Search a number
-
+
441160209870 = 2352329101218287
BaseRepresentation
bin1100110101101110011…
…00101001010111001110
31120011201012202200020020
412122313030221113032
524211444003203440
6534355522203010
743605234624612
oct6326714512716
91504635680206
10441160209870
1116010548a276
12715bb7b3466
13327a7b92c03
14174d08a3342
15b7201ab3d0
hex66b73295ce

441160209870 has 128 divisors (see below), whose sum is σ = 1154237091840. Its totient is φ = 107571340800.

The previous prime is 441160209859. The next prime is 441160209871. The reversal of 441160209870 is 78902061144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441160209871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1911867 + ... + 2130153.

It is an arithmetic number, because the mean of its divisors is an integer number (9017477280).

Almost surely, 2441160209870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441160209870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577118545920).

441160209870 is an abundant number, since it is smaller than the sum of its proper divisors (713076881970).

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

441160209870 is a wasteful number, since it uses less digits than its factorization.

441160209870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218450.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 441160209870 in words is "four hundred forty-one billion, one hundred sixty million, two hundred nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 101 115 138 145 174 202 230 290 303 345 435 505 606 667 690 870 1010 1334 1515 2001 2323 2929 3030 3335 4002 4646 5858 6670 6969 8787 10005 11615 13938 14645 17574 20010 23230 29290 34845 43935 67367 69690 87870 134734 202101 218287 336835 404202 436574 654861 673670 1010505 1091435 1309722 2021010 2182870 3274305 5020601 6330323 6548610 10041202 12660646 15061803 18990969 22046987 25103005 30123606 31651615 37981938 44093974 50206010 63303230 66140961 75309015 94954845 110234935 132281922 145597429 150618030 189909690 220469870 291194858 330704805 436792287 507080701 639362623 661409610 727987145 873584574 1014161402 1278725246 1455974290 1521242103 1918087869 2183961435 2535403505 3042484206 3196813115 3836175738 4367922870 5070807010 6393626230 7606210515 9590439345 14705340329 15212421030 19180878690 29410680658 44116020987 73526701645 88232041974 147053403290 220580104935 441160209870