Search a number
-
+
142785179308128 = 25372035910436561
BaseRepresentation
bin100000011101110011000011…
…111001000101000001100000
3200201120010111122110222101010
4200131303003321011001200
5122203343021400330003
61223402334505340520
742034613564554020
oct4035630371050140
9621503448428333
10142785179308128
114154a944354645
1214020883797740
13618977a596376
142738ba7a35a80
1511792845b5003
hex81dcc3e45060

142785179308128 has 96 divisors (see below), whose sum is σ = 428376619077120. Its totient is φ = 40793757788160.

The previous prime is 142785179308117. The next prime is 142785179308147. The reversal of 142785179308128 is 821803971587241.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 8462968 + ... + 18899528.

It is an arithmetic number, because the mean of its divisors is an integer number (4462256448720).

Almost surely, 2142785179308128 is an apocalyptic number.

It is an amenable number.

142785179308128 is an abundant number, since it is smaller than the sum of its proper divisors (285591439768992).

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

142785179308128 is a wasteful number, since it uses less digits than its factorization.

142785179308128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10456940 (or 10456932 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 142785179308128 in words is "one hundred forty-two trillion, seven hundred eighty-five billion, one hundred seventy-nine million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20359 40718 61077 81436 122154 142513 162872 244308 285026 325744 427539 488616 570052 651488 855078 977232 1140104 1710156 1954464 2280208 3420312 4560416 6840624 10436561 13681248 20873122 31309683 41746244 62619366 73055927 83492488 125238732 146111854 166984976 219167781 250477464 292223708 333969952 438335562 500954928 584447416 876671124 1001909856 1168894832 1753342248 2337789664 3506684496 7013368992 212477945399 424955890798 637433836197 849911781596 1274867672394 1487345617793 1699823563192 2549735344788 2974691235586 3399647126384 4462036853379 5099470689576 5949382471172 6799294252768 8924073706758 10198941379152 11898764942344 17848147413516 20397882758304 23797529884688 35696294827032 47595059769376 71392589654064 142785179308128