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141666055300 = 225271172725307
BaseRepresentation
bin1000001111101111110…
…1000111010010000100
3111112122221200020222001
42003323331013102010
54310113002232200
6145025215115044
713143421413250
oct2037375072204
9445587606861
10141666055300
1155097882150
1223557812a84
1310488ab4c33
146bdc9d9260
153a4211c76a
hex20fbf47484

141666055300 has 144 divisors (see below), whose sum is σ = 383813434368. Its totient is φ = 44093174400.

The previous prime is 141666055247. The next prime is 141666055301. The reversal of 141666055300 is 3550666141.

141666055300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141666055300.

It is not an unprimeable number, because it can be changed into a prime (141666055301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5585247 + ... + 5610553.

It is an arithmetic number, because the mean of its divisors is an integer number (2665371072).

Almost surely, 2141666055300 is an apocalyptic number.

141666055300 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 141666055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191906717184).

141666055300 is an abundant number, since it is smaller than the sum of its proper divisors (242147379068).

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

141666055300 is a wasteful number, since it uses less digits than its factorization.

141666055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26066 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 141666055300 in words is "one hundred forty-one billion, six hundred sixty-six million, fifty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 727 770 1100 1454 1540 1925 2908 3635 3850 5089 7270 7700 7997 10178 14540 15994 18175 20356 25307 25445 31988 36350 39985 50614 50890 55979 72700 79970 101228 101780 111958 126535 127225 159940 177149 199925 223916 253070 254450 278377 279895 354298 399850 506140 508900 556754 559790 632675 708596 799700 885745 1113508 1119580 1265350 1391885 1399475 1771490 1948639 2530700 2783770 2798950 3542980 3897278 4428725 5567540 5597900 6959425 7794556 8857450 9743195 13918850 17714900 18398189 19486390 27837700 36796378 38972780 48715975 73592756 91990945 97431950 128787323 183981890 194863900 202380079 257574646 367963780 404760158 459954725 515149292 643936615 809520316 919909450 1011900395 1287873230 1416660553 1839818900 2023800790 2575746460 2833321106 3219683075 4047601580 5059501975 5666642212 6439366150 7083302765 10119003950 12878732300 14166605530 20238007900 28333211060 35416513825 70833027650 141666055300