137983984320
137,983,984,320 is an even composite number composed of seven prime numbers multiplied together.
137983984320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137983984320:
26 × 3 × 5 × 72 × 132 × 17 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 17 × 1021)See below for interesting mathematical facts about the number 137983984320 from the Numbermatics database.
Names of 137983984320
- Cardinal: 137983984320 can be written as One hundred thirty-seven billion, nine hundred eighty-three million, nine hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3798398432 × 1011
Factors of 137983984320
Divisors of 137983984320
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 49 51 52 56 60 64 65 68 70 78 80 84 85 91 96 98 102 104 105 112 119 120 130 136 140 147 156 160 168 169 170 182 192 195 196 204 208 210 221 224 238 240 245 255 260 272 273 280 294 312 320 336 338 340 357 364 390 392 408 416 420 442 448 455 476 480 490 507 510 520 544 546 560 588 595 624 637 663 672 676 680 714 728 735 780 784 816 832 833 840 845 884 910 952 960 980 1014 1020 1021 1040 1088 1092 1105 1120 1176 1183 1190 1248 1274 1326 1344 1352 1360 1365 1428 1456 1470 1547 1560 1568 1632 1666 1680 1690 1768 1785 1820 1904 1911 1960 2028 2040 2042 2080 2184 2210 2240 2352 2366 2380 2496 2499 2535 2548 2652 2704 2720 2730 2856 2873 2912 2940 3063 3094 3120 3136 3185 3264 3315 3332 3360 3380 3536 3549 3570 3640 3808 3822 3920 4056 4080 4084 4160 4165 4368 4420 4641 4704 4732 4760 4998 5070 5096 5105 5304 5408 5440 5460 5712 5746 5824 5880 5915 6126 6188 6240 6370 6630 6664 6720 6760 7072 7098 7140 7147 7280 7616 7644 7735 7840 8112 8160 8168 8281 8330 8619 8736 8840 9282 9408 9464 9520 9555 9996 10140 10192 10210 10608 10816 10829 10920 11424 11492 11760 11830 12252 12376 12480 12495 12740 13260 13273 13328 13520 14144 14196 14280 14294 14365 14560 15288 15315 15470 15680 16224 16320 16336 16562 16660 17238 17357 17472 17680 17745 18564 18928 19040 19110 19992 20111 20280 20384 20420 21216 21441 21658 21840 22848 22984 23205 23520 23660 24504 24752 24843 24990 25480 26520 26546 26656 27040 28392 28560 28588 28730 29120 30576 30630 30940 32448 32487 32672 33124 33320 34476 34714 35360 35490 35735 37128 37856 38080 38220 39819 39984 40222 40560 40768 40840 41405 42432 42882 43095 43316 43680 45968 46410 47040 47320 49008 49504 49686 49980 50029 50960 52071 53040 53092 53312 54080 54145 56784 57120 57176 57460 60333 61152 61260 61880 64974 65344 66248 66365 66640 68952 69428 70720 70980 71470 74256 75712 76440 79638 79968 80444 81120 81680 82810 85764 86190 86632 86785 87360 91936 92820 92911 94640 98016 99008 99372 99960 100058 100555 101920 104142 106080 106184 107205 108290 113568 114240 114352 114920 120666 121499 122304 122520 123760 124215 129948 132496 132730 133280 137904 138856 140777 141960 142940 148512 150087 152880 159276 159936 160888 162240 162435 163360 165620 171528 172380 172549 173264 173570 183872 185640 185822 189280 196032 198744 199095 199920 200116 201110 203840 208284 212160 212368 214410 216580 225641 227136 228704 229840 241332 242998 245040 247520 248430 250145 259896 260355 264992 265460 266560 275808 277712 278733 281554 283920 285880 297024 300174 301665 305760 318552 321776 324870 326720 331240 343056 344760 345098 346528 347140 364497 371280 371644 378560 397488 398190 399840 400232 402220 416568 422331 424736 428820 433160 451282 457408 459680 464555 482664 485996 490080 495040 496860 500290 517647 519792 520710 529984 530920 551616 555424 557466 563108 567840 571760 600348 603330 607495 611520 637104 643552 649740 650377 662480 676923 686112 689520 690196 693056 694280 703885 728994 742560 743288 750435 794976 796380 799680 800464 804440 833136 844662 849472 850493 857640 862745 866320 902564 919360 929110 965328 971992 980160 993720 1000580 1035294 1039584 1041420 1061840 1110848 1114932 1126216 1128205 1135680 1143520 1200696 1206660 1207843 1214990 1274208 1287104 1299480 1300754 1324960 1353846 1372224 1379040 1380392 1388560 1393665 1407770 1457988 1485120 1486576 1500870 1579487 1589952 1592760 1600928 1608880 1666272 1689324 1700986 1715280 1725490 1732640 1805128 1822485 1858220 1930656 1943984 1951131 1987440 2001160 2070588 2079168 2082840 2111655 2123680 2229864 2252432 2256410 2287040 2401392 2413320 2415686 2429980 2548416 2551479 2588235 2598960 2601508 2649920 2707692 2758080 2760784 2777120 2787330 2815540 2915976 2933333 2973152 3001740 3158974 3185520 3201856 3217760 3251885 3332544 3378648 3384615 3401972 3430560 3450980 3465280 3610256 3623529 3644970 