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144287446030 = 25713220815861
BaseRepresentation
bin1000011001100000110…
…0111011010000001110
3111210102122021201000121
42012120030323100032
54331000041233110
6150141300415154
713265402024650
oct2063014732016
9453378251017
10144287446030
1156212557872
1223b696a74ba
13107b5c07300
146daac086d0
153b47325cda
hex219833b40e

144287446030 has 96 divisors (see below), whose sum is σ = 321617832768. Its totient is φ = 45634867200.

The previous prime is 144287446019. The next prime is 144287446031. The reversal of 144287446030 is 30644782441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144287446031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24615300 + ... + 24621160.

It is an arithmetic number, because the mean of its divisors is an integer number (3350185758).

Almost surely, 2144287446030 is an apocalyptic number.

144287446030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144287446030 is an abundant number, since it is smaller than the sum of its proper divisors (177330386738).

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

144287446030 is a wasteful number, since it uses less digits than its factorization.

144287446030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 144287446030 in words is "one hundred forty-four billion, two hundred eighty-seven million, four hundred forty-six thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2081 2366 4162 5861 5915 10405 11722 11830 14567 20810 27053 29134 29305 41027 54106 58610 72835 76193 82054 135265 145670 152386 189371 205135 270530 351689 378742 380965 410270 533351 703378 761930 946855 990509 1066702 1758445 1893710 1981018 2461823 2666755 3516890 4923646 4952545 5333510 6933563 9905090 12196741 12309115 13867126 24393482 24618230 34667815 60983705 69335630 85377187 121967410 158557633 170754374 317115266 426885935 792788165 853771870 1109903431 1585576330 2061249229 2219806862 4122498458 5549517155 10306246145 11099034310 14428744603 20612492290 28857489206 72143723015 144287446030