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2240000442420 = 2235137936351841
BaseRepresentation
bin100000100110001010011…
…011100100000000110100
321221010211111000112211220
4200212022123210000310
5243200010103124140
64433013023230340
7320556204414516
oct40461233440064
97833744015756
102240000442420
11793a84942464
123021637483b0
13133300a5c290
147a5b9215bb6
153d402ec4bd0
hex2098a6e4034

2240000442420 has 96 divisors (see below), whose sum is σ = 6839962590720. Its totient is φ = 544405155840.

The previous prime is 2240000442403. The next prime is 2240000442439. The reversal of 2240000442420 is 242440000422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18114301 + ... + 18237540.

It is an arithmetic number, because the mean of its divisors is an integer number (71249610320).

Almost surely, 22240000442420 is an apocalyptic number.

2240000442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240000442420 is an abundant number, since it is smaller than the sum of its proper divisors (4599962148300).

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

2240000442420 is a wasteful number, since it uses less digits than its factorization.

2240000442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36351945 (or 36351943 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240000442420 its reverse (242440000422), we get a palindrome (2482440442842).

The spelling of 2240000442420 in words is "two trillion, two hundred forty billion, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1185 1580 2054 2370 3081 4108 4740 5135 6162 10270 12324 15405 20540 30810 61620 36351841 72703682 109055523 145407364 181759205 218111046 363518410 436222092 472573933 545277615 727036820 945147866 1090555230 1417721799 1890295732 2181110460 2362869665 2835443598 2871795439 4725739330 5670887196 5743590878 7088608995 8615386317 9451478660 11487181756 14177217990 14358977195 17230772634 28354435980 28717954390 34461545268 37333340707 43076931585 57435908780 74666681414 86153863170 112000022121 149333362828 172307726340 186666703535 224000044242 373333407070 448000088484 560000110605 746666814140 1120000221210 2240000442420