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384020402000 = 2453192010201
BaseRepresentation
bin1011001011010010110…
…01100100111101010000
31100201020001010200110212
411211221121210331100
522242433210331000
6452225545543252
736513245362514
oct5455131447520
91321201120425
10384020402000
11138953561964
12625137a4b28
132a29cb79501
141482dc22144
159ec8ad2c35
hex5969664f50

384020402000 has 40 divisors (see below), whose sum is σ = 928561336872. Its totient is φ = 153608160000.

The previous prime is 384020401907. The next prime is 384020402113. The reversal of 384020402000 is 204020483.

It can be written as a sum of positive squares in 4 ways, for example, as 8687731264 + 375332670736 = 93208^2 + 612644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96003101 + ... + 96007100.

Almost surely, 2384020402000 is an apocalyptic number.

It is an amenable number.

384020402000 is an abundant number, since it is smaller than the sum of its proper divisors (544540934872).

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

384020402000 is a wasteful number, since it uses less digits than its factorization.

384020402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192010224 (or 192010208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 384020402000 its reverse (204020483), we get a palindrome (384224422483).

The spelling of 384020402000 in words is "three hundred eighty-four billion, twenty million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 192010201 384020402 768040804 960051005 1536081608 1920102010 3072163216 3840204020 4800255025 7680408040 9600510050 15360816080 19201020100 24001275125 38402040200 48002550250 76804080400 96005100500 192010201000 384020402000