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2414323124010 = 2325721972779013
BaseRepresentation
bin100011001000100000110…
…111110100011100101010
322112210210022220022100100
4203020200313310130222
5304024013204432020
65045042535250230
7336300114644100
oct43104067643452
98483708808310
102414323124010
118509aa50a256
1232bab3b19976
13146892417705
1484bd4ddbc70
1542c07084a90
hex23220df472a

2414323124010 has 144 divisors (see below), whose sum is σ = 7339164768936. Its totient is φ = 549043842816.

The previous prime is 2414323123987. The next prime is 2414323124021. The reversal of 2414323124010 is 104213234142.

2414323124010 is a `hidden beast` number, since 2 + 414 + 3 + 2 + 3 + 1 + 240 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2383494436449 + 30828687561 = 1543857^2 + 175581^2 .

It is a super-2 number, since 2×24143231240102 (a number of 26 digits) contains 22 as substring.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 520737 + ... + 2258276.

Almost surely, 22414323124010 is an apocalyptic number.

2414323124010 is an abundant number, since it is smaller than the sum of its proper divisors (4924841644926).

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

2414323124010 is a wasteful number, since it uses less digits than its factorization.

2414323124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779237 (or 2779227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2414323124010 its reverse (104213234142), we get a palindrome (2518536358152).

The spelling of 2414323124010 in words is "two trillion, four hundred fourteen billion, three hundred twenty-three million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 197 210 245 294 315 394 441 490 591 630 735 882 985 1182 1379 1470 1773 1970 2205 2758 2955 3546 4137 4410 5910 6895 8274 8865 9653 12411 13790 17730 19306 20685 24822 28959 41370 48265 57918 62055 86877 96530 124110 144795 173754 289590 434385 868770 2779013 5558026 8337039 13895065 16674078 19453091 25011117 27790130 38906182 41685195 50022234 58359273 83370390 97265455 116718546 125055585 136171637 175077819 194530910 250111170 272343274 291796365 350155638 408514911 547465561 583592730 680858185 817029822 875389095 1094931122 1225544733 1361716370 1642396683 1750778190 2042574555 2451089466 2737327805 3284793366 3832258927 4085149110 4927190049 5474655610 6127723665 7664517854 8211983415 9854380098 11496776781 12255447330 16423966830 19161294635 22993553562 24635950245 26825812489 34490330343 38322589270 49271900490 53651624978 57483883905 68980660686 80477437467 114967767810 134129062445 160954874934 172451651715 241432312401 268258124890 344903303430 402387187335 482864624802 804774374670 1207161562005 2414323124010