34934829009920
34,934,829,009,920 is an even composite number composed of five prime numbers multiplied together.
34934829009920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 34934829009920:
210 × 5 × 73 × 173 × 4049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 17 × 17 × 17 × 4049)See below for interesting mathematical facts about the number 34934829009920 from the Numbermatics database.
Names of 34934829009920
- Cardinal: 34934829009920 can be written as Thirty-four trillion, nine hundred thirty-four billion, eight hundred twenty-nine million, nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.493482900992 × 1013
Factors of 34934829009920
Divisors of 34934829009920
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 80 85 98 112 119 128 136 140 160 170 196 224 238 245 256 272 280 289 320 340 343 392 448 476 490 512 544 560 578 595 640 680 686 784 833 896 952 980 1024 1088 1120 1156 1190 1280 1360 1372 1445 1568 1666 1715 1792 1904 1960 2023 2176 2240 2312 2380 2560 2720 2744 2890 3136 3332 3430 3584 3808 3920 4046 4049 4165 4352 4480 4624 4760 4913 5120 5440 5488 5780 5831 6272 6664 6860 7168 7616 7840 8092 8098 8330 8704 8960 9248 9520 9826 10115 10880 10976 11560 11662 12544 13328 13720 14161 15232 15680 16184 16196 16660 17408 17920 18496 19040 19652 20230 20245 21760 21952 23120 23324 24565 25088 26656 27440 28322 28343 29155 30464 31360 32368 32392 33320 34391 35840 36992 38080 39304 40460 40490 43520 43904 46240 46648 49130 50176 53312 54880 56644 56686 58310 60928 62720 64736 64784 66640 68782 68833 70805 73984 76160 78608 80920 80980 87040 87808 92480 93296 98260 99127 106624 109760 113288 113372 116620 121856 125440 129472 129568 133280 137564 137666 141610 141715 147968 152320 157216 161840 161960 171955 175616 184960 186592 196520 198254 198401 213248 219520 226576 226744 233240 240737 250880 258944 259136 266560 275128 275332 283220 283430 295936 304640 314432 323680 323920 343910 344165 351232 369920 373184 393040 396508 396802 426496 439040 453152 453488 466480 481474 481831 495635 517888 518272 533120 550256 550664 566440 566860 609280 628864 647360 647840 687820 688330 739840 746368 786080 793016 793604 852992 878080 906304 906976 932960 962948 963662 991270 992005 1035776 1036544 1066240 1100512 1101328 1132880 1133720 1170161 1203685 1257728 1294720 1295680 1375640 1376660 1388807 1479680 1492736 1572160 1586032 1587208 1685159 1756160 1812608 1813952 1865920 1925896 1927324 1982540 1984010 2071552 2073088 2132480 2201024 2202656 2265760 2267440 2340322 2407370 2409155 2515456 2589440 2591360 2751280 2753320 2777614 2985472 3144320 3172064 3174416 3370318 3372817 3625216 3627904 3731840 3851792 3854648 3965080 3968020 4146176 4264960 4402048 4405312 4531520 4534880 4680644 4814740 4818310 5030912 5178880 5182720 5502560 5506640 5555228 5850805 5970944 6288640 6344128 6348832 6740636 6745634 6944035 7250432 7255808 7463680 7703584 7709296 7930160 7936040 8191127 8425795 8804096 8810624 9063040 9069760 9361288 9629480 9636620 10357760 10365440 11005120 11013280 11110456 11701610 12577280 12688256 12697664 13481272 13491268 13888070 14500864 14511616 14927360 15407168 15418592 15860320 15872080 16382254 16851590 16864085 17608192 17621248 18126080 18139520 18722576 19258960 19273240 19892737 20730880 22010240 22026560 22220912 23403220 23609719 25154560 25376512 25395328 26962544 26982536 27776140 29023232 29854720 30814336 30837184 31720640 31744160 32764508 33703180 33728170 35216384 35242496 36252160 36279040 37445152 38517920 38546480 39785474 40955635 44020480 44053120 44441824 46806440 47219438 50753024 50790656 53925088 53965072 55552280 57337889 61628672 61674368 63441280 63488320 65529016 67406360 67456340 70484992 72504320 72558080 74890304 77035840 77092960 79570948 81911270 88040960 88106240 88883648 93612880 94438876 99463685 101506048 101581312 107850176 107930144 111104560 114675778 118048595 123257344 