Search a number
-
+
2000402440000 = 265450010061
BaseRepresentation
bin11101000111000001010…
…001101101111101000000
321002020101111002220212021
4131013001101231331000
5230233311011040000
64130545554411224
7264344560121356
oct35070121557500
97066344086767
102000402440000
11701403032a28
12283836890b14
13116838a4b453
146cb6a0cb7d6
153707d4c411a
hex1d1c146df40

2000402440000 has 70 divisors (see below), whose sum is σ = 4960348019594. Its totient is φ = 800160960000.

The previous prime is 2000402439989. The next prime is 2000402440009. The reversal of 2000402440000 is 442040002.

It can be written as a sum of positive squares in 5 ways, for example, as 1536052869376 + 464349570624 = 1239376^2 + 681432^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000402440009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 24965031 + ... + 25045030.

Almost surely, 22000402440000 is an apocalyptic number.

2000402440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000402440000 is an abundant number, since it is smaller than the sum of its proper divisors (2959945579594).

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

2000402440000 is an frugal number, since it uses more digits than its factorization.

2000402440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010093 (or 50010068 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2000402440000 its reverse (442040002), we get a palindrome (2000844480002).

The spelling of 2000402440000 in words is "two trillion, four hundred two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 50010061 100020122 200040244 250050305 400080488 500100610 800160976 1000201220 1250251525 1600321952 2000402440 2500503050 3200643904 4000804880 5001006100 6251257625 8001609760 10002012200 12502515250 16003219520 20004024400 25005030500 31256288125 40008048800 50010061000 62512576250 80016097600 100020122000 125025152500 200040244000 250050305000 400080488000 500100610000 1000201220000 2000402440000