Search a number
-
+
41706021005000 = 2354111993810509
BaseRepresentation
bin10010111101110011100001…
…00100010010011011001000
312110200001112022102120122122
421132321300210102123020
520431302412334130000
6224411252003110412
711533106036240522
oct1136716044223310
9173601468376578
1041706021005000
111231a473646850
124816aa6072408
131a36b26541991
14a42821742a12
154c4d08e22085
hex25ee709126c8

41706021005000 has 160 divisors (see below), whose sum is σ = 107136299160000. Its totient is φ = 15089611680000.

The previous prime is 41706021004981. The next prime is 41706021005003. The reversal of 41706021005000 is 50012060714.

It is not an unprimeable number, because it can be changed into a prime (41706021005003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9039746 + ... + 12850254.

It is an arithmetic number, because the mean of its divisors is an integer number (669601869750).

Almost surely, 241706021005000 is an apocalyptic number.

41706021005000 is a gapful number since it is divisible by the number (40) 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 41706021005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568149580000).

41706021005000 is an abundant number, since it is smaller than the sum of its proper divisors (65430278155000).

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

41706021005000 is a wasteful number, since it uses less digits than its factorization.

41706021005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810745 (or 3810726 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 41706021005000 its reverse (50012060714), we get a palindrome (41756033065714).

The spelling of 41706021005000 in words is "forty-one trillion, seven hundred six billion, twenty-one million, five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 199 200 220 250 275 398 440 500 550 625 796 995 1000 1100 1250 1375 1592 1990 2189 2200 2500 2750 3980 4378 4975 5000 5500 6875 7960 8756 9950 10945 11000 13750 17512 19900 21890 24875 27500 39800 43780 49750 54725 55000 87560 99500 109450 124375 199000 218900 248750 273625 437800 497500 547250 995000 1094500 1368125 2189000 2736250 3810509 5472500 7621018 10945000 15242036 19052545 30484072 38105090 41915599 76210180 83831198 95262725 152420360 167662396 190525450 209577995 335324792 381050900 419155990 476313625 758291291 762101800 838311980 952627250 1047889975 1516582582 1676623960 1905254500 2095779950 2381568125 3033165164 3791456455 3810509000 4191559900 4763136250 5239449875 6066330328 7582912910 8341204201 8383119800 9526272500 10478899750 15165825820 16682408402 18957282275 19052545000 20957799500 26197249375 30331651640 33364816804 37914564550 41706021005 41915599000 52394498750 66729633608 75829129100 83412042010 94786411375 104788997500 151658258200 166824084020 189572822750 208530105025 209577995000 333648168040 379145645500 417060210050 473932056875 758291291000 834120420100 947864113750 1042650525125 1668240840200 1895728227500 2085301050250 3791456455000 4170602100500 5213252625625 8341204201000 10426505251250 20853010502500 41706021005000