Search a number
-
+
441002041121332 = 2219237091319269779
BaseRepresentation
bin110010001000101101100101…
…0000000011001101000110100
32010211110101100111100021000201
41210101123022000121220310
5430300334140011340312
64201533312454050244
7161614226456005225
oct14421331200315064
92124411314307021
10441002041121332
11118575a0834a299
1241565197349984
1315c0c410c25442
147ac888128b24c
1535eb71d898557
hex19116ca019a34

441002041121332 has 96 divisors (see below), whose sum is σ = 849535061760000. Its totient is φ = 199379443849344.

The previous prime is 441002041121251. The next prime is 441002041121359. The reversal of 441002041121332 is 233121140200144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 441002041121332.

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 31 ways as a sum of consecutive naturals, for example, 1634544019 + ... + 1634813797.

It is an arithmetic number, because the mean of its divisors is an integer number (8849323560000).

Almost surely, 2441002041121332 is an apocalyptic number.

It is an amenable number.

441002041121332 is a deficient number, since it is larger than the sum of its proper divisors (408533020638668).

441002041121332 is a wasteful number, since it uses less digits than its factorization.

441002041121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271853 (or 271851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 441002041121332 its reverse (233121140200144), we get a palindrome (674123181321476).

The spelling of 441002041121332 in words is "four hundred forty-one trillion, two billion, forty-one million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 19 23 38 46 76 92 437 709 874 1319 1418 1748 2638 2836 5276 13471 16307 25061 26942 30337 32614 50122 53884 60674 65228 100244 121348 269779 309833 539558 576403 619666 935171 1079116 1152806 1239332 1870342 2305612 3740684 5125801 6204917 10251602 12409834 17768249 20503204 21508933 24819668 35536498 43017866 71072996 86035732 117893423 191273311 235786846 355838501 382546622 408669727 471573692 711677002 765093244 817339454 1423354004 1634678908 3634192909 4399286153 6760931519 7268385818 8184285523 8798572306 13521863038 14536771636 16368571046 17597144612 27043726076 32737142092 83586436907 155501424937 167172873814 252289497209 311002849874 334345747628 504578994418 622005699748 1009157988836 4793500446971 5802658435807 9587000893942 11605316871614 19174001787884 23210633743228 110250510280333 220501020560666 441002041121332