146385341312000
146,385,341,312,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 146385341312000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
146385341312000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 146385341312000:
210 × 53 × 7 × 19 × 37 × 307 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 37 × 307 × 757)See below for interesting mathematical facts about the number 146385341312000 from the Numbermatics database.
Names of 146385341312000
- Cardinal: 146385341312000 can be written as One hundred forty-six trillion, three hundred eighty-five billion, three hundred forty-one million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.46385341312 × 1014
Factors of 146385341312000
Divisors of 146385341312000
- Number of divisors d(n): 1408
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 37 38 40 50 56 64 70 74 76 80 95 100 112 125 128 133 140 148 152 160 175 185 190 200 224 250 256 259 266 280 296 304 307 320 350 370 380 400 448 475 500 512 518 532 560 592 608 614 640 665 700 703 740 757 760 800 875 896 925 950 1000 1024 1036 1064 1120 1184 1216 1228 1280 1295 1330 1400 1406 1480 1514 1520 1535 1600 1750 1792 1850 1900 2000 2072 2128 2149 2240 2368 2375 2432 2456 2560 2590 2660 2800 2812 2960 3028 3040 3070 3200 3325 3500 3515 3584 3700 3785 3800 4000 4144 4256 4298 4480 4625 4736 4750 4864 4912 4921 5120 5180 5299 5320 5600 5624 5833 5920 6056 6080 6140 6400 6475 6650 7000 7030 7168 7400 7570 7600 7675 8000 8288 8512 8596 8960 9250 9472 9500 9728 9824 9842 10360 10598 10640 10745 11200 11248 11359 11666 11840 12112 12160 12280 12800 12950 13300 14000 14060 14383 14800 15140 15200 15350 16000 16576 16625 17024 17192 17575 17920 18500 18925 18944 19000 19456 19648 19684 20720 21196 21280 21490 22400 22496 22718 23332 23680 24224 24320 24560 24605 25600 25900 26495 26600 28000 28009 28120 28766 29165 29600 30280 30400 30700 32000 32375 33152 33250 34048 34384 35150 35840 37000 37850 37888 38000 38375 39296 39368 40831 41440 42392 42560 42980 44800 44992 45436 46664 47360 48448 48640 49120 49210 51800 52990 53200 53725 56000 56018 56240 56795 57532 58330 59200 60560 60800 61400 64000 64750 66304 66500 68096 68768 70300 71915 74000 75700 76000 76750 78592 78736 79513 81662 82880 84784 85120 85960 87875 89600 89984 90872 93328 94625 94720 96896 97280 98240 98420 100681 103600 105980 106400 107450 112000 112036 112480 113590 115064 116660 118400 121120 121600 122800 123025 128000 129500 132475 132608 133000 136192 137536 140045 140600 143830 145825 148000 151400 152000 153500 157184 157472 159026 163324 165760 169568 170240 171920 175750 179200 179968 181744 186656 189250 189440 193792 196063 196480 196840 201362 204155 207200 211960 212800 214900 215821 224000 224072 224960 227180 230128 232399 233320 236800 242240 243200 245600 246050 259000 264950 265216 266000 268625 275072 280090 281200 283975 287660 291650 296000 302800 304000 307000 314368 314944 318052 326648 331520 339136 340480 343840 351500 359575 359936 363488 373312 378500 387584 392126 392960 393680 397565 402724 408310 414400 423920 425600 429800 431642 448000 448144 449920 454360 460256 464798 466640 473600 484480 486400 491200 492100 503405 518000 529900 532000 532171 537250 550144 560180 562400 567950 575320 583300 592000 605600 608000 614000 615125 629888 636104 653296 662375 663040 678272 680960 687680 700225 703000 719150 719872 726976 729125 746624 757000 775168 784252 785920 787360 795130 805448 816620 828800 847840 851200 859600 863284 896000 896288 899840 908720 920512 929596 933280 947200 968960 980315 982400 984200 1006810 1020775 1036000 1059800 1064000 1064342 1074500 1079105 1100288 1120360 1124800 1135900 1150640 1161995 1166600 1184000 1211200 1216000 1228000 1230250 1259776 1272208 1306592 1324750 1326080 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220779050 221000704 224072000 230128000 232399000 237976576 238412608 240765364 241719520 247272536 250960640 254441600 257743360 260286880 261318400 266085500 272471552 275072000 275160416 276250880 282597184 290790400 297470720 298015760 300956705 302149400 309090670 313700800 314944000 318052000 322179200 325358600 326648000 326752994 339136000 340589440 343950520 345313600 353246480 358515200 363488000 368204800 371838400 372519700 373312000 377686750 386751232 392126000 402724000 406698250 407106560 416459008 425736800 429938150 431642000 441558100 448144000 460256000 464798000 465649625 476825216 481530728 483439040 494545072 501921280 508883200 515486720 520573760 522636800 532171000 544943104 550320832 551947625 552501760 565194368 594941440 596031520 601913410 604298800 618181340 627401600 629888000 636104000 644358400 650717200 653296000 653505988 678272000 681178880 687901040 690627200 706492960 717030400 726976000 743676800 745039400 746624000 755373500 