104990142400
104,990,142,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 104990142400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
104990142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 104990142400:
26 × 52 × 11 × 13 × 23 × 71 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 23 × 71 × 281)See below for interesting mathematical facts about the number 104990142400 from the Numbermatics database.
Names of 104990142400
- Cardinal: 104990142400 can be written as One hundred four billion, nine hundred ninety million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.049901424 × 1011
Factors of 104990142400
Divisors of 104990142400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 23 25 26 32 40 44 46 50 52 55 64 65 71 80 88 92 100 104 110 115 130 142 143 160 176 184 200 208 220 230 253 260 275 281 284 286 299 320 325 352 355 368 400 416 440 460 506 520 550 562 568 572 575 598 650 704 710 715 736 781 800 832 880 920 923 1012 1040 1100 1124 1136 1144 1150 1196 1265 1300 1405 1420 1430 1472 1495 1562 1600 1633 1760 1775 1840 1846 2024 2080 2200 2248 2272 2288 2300 2392 2530 2600 2810 2840 2860 2990 3091 3124 3266 3289 3520 3550 3575 3653 3680 3692 3905 4048 4160 4400 4496 4544 4576 4600 4615 4784 5060 5200 5620 5680 5720 5980 6182 6248 6325 6463 6532 6578 7025 7100 7150 7306 7360 7384 7475 7810 8096 8165 8800 8992 9152 9200 9230 9568 10120 10153 10400 11240 11360 11440 11960 12364 12496 12650 12926 13064 13156 14050 14200 14300 14612 14768 14950 15455 15620 16192 16330 16445 17600 17963 17984 18265 18400 18460 19136 19525 19951 20240 20306 20800 21229 22480 22720 22880 23075 23920 24728 24992 25300 25852 26128 26312 28100 28400 28600 29224 29536 29900 30910 31240 32315 32660 32890 35926 36530 36800 36920 39050 39902 40183 40480 40612 40825 42458 44960 45760 46150 47840 49456 49984 50600 50765 51704 52256 52624 56200 56800 57200 58448 59072 59800 61820 62480 64630 65320 65780 71093 71852 73060 73840 77275 78100 79804 80366 80960 81224 81650 82225 84019 84916 89815 89920 91325 92300 95680 98912 99755 101200 101530 103408 104512 105248 106145 112400 113600 114400 116896 119600 123640 124960 129260 130640 131560 142186 143704 146120 147680 154550 156200 159608 160732 161575 162448 163300 164450 168038 169832 179630 182650 184600 197824 199510 200915 202400 203060 206816 210496 212290 219461 224800 228800 233519 233792 239200 247280 249920 253825 258520 259363 261280 263120 284372 287408 292240 295360 309100 312400 319216 321464 323150 324896 326600 328900 336076 339664 355465 359260 365300 369200 399020 401830 404800 406120 413632 420095 424580 438922 449075 449600 458873 467038 478400 494560 498775 507650 517040 518726 522560 526240 530725 568744 574816 584480 618200 624800 638432 642928 646300 649792 653200 657800 672152 679328 710930 718520 730600 738400 798040 803660 812240 840190 849160 877844 898150 917746 924209 934076 989120 997550 1004575 1015300 1034080 1037452 1052480 1061450 1097305 1137488 1149632 1167595 1168960 1236400 1249600 1276864 1285856 1292600 1296815 1306400 1315600 1344304 1358656 1421860 1437040 1461200 1476800 1596080 1607320 1624480 1680380 1698320 1755688 1777325 1796300 1835492 1848418 1868152 1995100 2009150 2030600 2068160 2074904 2100475 2122900 2194610 2274976 2294365 2335190 2472800 2571712 2585200 2593630 2612800 2631200 2688608 2843720 2852993 2874080 2922400 3192160 3214640 3248960 3360760 3396640 3511376 3554650 3592600 3670984 3696836 3736304 3990200 4018300 4061200 4149808 4200950 4245800 4389220 4549952 4588730 4621045 4670380 4945600 5047603 5170400 5187260 5262400 5377216 5486525 5687440 5705986 5748160 5837975 5844800 5965349 6384320 6429280 6484075 6721520 6793280 7022752 7109300 7185200 7341968 7393672 7472608 7980400 8036600 8122400 8299616 8401900 8491600 8778440 9177460 9242090 9340760 10095206 10340800 10374520 10973050 11374880 11411972 11471825 11675950 11930698 12858560 12968150 13443040 14045504 14218600 14264965 14370400 14683936 14787344 14945216 15960800 16073200 16244800 16599232 16803800 16983200 17556880 18354920 18484180 18681520 20190412 20749040 21946100 22749760 22823944 22943650 23105225 23351900 23861396 25238015 25936300 26886080 28437200 28529930 28740800 29367872 29574688 29826745 31921600 32146400 33607600 33966400 35113760 36709840 36968360 37363040 40380824 41498080 43892200 45647888 45887300 46210450 46703800 47722792 50476030 51872600 56874400 57059860 59149376 59653490 64292800 65618839 67215200 70227520 71324825 73419680 73936720 74726080 80761648 82996160 87784400 91295776 91774600 92420900 93407600 95445584 100952060 103745200 113748800 114119720 119306980 126190075 131237678 134430400 142649650 146839360 147873440 149133725 161523296 175568800 182591552 183549200 184841800 186815200 190891168 201904120 207490400 228239440 238613960 252380150 262475356 285299300 295746880 298267450 323046592 328094195 351137600 367098400 369683600 373630400 381782336 403808240 414980800 456478880 477227920 504760300 524950712 570598600 596534900 656188390 734196800 739367200 807616480 912957760 954455840 1009520600 1049901424 1141197200 1193069800 1312376780 1478734400 1615232960 1640470975 1908911680 2019041200 2099802848 2282394400 2386139600 2624753560 3280941950 4038082400 4199605696 4564788800 4772279200 5249507120 6561883900 8076164800 9544558400 10499014240 13123767800 20998028480 26247535600 52495071200 104990142400
- Sum of all divisors σ(n): 322305371136
- Sum of proper divisors (its aliquot sum) s(n): 217315228736
- 104990142400 is an abundant number, because the sum of its proper divisors (217315228736) is greater than itself. Its abundance is 112325086336
Bases of 104990142400
- Binary: 11000011100011110011001101111110000002
- Hexadecimal: 0x1871E66FC0
- Base-36: 1C8CF4CG
Squares and roots of 104990142400
- 104990142400 squared (1049901424002) is 11022930001172277760000
- 104990142400 cubed (1049901424003) is 1157298990488309608954753024000000
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The
square root of 104990142400 is 324021.8239563501 -
The
cube root of 104990142400 is 4717.5463403305
Scales and comparisons
How big is 104990142400?- 104,990,142,400 seconds is equal to 3,338 years, 18 weeks, 5 days, 16 hours, 26 minutes, 40 seconds.
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To count from 1 to 104,990,142,400 would take you about six thousand, six hundred seventy-six 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 104990142400 cubic inches would be around 393.1 feet tall.
Recreational maths with 104990142400
- 104990142400 backwards is 004241099401
- The number of decimal digits it has is: 12
- The sum of 104990142400's digits is 34
- More coming soon!
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