3428679623168000
3,428,679,623,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 3428679623168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
3428679623168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 3428679623168000:
212 × 53 × 192 × 592 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 59 × 59 × 73 × 73)See below for interesting mathematical facts about the number 3428679623168000 from the Numbermatics database.
Names of 3428679623168000
- Cardinal: 3428679623168000 can be written as Three quadrillion, four hundred twenty-eight trillion, six hundred seventy-nine billion, six hundred twenty-three million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.428679623168 × 1015
Factors of 3428679623168000
Divisors of 3428679623168000
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 59 64 73 76 80 95 100 118 125 128 146 152 160 190 200 236 250 256 292 295 304 320 361 365 380 400 472 475 500 512 584 590 608 640 722 730 760 800 944 950 1000 1024 1121 1168 1180 1216 1280 1387 1444 1460 1475 1520 1600 1805 1825 1888 1900 2000 2048 2242 2336 2360 2375 2432 2560 2774 2888 2920 2950 3040 3200 3481 3610 3650 3776 3800 4000 4096 4307 4484 4672 4720 4750 4864 5120 5329 5548 5605 5776 5840 5900 6080 6400 6935 6962 7220 7300 7375 7552 7600 8000 8614 8968 9025 9125 9344 9440 9500 9728 10240 10658 11096 11210 11552 11680 11800 12160 12800 13870 13924 14440 14600 14750 15104 15200 16000 17228 17405 17936 18050 18250 18688 18880 19000 19456 20480 21299 21316 21535 22192 22420 23104 23360 23600 24320 25600 26353 26645 27740 27848 28025 28880 29200 29500 30208 30400 32000 34456 34675 34810 35872 36100 36500 37376 37760 38000 38912 42598 42632 43070 44384 44840 45125 46208 46720 47200 48640 51200 52706 53290 55480 55696 56050 57760 58400 59000 60416 60800 64000 66139 68912 69350 69620 71744 72200 73000 74752 75520 76000 77824 81833 85196 85264 86140 87025 88768 89680 90250 92416 93440 94400 97280 101251 102400 105412 106495 106580 107675 110960 111392 112100 115520 116800 118000 120832 121600 128000 131765 132278 133225 137824 138700 139240 140125 143488 144400 146000 149504 151040 152000 163666 170392 170528 172280 173375 174050 177536 179360 180500 184832 186880 188800 194560 202502 210824 212990 213160 215350 221920 222784 224200 231040 233600 236000 241664 243200 254113 256000 263530 264556 266450 275648 277400 278480 280250 286976 288800 292000 299008 302080 304000 314411 327332 330695 340784 341056 344560 346750 348100 355072 358720 361000 369664 373760 377600 389120 405004 409165 421648 425980 426320 430700 435125 443840 445568 448400 462080 467200 472000 486400 506255 508226 512000 527060 529112 532475 532900 538375 551296 554800 556960 560500 573952 577600 584000 604160 608000 628822 654664 658825 661390 666125 681568 682112 689120 693500 696200 710144 717440 722000 739328 747520 755200 810008 818330 843296 851960 852640 861400 870250 887680 891136 896800 924160 934400 944000 972800 1012510 1016452 1054120 1058224 1064950 1065800 1076750 1102592 1109600 1113920 1121000 1147904 1155200 1168000 1208320 1216000 1256641 1257644 1270565 1309328 1317650 1322780 1332250 1363136 1364224 1378240 1387000 1392400 1420288 1434880 1444000 1478656 1495040 1510400 1554827 1572055 1620016 1636660 1653475 1686592 1703920 1705280 1722800 1740500 1775360 1782272 1793600 1848320 1868800 1888000 1923769 1945600 2025020 2032904 2045825 2108240 2116448 2129900 2131600 2153500 2205184 2219200 2227840 2242000 2295808 2310400 2336000 2432000 2513282 2515288 2531275 2541130 2618656 2635300 2645560 2662375 2664500 2726272 2728448 2756480 2774000 2784800 2840576 2869760 2888000 3020800 3109654 3144110 3240032 3273320 3294125 3306950 3373184 3407840 3410560 3445600 3481000 3550720 3564544 3587200 3696640 3737600 3776000 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33483199445 33863168000 35245473100 36320758720 36693917200 37100498000 37990909952 38232377600 38625176000 39398789120 39803571200 40212512000 40244608000 41898496000 44056841375 