506993508112000
506,993,508,112,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 506993508112000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
506993508112000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 506993508112000:
27 × 53 × 75 × 13 × 17 × 19 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 17 × 19 × 449)See below for interesting mathematical facts about the number 506993508112000 from the Numbermatics database.
Names of 506993508112000
- Cardinal: 506993508112000 can be written as Five hundred six trillion, nine hundred ninety-three billion, five hundred eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 5.06993508112 × 1014
Factors of 506993508112000
Divisors of 506993508112000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 19 20 25 26 28 32 34 35 38 40 49 50 52 56 64 65 68 70 76 80 85 91 95 98 100 104 112 119 125 128 130 133 136 140 152 160 170 175 182 190 196 200 208 221 224 238 245 247 250 260 266 272 280 304 320 323 325 340 343 350 364 380 392 400 416 425 442 448 449 455 475 476 490 494 500 520 532 544 560 595 608 637 640 646 650 665 680 686 700 728 760 784 800 832 833 850 875 884 896 898 910 931 950 952 980 988 1000 1040 1064 1088 1105 1120 1190 1216 1225 1235 1274 1292 1300 1330 1360 1372 1400 1456 1520 1547 1568 1600 1615 1625 1664 1666 1700 1715 1729 1750 1768 1796 1820 1862 1900 1904 1960 1976 2000 2080 2125 2128 2176 2210 2240 2245 2261 2275 2375 2380 2401 2432 2450 2470 2548 2584 2600 2660 2720 2744 2800 2912 2975 3040 3094 3136 3143 3185 3200 3230 3250 3325 3332 3400 3430 3458 3500 3536 3592 3640 3724 3800 3808 3920 3952 4000 4160 4165 4199 4250 4256 4420 4459 4480 4490 4522 4550 4655 4750 4760 4802 4900 4940 5096 5168 5200 5320 5440 5488 5525 5600 5824 5831 5837 5950 6080 6125 6175 6188 6272 6286 6370 6460 6500 6517 6650 6664 6800 6860 6916 7000 7072 7184 7280 7448 7600 7616 7633 7735 7840 7904 8000 8075 8320 8330 8398 8500 8512 8531 8575 8645 8840 8918 8980 9044 9100 9310 9500 9520 9604 9800 9880 10192 10336 10400 10640 10829 10880 10976 11050 11200 11225 11305 11375 11648 11662 11674 11900 12005 12103 12160 12250 12350 12376 12572 12740 12920 13000 13034 13300 13328 13600 13720 13832 14000 14144 14368 14560 14875 14896 15200 15232 15266 15470 15680 15715 15808 15827 15925 16000 16150 16625 16660 16796 16807 17000 17024 17062 17150 17290 17680 17836 17960 18088 18200 18620 19000 19040 19208 19600 19760 20384 20672 20800 20825 20995 21280 21658 21952 22001 22100 22295 22400 22450 22610 22750 23275 23324 23348 23800 24010 24206 24500 24700 24752 25144 25480 25840 26000 26068 26600 26656 27200 27440 27625 27664 28000 28288 28736 29120 29155 29185 29393 29750 29792 30400 30532 30875 30940 31213 31360 31430 31616 31654 31850 32300 32585 33250 33320 33592 33614 34000 34124 34300 34580 35360 35672 35920 36176 36400 37240 38000 38080 38165 38416 38675 39200 39520 40375 40768 40817 40859 41344 41600 41650 41990 42560 42655 42875 43225 43316 43904 44002 44200 44590 44900 45220 45500 45619 46550 46648 46696 47600 48020 48412 49000 49400 49504 50288 50960 51680 52000 52136 53200 53312 53431 54145 54400 54880 55250 55328 56000 56125 56525 57472 58240 58310 58370 58786 59500 59584 59717 60025 60515 60800 61064 61750 61880 62426 62860 63308 63700 64600 65170 66500 66640 67184 67228 68000 68248 68600 69160 70720 71344 71840 72352 72800 74480 75803 76000 76160 76330 76832 77350 78400 78575 79040 79135 79625 80750 81536 81634 81718 83300 83980 84035 84721 85120 85310 85750 86450 86632 88004 88400 89180 89800 90440 91000 91238 93100 93296 93392 95200 96040 96824 98000 98800 99008 99229 100576 101920 103360 104000 104125 104272 104975 106400 106624 106862 108290 109760 110005 110500 110656 110789 110903 111475 112000 112250 113050 116375 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15092686000 15215891600 15247925056 15559107200 15696393440 15918163520 16016728000 16035978875 16130878400 16166884825 16243024000 16386344800 16420842368 16605316000 16677418030 17017773500 17041798592 17248784000 17371715200 17389590400 17410491350 17643148250 17922564625 18106911004 18326833000 18352706176 18476439800 18639467210 19019864500 19059906320 19448884000 19499750312 19620491800 19897704400 20163598000 20482931000 20526052960 20693612576 20944952000 21115931200 21302248240 21714644000 21736988000 21782750080 22285428928 22423419200 22583229760 22633638755 22740233600 22940882720 23044112000 23095549750 23409064000 23824882900 24148297600 24345426560 24374687890 24525614750 24872130500 25657566200 25867015720 26394914000 26627810300 26683868848 27228437600 27856786160 28029274000 28229037200 28425292000 28676103400 29322932800 29562303680 29714776000 29781103625 29823147536 30165616000 30185372000 30431783200 30495850112 31392786880 31687094257 31836327040 32033456000 32071957750 32261756800 32333769650 32772689600 33210632000 33284762875 33354836060 34035547000 34083597184 34820982700 35286296500 35845129250 36213822008 36653666000 36952879600 37278934420 38039729000 38119812640 38897768000 38999500624 39240983600 39795408800 40327196000 40965862000 41052105920 41387225152 41693545075 41889904000 42231862400 42604496480 43429288000 43473976000 43526228375 44570857856 44846838400 45166459520 45267277510 45881765440 46191099500 46598668025 46818128000 47649765800 48749375780 49051229500 49744261000 51315132400 51734031440 52789828000 53255620600 