123348736 126882560 126976640 131058032 134812720 134912680 139249159 145116160 149780608 154071680 154185920 159141896 163822540 176081920 176212480 177767296 187225760 188877752 198927370 203162624 215700352 215860288 222209120 229351556 236097190 246514688 246697472 253765120 253953280 262116064 269625440 269825360 278498318 286689445 299561216 308143360 308371840 318283792 327645080 352424960 355534592 374451520 377755504 397854740 401365223 431400704 431720576 444418240 458703112 472194380 493394944 507530240 507906560 524232128 539250880 539650720 556996636 573378890 599122432 616286720 616743680 636567584 655290160 696245795 711069184 748903040 755511008 795709480 802730446 862801408 863441152 888836480 917406224 944388760 974744113 1015813120 1048464256 1078501760 1079301440 1113993272 1146757780 1198244864 1232573440 1233487360 1273135168 1310580320 1392491590 1422138368 1497806080 1511022016 1591418960 1605460892 1725602816 1726882304 1777672960 1834812448 1888777520 1949488226 2006826115 2096928512 2157003520 2158602880 2227986544 2293515560 2466974720 2546270336 2621160640 2784983180 2995612160 3022044032 3182837920 3210921784 3453764608 3555345920 3669624896 3777555040 3898976452 4013652230 4193857024 4314007040 4317205760 4455973088 4587031120 4873720565 5092540672 5242321280 5569966360 5991224320 6044088064 6365675840 6421843568 6823208791 7110691840 7339249792 7555110080 7797952904 8027304460 8387714048 8628014080 8634411520 8911946176 9174062240 9747441130 10185081344 10484642560 11139932720 12088176128 12731351680 12843687136 13646417582 14678499584 15110220160 15595905808 16054608920 17268823040 17823892352 18348124480 19494882260 20370162688 20969285120 22279865440 24176352256 25462703360 25687374272 27292835164 29356999168 30220440320 31191811616 32109217840 34116043955 35647784704 36696248960 38989764520 41938570240 44559730880 50925406720 51374748544 54585670328 58713998336 60440880640 62383623232 64218435680 68232087910 71295569408 73392497920 77979529040 89119461760 101850813440 102749497088 109171340656 120881761280 124767246464 128436871360 136464175820 142591138816 146784995840 155959058080 178238923520 205498994176 218342681312 249534492928 256873742720 272928351640 293569991680 311918116160 356477847040 410997988352 436685362624 499068985856 513747485440 545856703280 623836232320 712955694080 873370725248 998137971712 1027494970880 1091713406560 1247672464640 1746741450496 2054989941760 2183426813120 2495344929280 3493482900992 4366853626240 4990689858560 6986965801984 8733707252480 17467414504960 34934829009920
- Sum of all divisors σ(n): 103861504800000
- Sum of proper divisors (its aliquot sum) s(n): 68926675790080
- 34934829009920 is an abundant number, because the sum of its proper divisors (68926675790080) is greater than itself. Its abundance is 33991846780160
Bases of 34934829009920
- Binary: 1111111000101111001100001001011001100000000002
- Hexadecimal: 0x1FC5E612CC00
- Base-36: CDSU779Q8
Squares and roots of 34934829009920
- 34934829009920 squared (349348290099202) is 1220442277952348007458406400
- 34934829009920 cubed (349348290099203) is 42635942296742535186337444430492991488000
-
The
square root of 34934829009920 is 5910569.2627631057 -
The
cube root of 34934829009920 is 32690.3477607453
Scales and comparisons
How big is 34934829009920?- 34,934,829,009,920 seconds is equal to 1,110,819 years, 26 weeks, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 34,934,829,009,920 would take you about two million, seven hundred seventy-seven thousand and forty-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 34934829009920 cubic inches would be around 2724.2 feet tall.
Recreational maths with 34934829009920
- 34934829009920 backwards is 02990092843943
- The number of decimal digits it has is: 14
- The sum of 34934829009920's digits is 62
- More coming soon!
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