3716440 3861312 3887968 3902262 3974880 4002320 4141176 4165680 4223310 4247360 4252465 4459728 4504864 4512820 4738461 4802784 4826640 4831372 4859960 5102958 5176470 5197920 5203016 5415384 5521568 5554240 5574660 5631080 5831952 5866666 5946304 6003480 6039215 6317948 6371040 6435520 6503770 6757296 6769230 6803944 6861120 6901960 7220512 7247058 7289940 7432880 7775936 7804524 7897435 7949760 8004640 8282352 8331360 8446620 8454901 8504930 8799999 8919456 9009728 9025640 9476922 9605568 9653280 9662744 9719920 9755655 10205916 10352940 10395840 10406032 10830768 11043136 11056409 11149320 11262160 11663904 11733332 12006960 12078430 12635896 12742080 12757395 13007540 13514592 13538460 13607888 13803920 14441024 14494116 14579880 14666665 14865760 15609048 15794870 16009280 16564704 16662720 16893240 16909802 17009860 17599998 17838912 18051280 18117645 18953844 19306560 19325488 19439840 19511310 20411832 20533331 20705880 20812064 21661536 22112818 22298640 22524320 23327808 23466664 23692305 24013920 24156860 25271792 25364703 25514790 26015080 27029184 27076920 27215776 27607840 28988232 29159760 29333330 29731520 31218096 31589740 33129408 33169227 33786480 33819604 34019720 35199996 36102560 36235290 37907688 38650976 38879680 39022620 40823664 41066662 41411760 41624128 42274505 43323072 43999995 44225636 44597280 45048640 46933328 47384610 48027840 48313720 50543584 50729406 51029580 52030160 54153840 54431552 55215680 55282045 57976464 58319520 58666660 61599993 62436192 63179480 66338454 67572960 67639208 68039440 70399992 72205120 72470580 75815376 77301952 78045240 81647328 82133324 82823520 84549010 87999990 88451272 89194560 93866656 94769220 96627440 101087168 101458812 102059160 102666655 104060320 108307680 110564090 115952928 116639040 117333320 123199986 124872384 126358960 126823515 132676908 135145920 135278416 136078880 140799984 143733317 144941160 151630752 156090480 163294656 164266648 165647040 165846135 169098020 175999980 176902544 187733312 189538440 193254880 202917624 204118320 205333310 208120640 216615360 221128180 231905856 234666640 246399972 252717920 253647030 265353816 270556832 272157760 281599968 287466634 289882320 303261504 307999965 312180960 328533296 331692270 338196040 351999960 353805088 379076880 386509760 405835248 408236640 410666620 431199951 442256360 469333280 492799944 505435840 507294060 530707632 541113664 563199936 574933268 579764640 615999930 624361920 657066592 663384540 676392080 703999920 707610176 718666585 758153760 811670496 816473280 821333240 862399902 884512720 938666560 985599888 1014588120 1061415264 1149866536 1159529280 1231999860 1314133184 1326769080 1352784160 1407999840 1437333170 1516307520 1623340992 1642666480 1724799804 1769025440 1971199776 2029176240 2122830528 2155999755 2299733072 2463999720 2653538160 2705568320 2815999680 2874666340 3285332960 3449599608 3538050880 3942399552 4058352480 4311999510 4599466144 4927999440 5307076320 5749332680 6570665920 6899199216 8116704960 8623999020 9198932288 9855998880 10614152640 11498665360 13798398432 17247998040 19711997760 22997330720 27596796864 34495996080 45994661440 68991992160 137983984320
- Sum of all divisors σ(n): 584876684448
- Sum of proper divisors (its aliquot sum) s(n): 446892700128
- 137983984320 is an abundant number, because the sum of its proper divisors (446892700128) is greater than itself. Its abundance is 308908715808
Bases of 137983984320
- Binary: 100000001000000111110010000010110000002
- Hexadecimal: 0x20207C82C0
- Base-36: 1RE03NPC
Squares and roots of 137983984320
- 137983984320 squared (1379839843202) is 19039579928822005862400
- 137983984320 cubed (1379839843203) is 2627157098357962372988349677568000
-
The
square root of 137983984320 is 371461.9554140101 -
The
cube root of 137983984320 is 5167.4493329947
Scales and comparisons
How big is 137983984320?- 137,983,984,320 seconds is equal to 4,387 years, 24 weeks, 20 hours, 32 minutes.
-
To count from 1 to 137,983,984,320 would take you about eight thousand, seven hundred seventy-four 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 137983984320 cubic inches would be around 430.6 feet tall.
Recreational maths with 137983984320
- 137983984320 backwards is 023489389731
- The number of decimal digits it has is: 12
- The sum of 137983984320's digits is 57
- More coming soon!
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The information we have on file for 137983984320 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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