Search a number
-
+
24002241321300 = 223521137196578553
BaseRepresentation
bin1010111010100011101010…
…00100010101100101010100
310010222120222110121010101220
411131101311010111211110
511121223042234240200
6123014251043250340
75025050625654324
oct535216504254524
9103876873533356
1024002241321300
117714325541560
1228379660799b0
13105152b54ab98
145cda01113284
152b95479c14a0
hex15d475115954

24002241321300 has 144 divisors (see below), whose sum is σ = 77807364301632. Its totient is φ = 5661462297600.

The previous prime is 24002241321299. The next prime is 24002241321313. The reversal of 24002241321300 is 312314220042.

It is a happy number.

It is a super-2 number, since 2×240022413213002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98167177 + ... + 98411376.

Almost surely, 224002241321300 is an apocalyptic number.

24002241321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24002241321300 is an abundant number, since it is smaller than the sum of its proper divisors (53805122980332).

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

24002241321300 is a wasteful number, since it uses less digits than its factorization.

24002241321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196578618 (or 196578611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24002241321300 its reverse (312314220042), we get a palindrome (24314555541342).

The spelling of 24002241321300 in words is "twenty-four trillion, two billion, two hundred forty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 196578553 393157106 589735659 786314212 982892765 1179471318 1965785530 2162364083 2358942636 2948678295 3931571060 4324728166 4914463825 5897356590 6487092249 7273406461 8649456332 9828927650 10811820415 11794713180 12974184498 14546812922 14743391475 19657855300 21623640830 21820219383 25948368996 29093625844 29486782950 32435461245 36367032305 43247281660 43640438766 54059102075 58973565900 64870922490 72734064610 80007471071 87280877532 108118204150 109101096915 129741844980 145468129220 160014942142 162177306225 181835161525 216236408300 218202193830 240022413213 320029884284 324354612450 363670323050 400037355355 436404387660 480044826426 545505484575 648709224900 727340646100 800074710710 960089652852 1091010969150 1200112066065 1600149421420 2000186776775 2182021938300 2400224132130 4000373553550 4800448264260 6000560330325 8000747107100 12001120660650 24002241321300