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144310203100 = 2252729139199257
BaseRepresentation
bin1000011001100110001…
…1101111001011011100
3111210111020002212212001
42012121203233023130
54331021402444400
6150143432252044
713266066326050
oct2063143571334
9453436085761
10144310203100
1156224390568
1223b75241024
13107ba84462b
146dadc4dc60
153b4931da6a
hex21998ef2dc

144310203100 has 288 divisors, whose sum is σ = 376225920000. Its totient is φ = 47006023680.

The previous prime is 144310203077. The next prime is 144310203101. The reversal of 144310203100 is 1302013441.

It is a super-2 number, since 2×1443102031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144310203101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561518172 + ... + 561518428.

It is an arithmetic number, because the mean of its divisors is an integer number (1306340000).

Almost surely, 2144310203100 is an apocalyptic number.

144310203100 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 144310203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960000).

144310203100 is an abundant number, since it is smaller than the sum of its proper divisors (231915716900).

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

144310203100 is a wasteful number, since it uses less digits than its factorization.

144310203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 144310203100 its reverse (1302013441), we get a palindrome (145612216541).

The spelling of 144310203100 in words is "one hundred forty-four billion, three hundred ten million, two hundred three thousand, one hundred".