Search a number
-
+
142083856300 = 2252171916326987
BaseRepresentation
bin1000010001010011011…
…0111001011110101100
3111120202001211202012011
42010110312321132230
54311441431400200
6145134502051004
713156653565051
oct2042466713654
9446661752164
10142083856300
11552916a6231
1223653719a64
1310524519a69
146c3c2b5028
153a68b4a5ba
hex2114db97ac

142083856300 has 144 divisors (see below), whose sum is σ = 345761619840. Its totient is φ = 50362352640.

The previous prime is 142083856259. The next prime is 142083856303. The reversal of 142083856300 is 3658380241.

142083856300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142083856303) 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, 5251407 + ... + 5278393.

It is an arithmetic number, because the mean of its divisors is an integer number (2401122360).

Almost surely, 2142083856300 is an apocalyptic number.

142083856300 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 142083856300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172880809920).

142083856300 is an abundant number, since it is smaller than the sum of its proper divisors (203677763540).

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

142083856300 is a wasteful number, since it uses less digits than its factorization.

142083856300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27200 (or 27193 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 142083856300 in words is "one hundred forty-two billion, eighty-three million, eight hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 163 170 190 323 326 340 380 425 475 646 652 815 850 950 1292 1615 1630 1700 1900 2771 3097 3230 3260 4075 5542 6194 6460 8075 8150 11084 12388 13855 15485 16150 16300 26987 27710 30970 32300 52649 53974 55420 61940 69275 77425 105298 107948 134935 138550 154850 210596 263245 269870 277100 309700 458779 512753 526490 539740 674675 917558 1025506 1052980 1316225 1349350 1835116 2051012 2293895 2563765 2632450 2698700 4398881 4587790 5127530 5264900 8716801 8797762 9175580 10255060 11469475 12818825 17433602 17595524 21994405 22938950 25637650 34867204 43584005 43988810 45877900 51275300 74780977 83578739 87168010 87977620 109972025 149561954 167157478 174336020 217920025 219944050 299123908 334314956 373904885 417893695 435840050 439888100 747809770 835787390 871680100 1420838563 1495619540 1671574780 1869524425 2089468475 2841677126 3739048850 4178936950 5683354252 7104192815 7478097700 8357873900 14208385630 28416771260 35520964075 71041928150 142083856300