34148209920000
34,148,209,920,000 is an even composite number composed of seven prime numbers multiplied together.
34148209920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 34148209920000:
211 × 3 × 54 × 11 × 29 × 61 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 61 × 457)See below for interesting mathematical facts about the number 34148209920000 from the Numbermatics database.
Names of 34148209920000
- Cardinal: 34148209920000 can be written as Thirty-four trillion, one hundred forty-eight billion, two hundred nine million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 3.414820992 × 1013
Factors of 34148209920000
Divisors of 34148209920000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 61 64 66 75 80 87 88 96 100 110 116 120 122 125 128 132 145 150 160 165 174 176 183 192 200 220 232 240 244 250 256 264 275 290 300 305 319 320 330 348 352 366 375 384 400 435 440 457 464 480 488 500 512 528 550 580 600 610 625 638 640 660 671 696 704 725 732 750 768 800 825 870 880 914 915 928 957 960 976 1000 1024 1056 1100 1160 1200 1220 1250 1276 1280 1320 1342 1371 1375 1392 1408 1450 1464 1500 1525 1536 1595 1600 1650 1740 1760 1769 1828 1830 1856 1875 1914 1920 1952 2000 2013 2048 2112 2175 2200 2285 2320 2400 2440 2500 2552 2560 2640 2684 2742 2750 2784 2816 2900 2928 3000 3050 3072 3190 3200 3300 3355 3480 3520 3538 3625 3656 3660 3712 3750 3828 3840 3904 4000 4026 4125 4224 4350 4400 4570 4575 4640 4785 4800 4880 5000 5027 5104 5120 5280 5307 5368 5484 5500 5568 5632 5800 5856 6000 6100 6144 6380 6400 6600 6710 6855 6875 6960 7040 7076 7250 7312 7320 7424 7500 7625 7656 7680 7808 7975 8000 8052 8250 8448 8700 8800 8845 9140 9150 9280 9570 9600 9760 10000 10054 10065 10208 10240 10560 10614 10736 10875 10968 11000 11136 11264 11425 11600 11712 12000 12200 12760 12800 13200 13253 13420 13710 13750 13920 14080 14152 14500 14624 14640 14848 15000 15081 15250 15312 15360 15616 15950 16000 16104 16500 16775 16896 17400 17600 17690 18125 18280 18300 18560 19140 19200 19459 19520 20000 20108 20130 20416 20625 21120 21228 21472 21750 21936 22000 22272 22528 22850 22875 23200 23424 23925 24000 24400 25135 25520 25600 26400 26506 26535 26840 27420 27500 27840 27877 28160 28304 29000 29248 29280 29696 30000 30162 30500 30624 30720 31232 31900 32000 32208 33000 33550 33792 34275 34800 35200 35380 36250 36560 36600 37120 38125 38280 38400 38918 39040 39759 39875 40000 40216 40260 40832 41250 42240 42456 42944 43500 43872 44000 44225 44544 45700 45750 46400 46848 47850 48000 48800 50270 50325 51040 51200 52800 53012 53070 53680 54375 54840 55000 55680 55754 56320 56608 57125 58000 58377 58496 58560 59392 60000 60324 61000 61248 62464 63800 64000 64416 66000 66265 67100 67584 68550 69600 70400 70760 72500 73120 73200 74240 75405 76250 76560 76800 77836 78080 79518 79750 80000 80432 80520 81664 82500 83631 83875 84480 84912 85888 87000 87744 88000 88450 89088 91400 91500 92800 93696 95700 96000 97295 97600 100540 100650 102080 105600 106024 106140 107360 108750 109680 110000 111360 111508 112640 113216 114250 114375 116000 116754 116992 117120 119625 120000 120648 122000 122496 124928 125675 127600 128000 128832 132000 132530 132675 134200 137100 139200 139385 140800 141520 145000 145783 146240 146400 148480 150810 152500 153120 153600 155672 156160 159036 159500 160000 160864 161040 163328 165000 167262 167750 168960 169824 171375 171776 174000 175488 176000 176900 178176 182800 183000 185600 187392 191400 192000 194590 195200 198795 199375 201080 201300 204160 211200 212048 212280 214720 217500 219360 220000 221125 222720 223016 226432 228500 228750 232000 233508 233984 234240 239250 240000 241296 244000 244992 251350 251625 255200 256000 257664 264000 265060 265350 268400 274200 278400 278770 281600 283040 285625 290000 291566 291885 292480 292800 296960 301620 305000 306240 306647 311344 312320 318072 319000 320000 321728 322080 326656 330000 331325 334524 335500 337920 339648 342750 343552 348000 350976 352000 353800 365600 366000 371200 374784 377025 382800 