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141430143440 = 245191732112549
BaseRepresentation
bin1000001110110111100…
…1001011100111010000
3111112001111202200201202
42003231321023213100
54304122104042230
6144545550450332
713134525245465
oct2035571134720
9445044680652
10141430143440
1154a866a1073
12234b08039a8
131044bc65b11
146bb954966c
153a2b56ca45
hex20ede4b9d0

141430143440 has 160 divisors (see below), whose sum is σ = 349919568000. Its totient is φ = 53011445760.

The previous prime is 141430143427. The next prime is 141430143619. The reversal of 141430143440 is 44341034141.

141430143440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55483286 + ... + 55485834.

It is an arithmetic number, because the mean of its divisors is an integer number (2186997300).

Almost surely, 2141430143440 is an apocalyptic number.

141430143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141430143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174959784000).

141430143440 is an abundant number, since it is smaller than the sum of its proper divisors (208489424560).

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

141430143440 is a wasteful number, since it uses less digits than its factorization.

141430143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 141430143440 its reverse (44341034141), we get a palindrome (185771177581).

The spelling of 141430143440 in words is "one hundred forty-one billion, four hundred thirty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 173 190 211 304 346 380 422 692 760 844 865 1055 1384 1520 1688 1730 2110 2549 2768 3287 3376 3460 4009 4220 5098 6574 6920 8018 8440 10196 12745 13148 13840 16036 16435 16880 20045 20392 25490 26296 32072 32870 36503 40090 40784 48431 50980 52592 64144 65740 73006 80180 96862 101960 131480 146012 160360 182515 193724 203920 242155 262960 292024 320720 365030 387448 440977 484310 537839 584048 693557 730060 774896 881954 968620 1075678 1387114 1460120 1763908 1937240 2151356 2204885 2689195 2774228 2920240 3467785 3527816 3874480 4302712 4409770 5378390 5548456 6935570 7055632 8378563 8605424 8819540 10218941 10756780 11096912 13871140 16757126 17639080 20437882 21513560 27742280 33514252 35278160 40875764 41892815 43027120 51094705 55484560 67028504 81751528 83785630 93046147 102189410 134057008 163503056 167571260 186092294 204378820 335142520 372184588 408757640 465230735 670285040 744369176 817515280 930461470 1488738352 1767876793 1860922940 3535753586 3721845880 7071507172 7443691760 8839383965 14143014344 17678767930 28286028688 35357535860 70715071720 141430143440