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144211331000 = 23531113110121
BaseRepresentation
bin1000011001001110101…
…0100100011110111000
3111210020100001122211102
42012103222210132320
54330321100043000
6150125541150532
713263456042152
oct2062352443670
9453210048742
10144211331000
115618359a490
1223b480bb448
13107a3207329
146da0a73ad2
153b407dd3d5
hex2193aa47b8

144211331000 has 64 divisors (see below), whose sum is σ = 368132225760. Its totient is φ = 52440480000.

The previous prime is 144211330981. The next prime is 144211331027. The reversal of 144211331000 is 133112441.

It is a super-2 number, since 2×1442113310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544061 + ... + 6566060.

Almost surely, 2144211331000 is an apocalyptic number.

144211331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144211331000 is an abundant number, since it is smaller than the sum of its proper divisors (223920894760).

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

144211331000 is a wasteful number, since it uses less digits than its factorization.

144211331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13110153 (or 13110139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 144211331000 its reverse (133112441), we get a palindrome (144344443441).

The spelling of 144211331000 in words is "one hundred forty-four billion, two hundred eleven million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13110121 26220242 52440484 65550605 104880968 131101210 144211331 262202420 288422662 327753025 524404840 576845324 655506050 721056655 1153690648 1311012100 1442113310 1638765125 2622024200 2884226620 3277530250 3605283275 5768453240 6555060500 7210566550 13110121000 14421133100 18026416375 28842266200 36052832750 72105665500 144211331000