000111100000011…
…100000000001100000000
311220011100022110100000000
4110013200130000030000
5140122224141023300
62535031100000000
7201610253412021
oct24074034001400
94804308410000
101382449939200
11493325a4a910
121a3b17830000
13a0497981705
144aca7862c48
1525e62531c00
hex141e0700300

1382449939200 has 1944 divisors, whose sum is σ = 5814121216176. Its totient is φ = 322486272000.

The previous prime is 1382449939183. The next prime is 1382449939279. The reversal of 1382449939200 is 29399442831.

1382449939200 is a `hidden beast` number, since 1 + 3 + 8 + 244 + 9 + 9 + 392 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×13824499392002 (a number of 25 digits) contains 22 as substring.

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

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 215 ways as a sum of consecutive naturals, for example, 18937670364 + ... + 18937670436.

Almost surely, 21382449939200 is an apocalyptic number.

1382449939200 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 1382449939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907060608088).

1382449939200 is an abundant number, since it is smaller than the sum of its proper divisors (4431671276976).

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

1382449939200 is an frugal number, since it uses more digits than its factorization.

1382449939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1382449939200 in words is "one trillion, three hundred eighty-two billion, four hundred forty-nine million, nine hundred thirty-nine thousand, two hundred".