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143561120940 = 2232517109742767
BaseRepresentation
bin1000010110110011101…
…0001101110010101100
3111201120000120120022100
42011230322031302230
54323003121332230
6145541233015100
713241402252046
oct2055472156254
9451500516270
10143561120940
115597a567aa6
12239a63b4490
13106cb5ab853
146d3c57aa96
153b036a3660
hex216ce8dcac

143561120940 has 144 divisors (see below), whose sum is σ = 461515646592. Its totient is φ = 35997339648.

The previous prime is 143561120909. The next prime is 143561120953. The reversal of 143561120940 is 49021165341.

It is a happy number.

143561120940 is a `hidden beast` number, since 1 + 4 + 3 + 561 + 1 + 2 + 0 + 94 + 0 = 666.

143561120940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 143561120895 and 143561120904.

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 47 ways as a sum of consecutive naturals, for example, 3335437 + ... + 3378203.

It is an arithmetic number, because the mean of its divisors is an integer number (3204969768).

Almost surely, 2143561120940 is an apocalyptic number.

143561120940 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 143561120940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230757823296).

143561120940 is an abundant number, since it is smaller than the sum of its proper divisors (317954525652).

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

143561120940 is a wasteful number, since it uses less digits than its factorization.

143561120940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43896 (or 43891 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 143561120940 in words is "one hundred forty-three billion, five hundred sixty-one million, one hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1097 1530 2194 3060 3291 4388 5485 6582 9873 10970 13164 16455 18649 19746 21940 32910 37298 39492 42767 49365 55947 65820 74596 85534 93245 98730 111894 128301 167841 171068 186490 197460 213835 223788 256602 279735 335682 372980 384903 427670 513204 559470 641505 671364 727039 769806 839205 855340 1118940 1283010 1454078 1539612 1678410 1924515 2181117 2566020 2908156 3356820 3635195 3849030 4362234 6543351 7270390 7698060 8724468 10905585 13086702 14540780 21811170 26173404 32716755 43622340 46915399 65433510 93830798 130867020 140746197 187661596 234576995 281492394 422238591 469153990 562984788 703730985 797561783 844477182 938307980 1407461970 1595123566 1688954364 2111192955 2392685349 2814923940 3190247132 3987808915 4222385910 4785370698 7178056047 7975617830 8444771820 9570741396 11963426745 14356112094 15951235660 23926853490 28712224188 35890280235 47853706980 71780560470 143561120940