384000 389180 390400 397590 398750 402160 402600 408320 418155 419375 422400 424096 424560 429440 435000 437349 438720 440000 442250 445440 446032 452864 457000 457500 464000 467016 467968 468480 478500 480000 482592 486475 488000 489984 502700 503250 510400 515328 528000 530120 530700 536800 548400 556800 557540 563200 566080 571250 580000 583132 583770 584960 585600 598125 603240 610000 612480 613294 622688 624640 628375 636144 638000 640000 643456 644160 653312 660000 662650 663375 669048 671000 679296 685500 687104 696000 696925 701952 704000 707600 728915 731200 732000 742400 754050 765600 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13659283968 13995168000 14228420800 14719056000 14944512000 15521913600 15700326400 16168660000 16673930625 16963840000 17074104960 17493960000 17785526000 17841280000 18212378624 18398820000 18660224000 18680640000 19303680000 19402392000 19625408000 20695884800 21342631200 21409536000 22231907500 22392268800 22765473280 23325280000 23550489600 24252990000 24531760000 24835061760 24907520000 25445760000 25869856000 26678289000 26761920000 27318567936 27990336000 28456841600 29438112000 31043827200 32337320000 33347861250 34148209920 34987920000 35571052000 35682560000 36797640000 37320448000 37361280000 38804784000 39250816000 41391769600 42685262400 44463815000 45530946560 46650560000 47100979200 48505980000 49063520000 50891520000 51739712000 53356578000 53523840000 54637135872 55980672000 56913683200 58876224000 62087654400 64674640000 66695722500 68296419840 69975840000 71142104000 73595280000 74722560000 77609568000 78501632000 85370524800 88927630000 91061893120 93301120000 97011960000 98127040000 103479424000 106713156000 107047680000 111961344000 113827366400 117752448000 124175308800 129349280000 133391445000 136592839680 139951680000 142284208000 147190560000 155219136000 170741049600 177855260000 186602240000 194023920000 196254080000 206958848000 213426312000 227654732800 235504896000 258698560000 266782890000 273185679360 279903360000 284568416000 294381120000 310438272000 341482099200 355710520000 388047840000 392508160000 426852624000 455309465600 517397120000 533565780000 559806720000 569136832000 588762240000 620876544000 682964198400 711421040000 776095680000 853705248000 1034794240000 1067131560000 1138273664000 1177524480000 1365928396800 1422842080000 1552191360000 1707410496000 2134263120000 2276547328000 2845684160000 3104382720000 3414820992000 4268526240000 5691368320000 6829641984000 8537052480000 11382736640000 17074104960000 34148209920000
- Sum of all divisors σ(n): 130774961116800
- Sum of proper divisors (its aliquot sum) s(n): 96626751196800
- 34148209920000 is an abundant number, because the sum of its proper divisors (96626751196800) is greater than itself. Its abundance is 62478541276800
Bases of 34148209920000
- Binary: 1111100001110101111111110110000001000000000002
- Hexadecimal: 0x1F0EBFEC0800
- Base-36: C3RGYI7EO
Squares and roots of 34148209920000
- 34148209920000 squared (341482099200002) is 1166100240740386406400000000
- 34148209920000 cubed (341482099200003) is 39820235808565251227661631488000000000000
-
The
square root of 34148209920000 is 5843646.9708564703 -
The
cube root of 34148209920000 is 32443.1225838441
Scales and comparisons
How big is 34148209920000?- 34,148,209,920,000 seconds is equal to 1,085,807 years, 23 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 34,148,209,920,000 would take you about two million, seven hundred fourteen thousand, five hundred eighteen 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 34148209920000 cubic inches would be around 2703.6 feet tall.
Recreational maths with 34148209920000
- 34148209920000 backwards is 00002990284143
- The number of decimal digits it has is: 14
- The sum of 34148209920000's digits is 42
- More coming soon!
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The information we have on file for 34148209920000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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