813830630400
813,830,630,400 is an even composite number composed of five prime numbers multiplied together.
813830630400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 813830630400:
210 × 33 × 52 × 73 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 73 × 127 × 127)See below for interesting mathematical facts about the number 813830630400 from the Numbermatics database.
Names of 813830630400
- Cardinal: 813830630400 can be written as Eight hundred thirteen billion, eight hundred thirty million, six hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 8.138306304 × 1011
Factors of 813830630400
Divisors of 813830630400
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 73 75 80 90 96 100 108 120 127 128 135 144 146 150 160 180 192 200 216 219 225 240 254 256 270 288 292 300 320 360 365 381 384 400 432 438 450 480 508 512 540 576 584 600 635 640 657 675 720 730 762 768 800 864 876 900 960 1016 1024 1080 1095 1143 1152 1168 1200 1270 1280 1314 1350 1440 1460 1524 1536 1600 1728 1752 1800 1825 1905 1920 1971 2032 2160 2190 2286 2304 2336 2400 2540 2560 2628 2700 2880 2920 3048 3072 3175 3200 3285 3429 3456 3504 3600 3650 3810 3840 3942 4064 4320 4380 4572 4608 4672 4800 5080 5120 5256 5400 5475 5715 5760 5840 6096 6350 6400 6570 6858 6912 7008 7200 7300 7620 7680 7884 8128 8640 8760 9144 9216 9271 9344 9525 9600 9855 10160 10512 10800 10950 11430 11520 11680 12192 12700 12800 13140 13716 13824 14016 14400 14600 15240 15360 15768 16129 16256 16425 17145 17280 17520 18288 18542 18688 19050 19200 19710 20320 21024 21600 21900 22860 23040 23360 24384 25400 25600 26280 27432 27648 27813 28032 28575 28800 29200 30480 31536 32258 32512 32850 34290 34560 35040 36576 37084 37376 38100 38400 39420 40640 42048 43200 43800 45720 46080 46355 46720 48387 48768 49275 50800 52560 54864 55626 56064 57150 57600 58400 60960 63072 64516 65024 65700 68580 69120 70080 73152 74168 74752 76200 76800 78840 80645 81280 83439 84096 85725 86400 87600 91440 92710 93440 96774 97536 98550 101600 105120 109728 111252 112128 114300 115200 116800 121920 126144 129032 130048 131400 137160 138240 139065 140160 145161 146304 148336 152400 157680 161290 162560 166878 168192 171450 172800 175200 182880 185420 186880 193548 195072 197100 203200 210240 219456 222504 224256 228600 230400 231775 233600 241935 243840 250317 252288 258064 262800 274320 278130 280320 290322 292608 296672 304800 315360 322580 325120 333756 336384 342900 345600 350400 365760 370840 373760 387096 390144 394200 403225 406400 417195 420480 435483 438912 445008 457200 463550 467200 483870 487680 500634 504576 516128 525600 548640 556260 560640 580644 585216 593344 609600 630720 645160 650240 667512 672768 685800 691200 695325 700800 725805 731520 741680 774192 788400 806450 812800 834390 840960 870966 877824 890016 914400 927100 934400 967740 975360 1001268 1009152 1032256 1051200 1097280 1112520 1121280 1161288 1170432 1177417 1186688 1209675 1219200 1251585 1261440 1290320 1335024 1371600 1390650 1401600 1451610 1463040 1483360 1548384 1576800 1612900 1625600 1668780 1681920 1741932 1755648 1780032 1828800 1854200 1868800 1935480 1950720 2002536 2018304 2064512 2085975 2102400 2177415 2194560 2225040 2322576 2354834 2373376 2419350 2438400 2503170 2522880 2580640 2670048 2743200 2781300 2803200 2903220 2926080 2966720 3096768 3153600 3225800 3251200 3337560 3363840 3483864 3511296 3532251 3560064 3629025 3657600 3708400 3870960 4005072 4129024 4171950 4204800 4354830 4389120 4450080 4645152 4709668 4746752 4838700 4876800 5006340 5045760 5161280 5340096 5486400 5562600 5606400 5806440 5852160 5887085 5933440 6193536 6257925 6307200 6451600 6675120 6967728 7064502 7120128 7258050 7315200 7416800 7741920 8010144 8258048 8343900 8409600 8709660 8778240 8900160 9290304 9419336 9493504 9677400 9753600 10012680 10091520 10322560 10596753 10680192 10887075 10972800 