772726675 773502464 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3021494000 3090906700 3137008000 3221792000 3253586000 3267529940 3405894400 3439505200 3453136000 3532464800 3585152000 3718384000 3725197000 3814601728 3852245824 3863633375 3867512320 3956360576 4084412425 4164590080 4257368000 4299381500 4402566656 4415581000 4521554944 4574541916 4768252160 4815307280 4834390400 4945450720 5019212800 5088832000 5205737600 5226368000 5228047904 5503208320 5525017600 5651943680 5718177395 5949414400 5960315200 6019134100 6042988000 6181813400 6274016000 6443584000 6507172000 6535059880 6811788800 6879010400 6906272000 7064929600 7436768000 7450394000 7523917625 7704491648 7727266750 7735024640 7912721152 8168824850 8329180160 8514736000 8598763000 8805133312 8831162000 9149083832 9536504320 9630614560 9668780800 9890901440 10177664000 10411475200 10456095808 11006416640 11303887360 11436354790 11920630400 12038268200 12085976000 12363626800 12548032000 12887168000 13014344000 13070119760 13623577600 13758020800 13812544000 14129859200 14873536000 14900788000 15047835250 15408983296 15454533500 15825442304 16337649700 17029472000 17197526000 17662324000 18298167664 19073008640 19261229120 19337561600 19781802880 20422062125 20822950400 20912191616 22012833280 22607774720 22872709580 23841260800 24076536400 24171952000 24727253600 25096064000 26028688000 26140239520 27516041600 27625088000 28259718400 28590886975 29747072000 29801576000 30095670500 30817966592 30909067000 31650884608 32675299400 34058944000 34395052000 35324648000 36596335328 38522458240 38675123200 39563605760 40844124250 41645900800 41824383232 44025666560 45745419160 47682521600 48153072800 48343904000 49454507200 52057376000 52280479040 55032083200 56519436800 57181773950 59603152000 60191341000 61635933184 61818134000 65350598800 68117888000 68790104000 70649296000 73192670656 77044916480 79127211520 81688248500 83648766464 91490838320 95365043200 96306145600 96687808000 98909014400 104114752000 104560958080 110064166400 113038873600 114363547900 119206304000 120382682000 123636268000 130701197600 137580208000 141298592000 142954434875 146385341312 154089832960 158254423040 163376497000 167297532928 182981676640 192612291200 193375616000 197818028800 208229504000 209121916160 220128332800 228727095800 238412608000 240765364000 247272536000 261402395200 275160416000 282597184000 285908869750 292770682624 308179665920 326752994000 365963353280 385224582400 395636057600 418243832320 457454191600 476825216000 481530728000 494545072000 522804790400 550320832000 565194368000 571817739500 585541365248 653505988000 731926706560 770449164800 791272115200 836487664640 914908383200 963061456000 989090144000 1045609580800 1100641664000 1143635479000 1171082730496 1307011976000 1463853413120 1540898329600 1829816766400 1926122912000 1978180288000 2091219161600 2287270958000 2614023952000 2927706826240 3659633532800 3852245824000 3956360576000 4182438323200 4574541916000 5228047904000 5855413652480 7319267065600 7704491648000 9149083832000 10456095808000 14638534131200 18298167664000 20912191616000 29277068262400 36596335328000 73192670656000 146385341312000
- Sum of all divisors σ(n): 453279358371840
- Sum of proper divisors (its aliquot sum) s(n): 306894017059840
- 146385341312000 is an abundant number, because the sum of its proper divisors (306894017059840) is greater than itself. Its abundance is 160508675747840
Bases of 146385341312000
- Binary: 1000010100100010111111100100010011101100000000002
- Hexadecimal: 0x8522FE44EC00
- Base-36: 1FW0HWNQWW
Squares and roots of 146385341312000
- 146385341312000 squared (1463853413120002) is 21428668151030733881344000000
- 146385341312000 cubed (1463853413120003) is 3136842901150217943822383949283328000000000
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The
square root of 146385341312000 is 12098981.0030431901 -
The
cube root of 146385341312000 is 52702.6593302455
Scales and comparisons
How big is 146385341312000?- 146,385,341,312,000 seconds is equal to 4,654,601 years, 2 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
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To count from 1 to 146,385,341,312,000 would take you about eleven million, six hundred thirty-six thousand, five hundred two 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 146385341312000 cubic inches would be around 4391.9 feet tall.
Recreational maths with 146385341312000
- 146385341312000 backwards is 000213143583641
- The number of decimal digits it has is: 15
- The sum of 146385341312000's digits is 41
- More coming soon!
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The information we have on file for 146385341312000 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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