45114205568 45400948400 45867396500 46968214016 47488637440 47790472000 49248486400 49440225280 49754464000 51840512000 53573119112 56392756960 56751185500 58113213952 58710267520 59360796800 61171804160 61560608000 61800281600 64340019200 65052928000 66966398890 70490946200 72641517440 73387834400 74200996000 75981819904 76464755200 77250352000 79607142400 80425024000 80489216000 88113682750 90228411136 90801896800 91734793000 93936428032 94977274880 95580944000 98496972800 98880450560 99508928000 107146238224 112785513920 113502371000 116226427904 117420535040 118721593600 122343608320 123121216000 123600563200 128680038400 130105856000 133932797780 140981892400 145283034880 146775668800 148401992000 152929510400 154500704000 159214284800 160850048000 160978432000 167415997225 176227365500 180456822272 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1714339811584 1804568222720 1816037936000 1878728560640 1899545497600 2142924764480 2255710278400 2324528558080 2348410700800 2374431872000 2472011264000 2678655955600 2819637848000 2905660697600 2935513376000 3058590208000 3348319944500 3428679623168 3609136445440 3632075872000 4285849528960 4511420556800 4696821401600 4748863744000 5357311911200 5639275696000 5811321395200 5871026752000 6696639889000 6857359246336 7218272890880 7264151744000 8571699057920 9022841113600 9393642803200 9497727488000 10714623822400 11278551392000 11622642790400 11742053504000 13393279778000 13714718492672 14528303488000 17143398115840 18045682227200 21429247644800 22557102784000 23484107008000 26786559556000 27429436985344 29056606976000 34286796231680 36091364454400 42858495289600 45114205568000 46968214016000 53573119112000 58113213952000 68573592463360 85716990579200 90228411136000 107146238224000 137147184926720 171433981158400 180456822272000 214292476448000 342867962316800 428584952896000 685735924633600 857169905792000 1714339811584000 3428679623168000
- Sum of all divisors σ(n): 9314239357758348
- Sum of proper divisors (its aliquot sum) s(n): 5885559734590348
- 3428679623168000 is an abundant number, because the sum of its proper divisors (5885559734590348) is greater than itself. Its abundance is 2456880111422348
Bases of 3428679623168000
- Binary: 11000010111001011101101011101111110011010000000000002
- Hexadecimal: 0xC2E5DAEFCD000
- Base-36: XRD5O9QZNK
Squares and roots of 3428679623168000
- 3428679623168000 squared (34286796231680002) is 11755843958327458482356224000000
- 3428679623168000 cubed (34286796231680003) is 40307022633059999844832303281059397632000000000
-
The
square root of 3428679623168000 is 58554928.2568768929 -
The
cube root of 3428679623168000 is 150791.0743515761
Scales and comparisons
How big is 3428679623168000?- 3,428,679,623,168,000 seconds is equal to 109,021,406 years, 21 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 3,428,679,623,168,000 would take you about three hundred twenty-seven million, sixty-four thousand, two hundred nineteen 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 3428679623168000 cubic inches would be around 12565.9 feet tall.
Recreational maths with 3428679623168000
- 3428679623168000 backwards is 0008613269768243
- The number of decimal digits it has is: 16
- The sum of 3428679623168000's digits is 65
- More coming soon!
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"Number 3428679623168000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 3428679623168000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/3428679623168000/
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The information we have on file for 3428679623168000 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!
Keywords: Divisors of 3428679623168000, math, Factors of 3428679623168000, curriculum, school, college, exams, university, Prime factorization of 3428679623168000, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, four hundred twenty-eight trillion, six hundred seventy-nine billion, six hundred twenty-three million, one hundred sixty-eight thousand.