30813036936921600
30,813,036,936,921,600 is an even composite number composed of six prime numbers multiplied together.
30813036936921600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 30813036936921600:
29 × 3 × 52 × 17 × 47 × 1004283901
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 47 × 1004283901)See below for interesting mathematical facts about the number 30813036936921600 from the Numbermatics database.
Names of 30813036936921600
- Cardinal: 30813036936921600 can be written as Thirty quadrillion, eight hundred thirteen trillion, thirty-six billion, nine hundred thirty-six million, nine hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 3.08130369369216 × 1016
Factors of 30813036936921600
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1004283975
Divisors of 30813036936921600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 47 48 50 51 60 64 68 75 80 85 94 96 100 102 120 128 136 141 150 160 170 188 192 200 204 235 240 255 256 272 282 300 320 340 376 384 400 408 425 470 480 510 512 544 564 600 640 680 705 752 768 799 800 816 850 940 960 1020 1088 1128 1175 1200 1275 1280 1360 1410 1504 1536 1598 1600 1632 1700 1880 1920 2040 2176 2256 2350 2397 2400 2550 2560 2720 2820 3008 3196 3200 3264 3400 3525 3760 3840 3995 4080 4352 4512 4700 4794 4800 5100 5440 5640 6016 6392 6400 6528 6800 7050 7520 7680 7990 8160 8704 9024 9400 9588 9600 10200 10880 11280 11985 12032 12784 12800 13056 13600 14100 15040 15980 16320 18048 18800 19176 19200 19975 20400 21760 22560 23970 24064 25568 26112 27200 28200 30080 31960 32640 36096 37600 38352 38400 39950 40800 43520 45120 47940 51136 54400 56400 59925 60160 63920 65280 72192 75200 76704 79900 81600 90240 95880 102272 108800 112800 119850 120320 127840 130560 150400 153408 159800 163200 180480 191760 204544 217600 225600 239700 255680 300800 306816 319600 326400 360960 383520 409088 451200 479400 511360 601600 613632 639200 652800 767040 902400 958800 1022720 1227264 1278400 1534080 1804800 1917600 2045440 2556800 3068160 3835200 5113600 6136320 7670400 10227200 15340800 30681600 1004283901 2008567802 3012851703 4017135604 5021419505 6025703406 8034271208 10042839010 12051406812 15064258515 16068542416 17072826317 20085678020 24102813624 25107097525 30128517030 32137084832 34145652634 40171356040 47201343347 48205627248 50214195050 51218478951 60257034060 64274169664 68291305268 75321292575 80342712080 85364131585 94402686694 96411254496 100428390100 102436957902 120514068120 128548339328 136582610536 141604030041 150642585150 160685424160 170728263170 188805373388 192822508992 200856780200 204873915804 236006716735 241028136240 256092394755 257096678656 273165221072 283208060082 301285170300 321370848320 341456526340 377610746776 385645017984 401713560400 409747831608 426820657925 472013433470 482056272480 512184789510 514193357312 546330442144 566416120164 602570340600 642741696640 682913052680 708020150205 755221493552 771290035968 802422836899 803427120800 819495663216 853641315850 944026866940 964112544960 1024369579020 1092660884288 1132832240328 1180033583675 1205140681200 1280461973775 1285483393280 1365826105360 1416040300410 1510442987104 1542580071936 1604845673798 1606854241600 1638991326432 1707282631700 1888053733880 1928225089920 2048739158040 2185321768576 2265664480656 2360067167350 2407268510697 2410281362400 2560923947550 2570966786560 2731652210720 2832080600820 3020885974208 3209691347596 3213708483200 3277982652864 3414565263400 3540100751025 3776107467760 3856450179840 4012114184495 4097478316080 4370643537152 4531328961312 4720134334700 4814537021394 4820562724800 5121847895100 5463304421440 5664161201640 6041771948416 6419382695192 6427416966400 6555965305728 6829130526800 7080201502050 7552214935520 7712900359680 8024228368990 8194956632160 8741287074304 9062657922624 9440268669400 9629074042788 9641125449600 10243695790200 10926608842880 11328322403280 12036342553485 12083543896832 12838765390384 12854833932800 13111930611456 13658261053600 14160403004100 15104429871040 16048456737980 16389913264320 18125315845248 18880537338800 19258148085576 19282250899200 20060570922475 20487391580400 21853217685760 22656644806560 24072685106970 24167087793664 25677530780768 26223861222912 27316522107200 28320806008200 30208859742080 32096913475960 32779826528640 36250631690496 37761074677600 38516296171152 38564501798400 40121141844950 40974783160800 43706435371520 45313289613120 48145370213940 51355061561536 54633044214400 56641612016400 60181712767425 60417719484160 64193826951920 65559653057280 72501263380992 75522149355200 77032592342304 80242283689900 81949566321600 90626579226240 96290740427880 102710123123072 109266088428800 113283224032800 120363425534850 120835438968320 128387653903840 131119306114560 151044298710400 154065184684608 160484567379800 163899132643200 181253158452480 192581480855760 205420246246144 218532176857600 226566448065600 240726851069700 256775307807680 302088597420800 308130369369216 320969134759600 327798265286400 362506316904960 385162961711520 410840492492288 453132896131200 481453702139400 513550615615360 604177194841600 616260738738432 641938269519200 655596530572800 770325923423040 906265792262400 962907404278800 1027101231230720 1232521477476864 1283876539038400 1540651846846080 1812531584524800 1925814808557600 2054202462461440 2567753078076800 3081303693692160 3851629617115200 5135506156153600 6162607387384320 7703259234230400 10271012312307200 15406518468460800 30813036936921600
- Sum of all divisors σ(n): 110069644207539456
- Sum of proper divisors (its aliquot sum) s(n): 79256607270617856
- 30813036936921600 is an abundant number, because the sum of its proper divisors (79256607270617856) is greater than itself. Its abundance is 48443570333696256
Bases of 30813036936921600
- Binary: 11011010111100001001011001110010001001110000010000000002
- Hexadecimal: 0x6D784B39138200
- Base-36: 8FEB5R37E2O
Squares and roots of 30813036936921600
- 30813036936921600 squared (308130369369216002) is 949443245276094857777284546560000
- 30813036936921600 cubed (308130369369216003) is 29255229786203025265377584615862837178269696000000
-
The
square root of 30813036936921600 is 175536426.2394606233 -
The
cube root of 30813036936921600 is 313505.2621773125
Scales and comparisons
How big is 30813036936921600?- 30,813,036,936,921,600 seconds is equal to 979,759,263 years, 31 weeks, 6 days, 2 hours, 40 minutes.
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To count from 1 to 30,813,036,936,921,600 would take you about two billion, nine hundred thirty-nine million, two hundred seventy-seven thousand, seven hundred ninety 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 30813036936921600 cubic inches would be around 26125.4 feet tall.
Recreational maths with 30813036936921600
- 30813036936921600 backwards is 00612963963031803
- 30813036936921600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 30813036936921600's digits is 60
- More coming soon!
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