11125200 11612880 11774170 11866880 12387072 12515850 12614400 12903200 13350240 13935456 14129004 14240256 14516100 14630400 14833600 15483840 16020288 16516096 16687800 16819200 17419320 17556480 17661255 17800320 18580608 18838672 19354800 20025360 20645120 21193506 21360384 21774150 21945600 22250400 23225760 23548340 23733760 24774144 25031700 25228800 25806400 26700480 27870912 28258008 28480512 29032200 29260800 29435425 29667200 30967680 31790259 32040576 33375600 34838640 35322510 35600640 37161216 37677344 38709600 40050720 41290240 42387012 42720768 43548300 43891200 44500800 46451520 47096680 47467520 49548288 50063400 50457600 51612800 52983765 53400960 55741824 56516016 58064400 58870850 59334400 61935360 63580518 64081152 66751200 69677280 70645020 71201280 74322432 75354688 77419200 80101440 82580480 84774024 85441536 87096600 87782400 88306275 89001600 92903040 94193360 100126800 103225600 105967530 106801920 111483648 113032032 116128800 117741700 118668800 123870720 127161036 128162304 133502400 139354560 141290040 142402560 148644864 150709376 154838400 158951295 160202880 169548048 174193200 176612550 178003200 185806080 188386720 200253600 206451200 211935060 213603840 222967296 226064064 232257600 235483400 237337600 247741440 254322072 256324608 264918825 267004800 278709120 282580080 301418752 309676800 317902590 320405760 339096096 348386400 353225100 356006400 371612160 376773440 400507200 412902400 423870120 427207680 445934592 452128128 464515200 470966800 508644144 529837650 534009600 557418240 565160160 602837504 619353600 635805180 640811520 678192192 696772800 706450200 712012800 743224320 753546880 794756475 801014400 847740240 904256256 929030400 941933600 1017288288 1059675300 1068019200 1114836480 1130320320 1205675008 1238707200 1271610360 1281623040 1356384384 1393545600 1412900400 1507093760 1589512950 1602028800 1695480480 1808512512 1858060800 1883867200 2034576576 2119350600 2136038400 2229672960 2260640640 2543220720 2712768768 2787091200 2825800800 3014187520 3179025900 3204057600 3390960960 3617025024 3716121600 3767734400 4069153152 4238701200 4521281280 5086441440 5425537536 5574182400 5651601600 6028375040 6358051800 6408115200 6781921920 7535468800 8138306304 8477402400 9042562560 10172882880 10851075072 11148364800 11303203200 12716103600 13563843840 15070937600 16276612608 16954804800 18085125120 20345765760 22606406400 25432207200 27127687680 30141875200 32553225216 33909609600 40691531520 45212812800 50864414400 54255375360 67819219200 81383063040 90425625600 101728828800 135638438400 162766126080 203457657600 271276876800 406915315200 813830630400
- Sum of all divisors σ(n): 3053596529040
- Sum of proper divisors (its aliquot sum) s(n): 2239765898640
- 813830630400 is an abundant number, because the sum of its proper divisors (2239765898640) is greater than itself. Its abundance is 1425935268240
Bases of 813830630400
- Binary: 10111101011111000001010111101100000000002
- Hexadecimal: 0xBD7C15EC00
- Base-36: ADV9QTC0
Squares and roots of 813830630400
- 813830630400 squared (8138306304002) is 662320294977261404160000
- 813830630400 cubed (8138306304003) is 539016543188058602213121982464000000
-
The
square root of 813830630400 is 902125.6178603953 -
The
cube root of 813830630400 is 9336.3690551367
Scales and comparisons
How big is 813830630400?- 813,830,630,400 seconds is equal to 25,877 years, 15 weeks, 3 days.
-
To count from 1 to 813,830,630,400 would take you about fifty-one thousand, seven hundred fifty-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 813830630400 cubic inches would be around 778 feet tall.
Recreational maths with 813830630400
- 813830630400 backwards is 004036038318
- 813830630400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 813830630400's digits is 36
- More coming soon!
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