53367737696 54456875200 55713572320 56058548000 56458074400 56850584000 57352206800 58645865600 59124607360 59429552000 59562207250 59646295072 60370744000 60863566400 60936719725 62785573760 63374188514 64143915500 64667539300 65545379200 66421264000 66569525750 66709672120 68071094000 69641965400 70572593000 71690258500 72427644016 73307332000 73905759200 74557868840 76079458000 76239625280 77795536000 77999001248 78481967200 79590817600 80654392000 80834424125 81931724000 82104211840 82774450304 83387090150 85208992960 86858576000 86947952000 87052456750 90534555020 91763530880 92382199000 93197336050 95299531600 97498751560 98102459000 99488522000 102630264800 103468062880 105579656000 106511241200 106735475392 108913750400 111427144640 112117096000 112916148800 113168193775 113701168000 114704413600 119124414500 119292590144 120741488000 121727132800 121873439450 126748377028 128287831000 129335078600 133139051500 133419344240 136142188000 139283930800 141145186000 143380517000 144855288032 146614664000 147811518400 149115737680 152158916000 152479250560 155998002496 156963934400 158435471285 159181635200 161308784000 161668848250 163863448000 166774180300 170417985920 174104913500 181069110040 184764398000 186394672100 190599063200 194997503120 196204918000 198977044000 205260529600 206936125760 208467725375 211159312000 213022482400 213470950784 222854289280 224234192000 225832297600 226336387550 229408827200 232993340125 238248829000 238585180288 243746878900 253496754056 256575662000 258670157200 266278103000 266838688480 272284376000 278567861600 282290372000 286761034000 289710576064 293229328000 295623036800 298231475360 304317832000 304683598625 311996004992 313927868800 316870942570 323337696500 327726896000 333548360600 348209827000 362138220080 369528796000 372789344200 381198126400 389995006240 392409836000 397954088000 410521059200 413872251520 416935450750 426044964800 452672775100 458817654400 465986680250 476497658000 487493757800 506993508112 513151324000 517340314400 532556206000 533677376960 544568752000 557135723200 564580744000 565840968875 573522068000 579421152128 596462950720 608635664000 609367197250 633741885140 646675393000 667096721200 696419654000 724276440160 739057592000 745578688400 762396252800 779990012480 784819672000 792177356425 795908176000 833870901500 852089929600 905345550200 931973360500 952995316000 974987515600 1013987016224 1026302648000 1034680628800 1065112412000 1067354753920 1114271446400 1129161488000 1131681937750 1147044136000 1192925901440 1218734394500 1267483770280 1293350786000 1334193442400 1392839308000 1448552880320 1478115184000 1491157376800 1559980024960 1569639344000 1584354712850 1667741803000 1810691100400 1863946721000 1905990632000 1949975031200 2027974032448 2052605296000 2069361257600 2130224824000 2263363875500 2294088272000 2437468789000 2534967540560 2586701572000 2668386884800 2785678616000 2897105760640 2982314753600 3168709425700 3335483606000 3621382200800 3727893442000 3811981264000 3899950062400 3960886782125 4055948064896 4260449648000 4526727751000 4874937578000 5069935081120 5173403144000 5336773769600 5571357232000 5964629507200 6337418851400 6670967212000 7242764401600 7455786884000 7799900124800 7921773564250 9053455502000 9749875156000 10139870162240 10346806288000 12674837702800 13341934424000 14485528803200 14911573768000 15843547128500 18106911004000 19499750312000 20279740324480 25349675405600 26683868848000 29823147536000 31687094257000 36213822008000 38999500624000 50699350811200 63374188514000 72427644016000 101398701622400 126748377028000 253496754056000 506993508112000
- Sum of all divisors σ(n): 1769054152320000
- Sum of proper divisors (its aliquot sum) s(n): 1262060644208000
- 506993508112000 is an abundant number, because the sum of its proper divisors (1262060644208000) is greater than itself. Its abundance is 755067136096000
Bases of 506993508112000
- Binary: 11100110100011011100111111111010001010110100000002
- Hexadecimal: 0x1CD1B9FF45680
- Base-36: 4ZPPLOJMV4
Squares and roots of 506993508112000
- 506993508112000 squared (5069935081120002) is 257042417267712609804544000000
- 506993508112000 cubed (5069935081120003) is 130318836864146141914624769198460928000000000
-
The
square root of 506993508112000 is 22516516.3404999221 -
The
cube root of 506993508112000 is 79738.3906535607
Scales and comparisons
How big is 506993508112000?- 506,993,508,112,000 seconds is equal to 16,120,825 years, 16 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 506,993,508,112,000 would take you about forty million, three hundred two thousand and sixty-three 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 506993508112000 cubic inches would be around 6644.9 feet tall.
Recreational maths with 506993508112000
- 506993508112000 backwards is 000211805399605
- 506993508112000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 506993508112000's digits is 49
- More coming soon!
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"Number 506993508112000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 506993508112000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/506993508112000/
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The information we have on file for 506993508112000 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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