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144113654600 = 23521742386369
BaseRepresentation
bin1000011000110111010…
…1111101101101001000
3111202222112021011222222
42012031311331231020
54330121043421400
6150112131433212
713261161565256
oct2061565755510
9452875234888
10144113654600
1156133445793
1223b1b455808
1310788bc8346
146d91ac95d6
153b36e47185
hex218dd7db48

144113654600 has 48 divisors (see below), whose sum is σ = 354773916900. Its totient is φ = 54254551040.

The previous prime is 144113654599. The next prime is 144113654603. The reversal of 144113654600 is 6456311441.

It can be written as a sum of positive squares in 6 ways, for example, as 78860995684 + 65252658916 = 280822^2 + 255446^2 .

It is not an unprimeable number, because it can be changed into a prime (144113654603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21189785 + ... + 21196584.

Almost surely, 2144113654600 is an apocalyptic number.

144113654600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144113654600 is an abundant number, since it is smaller than the sum of its proper divisors (210660262300).

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

144113654600 is a wasteful number, since it uses less digits than its factorization.

144113654600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42386402 (or 42386393 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 144113654600 in words is "one hundred forty-four billion, one hundred thirteen million, six hundred fifty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 42386369 84772738 169545476 211931845 339090952 423863690 720568273 847727380 1059659225 1441136546 1695454760 2119318450 2882273092 3602841365 4238636900 5764546184 7205682730 8477273800 14411365460 18014206825 28822730920 36028413650 72056827300 144113654600