30748383169920
30,748,383,169,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30748383169920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
30748383169920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 30748383169920:
27 × 32 × 5 × 132 × 17 × 41 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 17 × 41 × 45319)See below for interesting mathematical facts about the number 30748383169920 from the Numbermatics database.
Names of 30748383169920
- Cardinal: 30748383169920 can be written as Thirty trillion, seven hundred forty-eight billion, three hundred eighty-three million, one hundred sixty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.074838316992 × 1013
Factors of 30748383169920
Divisors of 30748383169920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 41 45 48 51 52 60 64 65 68 72 78 80 82 85 90 96 102 104 117 120 123 128 130 136 144 153 156 160 164 169 170 180 192 195 204 205 208 221 234 240 246 255 260 272 288 306 312 320 328 338 340 360 369 384 390 408 410 416 442 468 480 492 507 510 520 533 544 576 585 612 615 624 640 656 663 676 680 697 720 738 765 780 816 820 832 845 884 936 960 984 1014 1020 1040 1066 1088 1105 1152 1170 1224 1230 1248 1312 1326 1352 1360 1394 1440 1476 1521 1530 1560 1599 1632 1640 1664 1690 1768 1845 1872 1920 1968 1989 2028 2040 2080 2091 2132 2176 2210 2340 2448 2460 2496 2535 2624 2652 2665 2704 2720 2788 2873 2880 2952 3042 3060 3120 3198 3264 3280 3315 3380 3485 3536 3690 3744 3936 3978 4056 4080 4160 4182 4264 4420 4680 4797 4896 4920 4992 5070 5248 5304 5330 5408 5440 5576 5746 5760 5904 6084 6120 6240 6273 6396 6528 6560 6630 6760 6929 6970 7072 7380 7488 7605 7872 7956 7995 8112 8160 8320 8364 8528 8619 8840 9061 9360 9594 9792 9840 9945 10140 10455 10608 10660 10816 10880 11152 11492 11808 12168 12240 12480 12546 12792 13120 13260 13520 13858 13940 14144 14365 14760 14976 15210 15744 15912 15990 16224 16320 16728 17056 17238 17680 18122 18720 19188 19584 19680 19890 20280 20787 20910 21216 21320 21632 22304 22984 23616 23985 24336 24480 24960 25092 25584 25857 26240 26520 27040 27183 27716 27880 28288 28730 29520 30420 31365 31824 31980 32448 32640 33456 34112 34476 34645 35360 36244 37440 38376 39360 39780 40560 41574 41820 42432 42640 43095 44608 45305 45319 45968 47232 47970 48672 48960 50184 51168 51714 53040 54080 54366 55432 55760 57460 59040 60840 62361 62730 63648 63960 64896 66912 68224 68952 69290 70720 72488 74880 76752 78720 79560 81120 81549 83148 83640 84864 85280 86190 89216 90610 90638 91936 95940 97344 97920 100368 102336 103428 103935 106080 108160 108732 110864 111520 114920 117793 118080 121680 124722 125460 127296 127920 129285 133824 135915 135957 137904 138580 141440 144976 153504 159120 162240 163098 166296 167280 170560 172380 181220 181276 183872 191880 194688 200736 204672 206856 207870 212160 217464 221728 223040 226595 229840 235586 236160 243360 249444 250920 254592 255840 258570 267648 271830 271914 275808 277160 289952 307008 311805 318240 324480 326196 332592 334560 341120 344760 353379 362440 362552 367744 383760 401472 407745 407871 413712 415740 424320 434928 443456 446080 453190 459680 471172 486720 498888 501840 511680 517140 543660 543828 551616 554320 579904 588965 589147 614016 623610 636480 652392 665184 669120 679785 689520 706758 724880 725104 767520 770423 802944 815490 815742 827424 831480 869856 886912 906380 919360 942344 973440 997776 1003680 1023360 1034280 1060137 1087320 1087656 1103232 1108640 1159808 1177930 1178294 1247220 1272960 1304784 1330368 1338240 1359570 1379040 1413516 1449760 1450208 1535040 1540846 1630980 1631484 1654848 1662960 1739712 1766895 1767441 1812760 1838720 1858079 1884688 1995552 2007360 2039355 2068560 2120274 2174640 2175312 2217280 2311269 2355860 2356588 2494440 2609568 2660736 2719140 2758080 2827032 2899520 2900416 2945735 3070080 3081692 3261960 3262968 3309696 3325920 3479424 3533790 