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144053205030 = 2345761741177
BaseRepresentation
bin1000011000101000111…
…1010111100000100110
3111202211022112000210000
42012022033113200212
54330010110030110
6150102132042130
713256526016410
oct2061217274046
9452738460700
10144053205030
1156102308069
1223b03163346
1310779521877
146d87a719b0
153b319a61c0
hex218a3d7826

144053205030 has 160 divisors (see below), whose sum is σ = 443406021696. Its totient is φ = 32872283136.

The previous prime is 144053205029. The next prime is 144053205047. The reversal of 144053205030 is 30502350441.

144053205030 is a `hidden beast` number, since 14 + 40 + 532 + 0 + 50 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144053204985 and 144053205003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3477802 + ... + 3518978.

Almost surely, 2144053205030 is an apocalyptic number.

144053205030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144053205030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221703010848).

144053205030 is an abundant number, since it is smaller than the sum of its proper divisors (299352816666).

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

144053205030 is a wasteful number, since it uses less digits than its factorization.

144053205030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41820 (or 41811 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 144053205030 its reverse (30502350441), we get a palindrome (174555555471).

The spelling of 144053205030 in words is "one hundred forty-four billion, fifty-three million, two hundred five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 617 630 810 945 1134 1234 1851 1890 2835 3085 3702 4319 5553 5670 6170 8638 9255 11106 12957 16659 18510 21595 25914 27765 33318 38871 41177 43190 49977 55530 64785 77742 82354 83295 99954 116613 123531 129570 166590 194355 205885 233226 247062 249885 288239 349839 370593 388710 411770 499770 576478 583065 617655 699678 741186 864717 1111779 1166130 1235310 1441195 1729434 1749195 1852965 2223558 2594151 2882390 3335337 3498390 3705930 4323585 5188302 5558895 6670674 7782453 8647170 11117790 12970755 15564906 16676685 23347359 25406209 25941510 33353370 38912265 46694718 50812418 76218627 77824530 116736795 127031045 152437254 177843463 228655881 233473590 254062090 355686926 381093135 457311762 533530389 685967643 762186270 889217315 1067060778 1143279405 1371935286 1600591167 1778434630 2057902929 2286558810 2667651945 3201182334 3429838215 4115805858 4801773501 5335303890 6859676430 8002955835 9603547002 10289514645 14405320503 16005911670 20579029290 24008867505 28810641006 48017735010 72026602515 144053205030