Search a number
-
+
141010471440 = 243251910307783
BaseRepresentation
bin1000001101010011100…
…0010000101000010000
3111110222021002010222100
42003110320100220100
54302242140041230
6144440155440400
713121241142116
oct2032470205020
9443867063870
10141010471440
115489080a303
12233b4156100
13103b30274a7
146b79903ab6
153a047c0660
hex20d4e10a10

141010471440 has 120 divisors (see below), whose sum is σ = 498484434240. Its totient is φ = 35623694592.

The previous prime is 141010471439. The next prime is 141010471487. The reversal of 141010471440 is 44174010141.

141010471440 is a `hidden beast` number, since 1 + 410 + 104 + 7 + 144 + 0 = 666.

141010471440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5140212 + ... + 5167571.

It is an arithmetic number, because the mean of its divisors is an integer number (4154036952).

Almost surely, 2141010471440 is an apocalyptic number.

141010471440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141010471440 is an abundant number, since it is smaller than the sum of its proper divisors (357473962800).

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

141010471440 is a wasteful number, since it uses less digits than its factorization.

141010471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307821 (or 10307812 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 141010471440 its reverse (44174010141), we get a palindrome (185184481581).

It can be divided in two parts, 1410104 and 71440, that added together give a cube (1481544 = 1143).

The spelling of 141010471440 in words is "one hundred forty-one billion, ten million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 10307783 20615566 30923349 41231132 51538915 61846698 82462264 92770047 103077830 123693396 154616745 164924528 185540094 195847877 206155660 247386792 309233490 371080188 391695754 412311320 463850235 494773584 587543631 618466980 742160376 783391508 824622640 927700470 979239385 1175087262 1236933960 1484320752 1566783016 1762630893 1855400940 1958478770 2350174524 2473867920 2937718155 3133566032 3525261786 3710801880 3916957540 4700349048 5875436310 7050523572 7421603760 7833915080 8813154465 9400698096 11750872620 14101047144 15667830160 17626308930 23501745240 28202094288 35252617860 47003490480 70505235720 141010471440