3534882 3625520 3716158 3769376 3852115 3991104 4014720 4078710 4137120 4240548 4349280 4350624 4434560 4622538 4711720 4713176 4988880 5219136 5300685 5302323 5438280 5516160 5574237 5654064 5799040 5800832 5891470 6163384 6523920 6525936 6651840 6933807 7067580 7069764 7251040 7432316 7538752 7658911 7704230 7982208 8157420 8274240 8481096 8698560 8701248 8837205 9245076 9290395 9423440 9426352 9977760 10015499 10438272 10601370 10604646 10876560 11148474 11308128 11556345 11782940 12326768 13047840 13051872 13303680 13867614 14135160 14139528 14502080 14864632 15077504 15317822 15408460 16314840 16548480 16722711 16962192 17397120 17402496 17674410 18490152 18580790 18846880 18852704 19955520 20030998 21202740 21209292 21753120 22296948 22616256 22976733 23112690 23565880 24155027 24653536 26095680 26103744 26511615 27735228 27871185 28270320 28279056 29004160 29729264 30046497 30635644 30816920 31587343 32629680 33445422 33924384 34669035 35348820 36980304 37161580 37693760 37705408 38294555 39911040 40061996 42405480 42418584 43506240 44593896 45232512 45953466 46225380 47131760 48310054 49307072 50077495 52191360 52207488 53023230 55470456 55742370 56540640 56558112 59458528 60092994 61271288 61633840 63174686 65259360 66890844 67848768 68930199 69338070 70697640 72465081 73960608 74323160 75387520 75410816 76589110 80123992 83613555 84810960 84837168 87012480 89187792 90139491 91906932 92450760 94263520 94762029 96620108 98614144 100154990 106046460 110940912 111484740 113081280 113116224 114883665 118917056 120185988 120775135 122542576 123267680 126349372 130201487 130518720 133781688 135697536 137860398 138676140 141395280 144930162 147921216 148646320 150232485 153178220 157936715 160247984 167227110 169621920 169674336 178375584 180278982 183813864 184901520 188527040 189524058 193240216 200309980 212092920 217395243 221881824 222969480 226162560 226232448 229767330 237834112 240371976 241550270 245085152 246535360 252698744 260402974 261037440 267563376 275720796 277352280 282790560 284286087 289860324 295842432 297292640 300464970 306356440 314015351 315873430 320495968 334454220 339243840 339348672 344650995 356751168 360557964 362325405 367627728 369803040 377054080 379048116 386480432 390604461 400619960 410635459 424185840 434790486 443763648 445938960 450697455 459534660 473810145 480743952 483100540 490170304 493070720 505397488 520805948 535126752 551441592 554704560 565581120 568572174 579720648 594585280 600929940 612712880 628030702 631746860 640991936 651007435 668908440 678487680 678697344 689301990 713502336 721115928 724650810 735255456 739606080 758096232 772960864 781208922 801239920 821270918 848371680 869580972 887527296 891877920 901394910 919069320 942046053 947620290 961487904 966201080 980340608 1010794976 1041611896 1070253504 1086976215 1102883184 1109409120 1131162240 1137144348 1159441296 1171813383 1189170560 1201859880 1225425760 1231906377 1256061404 1263493720 1281983872 1302014870 1337816880 1378603980 1421430435 1442231856 1449301620 1470510912 1479212160 1516192464 1545921728 1562417844 1570076755 1602479840 1642541836 1696743360 1739161944 1783755840 1802789820 1838138640 1884092106 1895240580 1922975808 1932402160 1953022305 2021589952 2053177295 2083223792 2140507008 2173952430 2205766368 2218818240 2274288696 2318882592 2343626766 2403719760 2450851520 2463812754 2512122808 2526987440 2604029740 2675633760 2757207960 2826138159 2842860870 2884463712 2898603240 2941021824 3032384928 3091843456 3124835688 3140153510 3204959680 3285083672 3393486720 3478323888 3567511680 3605579640 3676277280 3695719131 3768184212 3790481160 3845951616 3864804320 3906044610 4043179904 4106354590 4166447584 4347904860 4411532736 4437636480 4548577392 4637765184 4687253532 4710230265 4807439520 4901703040 4927625508 5024245616 5053974880 5208059480 5338260967 5351267520 5514415920 5652276318 5685721740 