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144413025304130 = 251131616397108529
BaseRepresentation
bin100000110101011111000111…
…000100101111111001000010
3200221022202021000220121201122
4200311133013010233321002
5122412030333434213010
61231050232234432242
742263332251330632
oct4065370704577102
9627282230817648
10144413025304130
1142018246a42a70
1214244265b92682
1362771225388cb
1427938b06646c2
1511a67aa63e855
hex8357c712fe42

144413025304130 has 128 divisors (see below), whose sum is σ = 297570214287360. Its totient is φ = 49978446336000.

The previous prime is 144413025304109. The next prime is 144413025304147. The reversal of 144413025304130 is 31403520314441.

144413025304130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330585706 + ... + 1330694234.

It is an arithmetic number, because the mean of its divisors is an integer number (2324767299120).

Almost surely, 2144413025304130 is an apocalyptic number.

144413025304130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144413025304130 is an abundant number, since it is smaller than the sum of its proper divisors (153157188983230).

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

144413025304130 is a wasteful number, since it uses less digits than its factorization.

144413025304130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115036.

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 144413025304130 its reverse (31403520314441), we get a palindrome (175816545618571).

The spelling of 144413025304130 in words is "one hundred forty-four trillion, four hundred thirteen billion, twenty-five million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 61 62 110 122 155 305 310 341 610 671 682 1342 1705 1891 3355 3410 3782 6397 6710 9455 12794 18910 20801 31985 41602 63970 70367 104005 108529 140734 198307 208010 217058 351835 390217 396614 542645 703670 780434 991535 1085290 1193819 1951085 1983070 2181377 2387638 3364399 3902170 4292387 4362754 5969095 6620269 6728798 8584774 10906885 11938190 12096727 13240538 16821995 21461935 21813770 24193454 33101345 33643990 37008389 42923870 60483635 66202690 72822959 74016778 120967270 133063997 145645918 185041945 205228339 266127994 364114795 370083890 410456678 665319985 694260013 728229590 1026141695 1330639970 1388520026 2052283390 2257511729 3471300065 4515023458 6942600130 7636860143 11287558645 15273720286 21522060403 22575117290 38184300715 42349860793 43044120806 76368601430 84699721586 107610302015 211749303965 215220604030 236742664433 423498607930 465848468723 473485328866 931696937446 1183713322165 1312845684583 2329242343615 2367426644330 2625691369166 4658484687230 6564228422915 13128456845830 14441302530413 28882605060826 72206512652065 144413025304130