Search a number
-
+
41230510305210 = 23352112731265003
BaseRepresentation
bin10010101111111101110011…
…11010111010111110111010
312101222121011011011012211000
421113332321322322332322
520401010041114231320
6223405011314345430
711453543324052642
oct1127767172727672
9171877134135730
1041230510305210
1112156841210036
12475a8ba58b276
131a01035b9a0b5
14a277d2b27522
154b7778232c90
hex257fb9ebafba

41230510305210 has 128 divisors (see below), whose sum is σ = 110509975249920. Its totient is φ = 10938646555200.

The previous prime is 41230510305139. The next prime is 41230510305253. The reversal of 41230510305210 is 1250301503214.

41230510305210 is a `hidden beast` number, since 4 + 1 + 2 + 30 + 5 + 103 + 0 + 521 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155452569 + ... + 155717571.

It is an arithmetic number, because the mean of its divisors is an integer number (863359181640).

Almost surely, 241230510305210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41230510305210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55254987624960).

41230510305210 is an abundant number, since it is smaller than the sum of its proper divisors (69279464944710).

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

41230510305210 is a wasteful number, since it uses less digits than its factorization.

41230510305210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267961 (or 267955 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 41230510305210 its reverse (1250301503214), we get a palindrome (42480811808424).

The spelling of 41230510305210 in words is "forty-one trillion, two hundred thirty billion, five hundred ten million, three hundred five thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 633 1055 1266 1899 2110 2731 3165 3798 5462 5697 6330 8193 9495 11394 13655 16386 18990 24579 27310 28485 40965 49158 56970 73737 81930 122895 147474 245790 265003 368685 530006 576241 737370 795009 1152482 1325015 1590018 1728723 2385027 2650030 2881205 3457446 3975045 4770054 5186169 5762410 7155081 7950090 8643615 10372338 11925135 14310162 15558507 17287230 23850270 25930845 31117014 35775405 51861690 55915633 71550810 77792535 111831266 155585070 167746899 279578165 335493798 503240697 559156330 723723193 838734495 1006481394 1447446386 1509722091 1677468990 2171169579 2516203485 3019444182 3618615965 4342339158 5032406970 6513508737 7237231930 7548610455 10855847895 13027017474 15097220910 19540526211 21711695790 32567543685 39081052422 65135087370 97702631055 152705593723 195405262110 305411187446 458116781169 763527968615 916233562338 1374350343507 1527055937230 2290583905845 2748700687014 4123051030521 4581167811690 6871751717535 8246102061042 13743503435070 20615255152605 41230510305210