5768927424 5797206480 5859066915 6064769856 6159531885 6249671376 6280307020 6409919360 6570167344 6956647776 7211159280 7352554560 7391438262 7536368424 7580962320 7729608640 7812089220 8212709180 8332895168 8695809720 8823065472 9097154784 9275530368 9374507064 9420460530 9614879040 9855251016 10048491232 10107949760 10416118960 10676521934 10702535040 11028831840 11304552636 11371443480 11537854848 11594412960 11718133830 12129539712 12319063770 12499342752 12560614040 13140334688 13913295552 14130690795 14422318560 14705109120 14782876524 15072736848 15161924640 15459217280 15624178440 16014782901 16425418360 16665790336 17391619440 18194309568 18478595655 18749014128 18840921060 19229758080 19710502032 20096982464 20215899520 20832237920 21353043868 22057663680 22609105272 22742886960 23188825920 23436267660 24638127540 24998685504 25121228080 26280669376 26691304835 27826591104 28261381590 28844637120 29565753048 30145473696 30323849280 31248356880 32029565802 32850836720 34783238880 36388619136 36957191310 37498028256 37681842120 39421004064 40193964928 41664475840 42706087736 44115327360 45218210544 45485773920 46377651840 46872535320 48044348703 49276255080 49997371008 50242456160 52561338752 53382609670 56522763180 57689274240 59131506096 60290947392 60647698560 62496713760 64059131604 65701673440 69566477760 73914382620 74996056512 75363684240 78842008128 80073914505 83328951680 85412175472 90436421088 90971547840 93745070640 96088697406 98552510160 100484912320 106765219340 113045526360 118263012192 120581894784 124993427520 128118263208 131403346880 139132955520 147828765240 149992113024 150727368480 157684016256 160147829010 170824350944 180872842176 181943095680 187490141280 192177394812 197105020320 200969824640 213530438680 226091052720 236526024384 240221743515 249986855040 256236526416 262806693760 295657530480 301454736960 320295658020 341648701888 361745684352 374980282560 384354789624 394210040640 427060877360 452182105440 473052048768 480443487030 512473052832 591315060960 602909473920 640591316040 683297403776 749960565120 768709579248 788420081280 854121754720 904364210880 960886974060 1024946105664 1182630121920 1281182632080 1537419158496 1708243509440 1808728421760 1921773948120 2049892211328 2365260243840 2562365264160 3074838316992 3416487018880 3843547896240 5124730528320 6149676633984 7687095792480 10249461056640 15374191584960 30748383169920
- Sum of all divisors σ(n): 124708934750400
- Sum of proper divisors (its aliquot sum) s(n): 93960551580480
- 30748383169920 is an abundant number, because the sum of its proper divisors (93960551580480) is greater than itself. Its abundance is 63212168410560
Bases of 30748383169920
- Binary: 1101111110111001010100111010011001101100000002
- Hexadecimal: 0x1BF72A74CD80
- Base-36: AWDM1FTS0
Squares and roots of 30748383169920
- 30748383169920 squared (307483831699202) is 945463067564219507592806400
- 30748383169920 cubed (307483831699203) is 29071460674472582956047197962220863488000
-
The
square root of 30748383169920 is 5545122.4666295693 -
The
cube root of 30748383169920 is 31328.5836770711
Scales and comparisons
How big is 30748383169920?- 30,748,383,169,920 seconds is equal to 977,703 years, 24 weeks, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 30,748,383,169,920 would take you about two million, four hundred forty-four thousand, two hundred fifty-eight 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 30748383169920 cubic inches would be around 2610.7 feet tall.
Recreational maths with 30748383169920
- 30748383169920 backwards is 02996138384703
- The number of decimal digits it has is: 14
- The sum of 30748383169920's digits is 63
- More coming soon!
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The information we have on file for 30748383169920 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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