31930819248128000
31,930,819,248,128,000 is an even composite number composed of six prime numbers multiplied together.
31930819248128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty-two divisors.
Prime factorization of 31930819248128000:
218 × 53 × 17 × 193 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 19 × 19 × 19 × 61 × 137)See below for interesting mathematical facts about the number 31930819248128000 from the Numbermatics database.
Names of 31930819248128000
- Cardinal: 31930819248128000 can be written as Thirty-one quadrillion, nine hundred thirty trillion, eight hundred nineteen billion, two hundred forty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.1930819248128 × 1016
Factors of 31930819248128000
Divisors of 31930819248128000
- Number of divisors d(n): 2432
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Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 61 64 68 76 80 85 95 100 122 125 128 136 137 152 160 170 190 200 244 250 256 272 274 304 305 320 323 340 361 380 400 425 475 488 500 512 544 548 608 610 640 646 680 685 722 760 800 850 950 976 1000 1024 1037 1088 1096 1159 1216 1220 1280 1292 1360 1370 1444 1520 1525 1600 1615 1700 1805 1900 1952 2000 2048 2074 2125 2176 2192 2318 2329 2375 2432 2440 2560 2584 2603 2720 2740 2888 3040 3050 3200 3230 3400 3425 3610 3800 3904 4000 4096 4148 4250 4352 4384 4636 4658 4750 4864 4880 5120 5168 5185 5206 5440 5480 5776 5795 6080 6100 6137 6400 6460 6800 6850 6859 7220 7600 7625 7808 8000 8075 8192 8296 8357 8500 8704 8768 9025 9272 9316 9500 9728 9760 10240 10336 10370 10412 10880 10960 11552 11590 11645 12160 12200 12274 12800 12920 13015 13600 13700 13718 14440 15200 15250 15616 16000 16150 16384 16592 16714 17000 17125 17408 17536 18050 18544 18632 19000 19456 19520 19703 20480 20672 20740 20824 21760 21920 22021 23104 23180 23290 24320 24400 24548 25600 25840 25925 26030 27200 27400 27436 28880 28975 30400 30500 30685 31232 32000 32300 32768 33184 33428 34000 34250 34295 34816 35072 36100 37088 37264 38000 38912 39040 39406 40375 40960 41344 41480 41648 41785 43520 43840 44042 44251 45125 46208 46360 46580 48640 48800 49096 49457 51200 51680 51850 52060 54400 54800 54872 57760 57950 58225 60800 61000 61370 62464 64000 64600 65075 65536 66368 66856 68000 68500 68590 69632 70144 72200 74176 74528 76000 77824 78080 78812 80750 81920 82688 82960 83296 83570 87040 87680 88084 88502 90250 92416 92720 93160 97280 97600 98192 98515 98914 102400 103360 103700 104120 108800 109600 109744 110105 115520 115900 116450 116603 121600 122000 122740 124928 128000 129200 129625 130150 131072 132736 133712 136000 137000 137180 139264 140288 142069 144400 144875 148352 149056 152000 153425 155648 156160 157624 158783 161500 163840 165376 165920 166592 167140 171475 174080 175360 176168 177004 180500 184832 185440 186320 194560 195200 196384 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615830650880 617856409600 623648813440 645627904000 650375168000 654320066560 656472435200 685504921600 688757964800 691023616000 707608182784 721584128000 725008384000 728348979200 733704486400 764169420800 766683136000 769788313600 772320512000 779561016800 790856204288 810303488000 817900083200 820590544000 840284717056 856881152000 860947456000 884510228480 910436224000 917130608000 931063398400 932286693376 939141742592 955211776000 962235392000 974451271000 988570255360 997838101504 1022375104000 1040600268800 1046912106496 1050355896320 1102012743680 1105637785600 1163829248000 1165358366720 1173927178240 1226693017600 1231661301760 1235712819200 1247297626880 1300750336000 1308640133120 1312944870400 1371009843200 1377515929600 1382047232000 1450016768000 1456697958400 1467408972800 1533366272000 1539576627200 1544641024000 1559122033600 1620606976000 1635800166400 1641181088000 1680569434112 1713762304000 1721894912000 1769020456960 1820872448000 1834261216000 1864573386752 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7795610168000 7982704812032 8179000832000 8402847170560 8845102284800 9322866933760 9391417425920 9885702553600 9978381015040 10469121064960 10503558963200 11056377856000 11653583667200 11739271782400 12266930176000 12357128192000 12472976268800 13086401331200 13129448704000 13444555472896 13710098432000 13775159296000 14566979584000 14674089728000 15026267881472 15395766272000 15591220336000 15965409624064 16358001664000 16805694341120 17690204569600 18782834851840 19771405107200 19956762030080 20938242129920 21007117926400 22112755712000 23307167334400 23478543564800 24714256384000 24945952537600 26172802662400 26258897408000 27550318592000 29133959168000 29348179456000 30791532544000 31182440672000 31930819248128 32716003328000 33611388682240 37565669703680 39913524060160 42014235852800 44225511424000 46614334668800 46957087129600 49428512768000 49891905075200 52345605324800 52517794816000 58267918336000 58696358912000 62364881344000 63861638496256 65432006656000 67222777364480 75131339407360 79827048120320 84028471705600 88451022848000 93914174259200 98857025536000 99783810150400 104691210649600 105035589632000 116535836672000 117392717824000 124729762688000 127723276992512 130864013312000 159654096240640 168056943411200 187828348518400 199567620300800 210071179264000 233071673344000 234785435648000 249459525376000 255446553985024 261728026624000 319308192481280 336113886822400 375656697036800 399135240601600 420142358528000 469570871296000 498919050752000 523456053248000 638616384962560 798270481203200 840284717056000 939141742592000 997838101504000 1277232769925120 1596540962406400 1680569434112000 1878283485184000 1995676203008000 3193081924812800 3991352406016000 6386163849625600 7982704812032000 15965409624064000 31930819248128000
- Sum of all divisors σ(n): 91195946434794240
- Sum of proper divisors (its aliquot sum) s(n): 59265127186666240
- 31930819248128000 is an abundant number, because the sum of its proper divisors (59265127186666240) is greater than itself. Its abundance is 27334307938538240
Bases of 31930819248128000
- Binary: 11100010111000011101001001100101010110000000000000000002
- Hexadecimal: 0x7170E932AC0000
- Base-36: 8QEJ3UV0HKW
Squares and roots of 31930819248128000
- 31930819248128000 squared (319308192481280002) is 1019577217856621575231504384000000
- 31930819248128000 cubed (319308192481280003) is 32555935852889007382539847802253215793152000000000
-
The
square root of 31930819248128000 is 178691967.4975011291 -
The
cube root of 31930819248128000 is 317251.2586610339
Scales and comparisons
How big is 31930819248128000?- 31,930,819,248,128,000 seconds is equal to 1,015,301,283 years, 30 weeks, 1 day, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 31,930,819,248,128,000 would take you about three billion, forty-five million, nine hundred three thousand, eight hundred fifty 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 31930819248128000 cubic inches would be around 26437.6 feet tall.
Recreational maths with 31930819248128000
- 31930819248128000 backwards is 00082184291803913
- The number of decimal digits it has is: 17
- The sum of 31930819248128000's digits is 59
- More coming soon!
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"Number 31930819248128000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 31930819248128000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/31930819248128000/
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The information we have on file for 31930819248128000 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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