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144300420200000 = 26551217592853
BaseRepresentation
bin100000110011110110001111…
…010010010111011001000000
3200220220222121101112122022102
4200303312033102113121000
5122403204230032400000
61230522410424325532
742252234634620461
oct4063661722273100
9626828541478272
10144300420200000
1141a84512331639
121422647a9138a8
1362696183cc78c
14278c26b4b0d68
1511a38b99a93d5
hex833d8f497640

144300420200000 has 168 divisors, whose sum is σ = 358204471274664. Its totient is φ = 57672642560000.

The previous prime is 144300420199993. The next prime is 144300420200003. The reversal of 144300420200000 is 2024003441.

It can be written as a sum of positive squares in 12 ways, for example, as 143345641071616 + 954779128384 = 11972704^2 + 977128^2 .

It is a super-2 number, since 2×1443004202000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144300420200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243103574 + ... + 243696426.

It is an arithmetic number, because the mean of its divisors is an integer number (2132169471873).

Almost surely, 2144300420200000 is an apocalyptic number.

144300420200000 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 144300420200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179102235637332).

144300420200000 is an abundant number, since it is smaller than the sum of its proper divisors (213904051074664).

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

144300420200000 is an frugal number, since it uses more digits than its factorization.

144300420200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594107 (or 594077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 144300420200000 its reverse (2024003441), we get a palindrome (144302444203441).

The spelling of 144300420200000 in words is "one hundred forty-four trillion, three hundred billion, four hundred twenty million, two hundred thousand".