29681468018400
29,681,468,018,400 is an even composite number composed of six prime numbers multiplied together.
29681468018400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 29681468018400:
25 × 3 × 52 × 11 × 5581 × 201451
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 5581 × 201451)See below for interesting mathematical facts about the number 29681468018400 from the Numbermatics database.
Names of 29681468018400
- Cardinal: 29681468018400 can be written as Twenty-nine trillion, six hundred eighty-one billion, four hundred sixty-eight million, eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.96814680184 × 1013
Factors of 29681468018400
Divisors of 29681468018400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 5581 6600 8800 11162 13200 16743 22324 26400 27905 33486 44648 55810 61391 66972 83715 89296 111620 122782 133944 139525 167430 178592 184173 201451 223240 245564 267888 279050 306955 334860 368346 402902 418575 446480 491128 535776 558100 604353 613910 669720 736692 805804 837150 892960 920865 982256 1007255 1116200 1208706 1227820 1339440 1473384 1534775 1611608 1674300 1841730 1964512 2014510 2215961 2232400 2417412 2455640 2678880 2946768 3021765 3069550 3223216 3348600 3683460 4029020 4431922 4464800 4604325 4834824 4911280 5036275 5893536 6043530 6139100 6446432 6647883 6697200 7366920 8058040 8863844 9208650 9669648 9822560 10072550 11079805 12087060 12278200 13295766 13394400 14733840 15108825 16116080 17727688 18417300 19339296 20145100 22159610 24174120 24556400 26591532 29467680 30217650 32232160 33239415 35455376 36834600 40290200 44319220 48348240 49112800 53183064 55399025 60435300 66478830 70910752 73669200 80580400 88638440 96696480 106366128 110798050 120870600 132957660 147338400 161160800 166197075 177276880 212732256 221596100 241741200 265915320 332394150 354553760 443192200 483482400 531830640 664788300 886384400 1063661280 1124298031 1329576600 1772768800 2248596062 2659153200 3372894093 4497192124 5318306400 5621490155 6745788186 8994384248 11242980310 12367278341 13491576372 16864470465 17988768496 22485960620 24734556682 26983152744 28107450775 33728940930 35977536992 37101835023 44971921240 49469113364 53966305488 56214901550 61836391705 67457881860 74203670046 84322352325 89943842480 98938226728 107932610976 112429803100 123672783410 134915763720 148407340092 168644704650 179887684960 185509175115 197876453456 224859606200 247345566820 269831527440 296814680184 309181958525 337289409300 371018350230 395752906912 449719212400 494691133640 539663054880 593629360368 618363917050 674578818600 742036700460 899438424800 927545875575 989382267280 1187258720736 1236727834100 1349157637200 1484073400920 1855091751150 1978764534560 2473455668200 2698315274400 2968146801840 3710183502300 4946911336400 5936293603680 7420367004600 9893822672800 14840734009200 29681468018400
- Sum of all divisors σ(n): 105415602719616
- Sum of proper divisors (its aliquot sum) s(n): 75734134701216
- 29681468018400 is an abundant number, because the sum of its proper divisors (75734134701216) is greater than itself. Its abundance is 46052666682816
Bases of 29681468018400
- Binary: 1101011111110110000010101101110001110111000002
- Hexadecimal: 0x1AFEC15B8EE0
- Base-36: AIRH7PE5C
Squares and roots of 29681468018400
- 29681468018400 squared (296814680184002) is 880989543727302022738560000
- 29681468018400 cubed (296814680184003) is 26149062966686723318832198224469504000000
-
The
square root of 29681468018400 is 5448070.1187117627 -
The
cube root of 29681468018400 is 30961.9609800575
Scales and comparisons
How big is 29681468018400?- 29,681,468,018,400 seconds is equal to 943,778 years, 45 weeks, 2 days, 11 hours, 20 minutes.
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To count from 1 to 29,681,468,018,400 would take you about two million, three hundred fifty-nine thousand, four hundred forty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 29681468018400 cubic inches would be around 2580.2 feet tall.
Recreational maths with 29681468018400
- 29681468018400 backwards is 00481086418692
- The number of decimal digits it has is: 14
- The sum of 29681468018400's digits is 57
- More coming soon!
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