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4434150105220 = 2251147457938369
BaseRepresentation
bin100000010000110011111…
…1100010010000010000100
3120200220022112201011101211
41000201213330102002010
51040122114411331340
613233004225301204
7635233242005113
oct100414774220204
916626275634354
104434150105220
11145a570155520
125b744ba94804
132621a5558314
14114884bb5c7a
157a520a035ea
hex40867f12084

4434150105220 has 96 divisors (see below), whose sum is σ = 10397079544320. Its totient is φ = 1574656573440.

The previous prime is 4434150105149. The next prime is 4434150105221. The reversal of 4434150105220 is 225010514344.

It is not an unprimeable number, because it can be changed into a prime (4434150105221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4256196 + ... + 5194564.

It is an arithmetic number, because the mean of its divisors is an integer number (108302911920).

Almost surely, 24434150105220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434150105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198539772160).

4434150105220 is an abundant number, since it is smaller than the sum of its proper divisors (5962929439100).

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

4434150105220 is a wasteful number, since it uses less digits than its factorization.

4434150105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938893 (or 938891 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 4434150105220 its reverse (225010514344), we get a palindrome (4659160619564).

The spelling of 4434150105220 in words is "four trillion, four hundred thirty-four billion, one hundred fifty million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 457 470 517 914 940 1034 1828 2068 2285 2585 4570 5027 5170 9140 10054 10340 20108 21479 25135 42958 50270 85916 100540 107395 214790 236269 429580 472538 938369 945076 1181345 1876738 2362690 3753476 4691845 4725380 9383690 10322059 18767380 20644118 41288236 44103343 51610295 88206686 103220590 176413372 206441180 220516715 428834633 441033430 485136773 857669266 882066860 970273546 1715338532 1940547092 2144173165 2425683865 4288346330 4717180963 4851367730 8576692660 9434361926 9702735460 18868723852 20155227751 23585904815 40310455502 47171809630 80620911004 94343619260 100776138755 201552277510 221707505261 403104555020 443415010522 886830021044 1108537526305 2217075052610 4434150105220