13980161307648000
13,980,161,307,648,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13980161307648000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
13980161307648000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13980161307648000:
213 × 3 × 53 × 312 × 37 × 131 × 977
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 37 × 131 × 977)See below for interesting mathematical facts about the number 13980161307648000 from the Numbermatics database.
Names of 13980161307648000
- Cardinal: 13980161307648000 can be written as Thirteen quadrillion, nine hundred eighty trillion, one hundred sixty-one billion, three hundred seven million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3980161307648 × 1016
Factors of 13980161307648000
Divisors of 13980161307648000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 37 40 48 50 60 62 64 74 75 80 93 96 100 111 120 124 125 128 131 148 150 155 160 185 186 192 200 222 240 248 250 256 262 296 300 310 320 370 372 375 384 393 400 444 465 480 496 500 512 524 555 592 600 620 640 655 740 744 750 768 775 786 800 888 925 930 960 961 977 992 1000 1024 1048 1110 1147 1184 1200 1240 1280 1310 1480 1488 1500 1536 1550 1572 1600 1776 1850 1860 1920 1922 1954 1965 1984 2000 2048 2096 2220 2294 2325 2368 2400 2480 2560 2620 2775 2883 2931 2960 2976 3000 3072 3100 3144 3200 3275 3441 3552 3700 3720 3840 3844 3875 3908 3930 3968 4000 4061 4096 4192 4440 4588 4625 4650 4736 4800 4805 4847 4885 4960 5120 5240 5550 5735 5766 5862 5920 5952 6000 6144 6200 6288 6400 6550 6882 7104 7400 7440 7680 7688 7750 7816 7860 7936 8000 8122 8192 8384 8880 9176 9250 9300 9472 9600 9610 9694 9770 9825 9920 10240 10480 11100 11470 11532 11625 11724 11840 11904 12000 12183 12288 12400 12576 12800 13100 13764 13875 14208 14415 14541 14655 14800 14880 15360 15376 15500 15632 15720 15872 16000 16244 16375 16768 17205 17760 18352 18500 18600 18944 19200 19220 19388 19540 19650 19840 20305 20480 20960 22200 22940 23064 23250 23448 23680 23808 24000 24025 24235 24366 24425 24576 24800 25152 25600 26200 27528 27750 28416 28675 28830 29082 29310 29600 29760 30287 30720 30752 31000 31264 31440 31744 32000 32488 32750 33536 34410 35520 35557 36149 36704 37000 37200 37888 38400 38440 38776 39080 39300 39680 40610 40960 41920 44400 45880 46128 46500 46896 47360 47616 48000 48050 48470 48732 48850 49125 49600 50304 51200 52400 55056 55500 56832 57350 57660 58164 58620 59200 59520 60574 60915 61440 61504 62000 62528 62880 63488 64000 64976 65500 67072 68820 71040 71114 72075 72298 72705 73275 73408 74000 74400 75776 76800 76880 77552 78160 78600 79360 81220 83840 86025 88800 90861 91760 92256 93000 93792 94720 95232 96000 96100 96940 97464 97700 98250 99200 100608 101525 102400 104800 106671 108447 110112 111000 113664 114700 115320 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546100051080 555827024000 563716181760 568854219875 572370984960 573756928000 576858316800 581900574720 582506721152 587204356000 590378433600 596219776000 601297260544 606146432000 609422899200 629736995840 666992428800 682625063850 688508313600 704645227200 711458590720 715463731200 721072896000 727375718400 728133401440 737973042000 751621575680 755684395008 761778624000 787171244800 812563865600 833740536000 853750308864 860635392000 873760081728 880806534000 889323238400 894329664000 901945890816 909219648000 910166751800 939526969600 944605493760 953951641600 961430528000 969834291200 983964056000 1007579193344 1015704832000 1067187886080 1092200102160 1111654048000 1127432363520 1137708439750 1147513856000 1165013442304 1174408712000 1180756867200 1192439552000 1202594521088 1212292864000 1218845798400 1259473991680 1333984857600 1365250127700 1409290454400 1422917181440 1430927462400 1442145792000 1454751436800 1456266802880 1475946084000 1503243151360 1511368790016 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6094228992000 6297369958400 6669924288000 6826250638500 6990080653824 7046452272000 7114585907200 7154637312000 7273757184000 7281334014400 7516215756800 7556843950080 7871712448000 8737600817280 8893232384000 9019458908160 9101667518000 9320107538432 9395269696000 9446054937600 10671878860800 10922001021600 11274323635200 11650134423040 11807568672000 12188457984000 12594739916800 13339848576000 13652501277000 13980161307648 14092904544000 14309274624000 14547514368000 14562668028800 15032431513600 15113687900160 15743424896000 17475201634560 17786464768000 18038917816320 18203335036000 18640215076864 18790539392000 18892109875200 21343757721600 21844002043200 22548647270400 23300268846080 23615137344000 25189479833600 26679697152000 27305002554000 27960322615296 28185809088000 29125336057600 30064863027200 31486849792000 34950403269120 35572929536000 36406670072000 37280430153728 37581078784000 37784219750400 43688004086400 45097294540800 46600537692160 47230274688000 53359394304000 54610005108000 55920645230592 56371618176000 58250672115200 62973699584000 69900806538240 72813340144000 75162157568000 75568439500800 87376008172800 90194589081600 93201075384320 94460549376000 106718788608000 109220010216000 111841290461184 112743236352000 116501344230400 125947399168000 139801613076480 145626680288000 150324315136000 174752016345600 186402150768640 188921098752000 218440020432000 225486472704000 233002688460800 279603226152960 291253360576000 349504032691200 377842197504000 436880040864000 450972945408000 466005376921600 559206452305920 582506721152000 699008065382400 873760081728000 932010753843200 1165013442304000 1398016130764800 1747520163456000 2330026884608000 2796032261529600 3495040326912000 4660053769216000 6990080653824000 13980161307648000
- Sum of all divisors σ(n): 49799347457004288
- Sum of proper divisors (its aliquot sum) s(n): 35819186149356288
- 13980161307648000 is an abundant number, because the sum of its proper divisors (35819186149356288) is greater than itself. Its abundance is 21839024841708288
Bases of 13980161307648000
- Binary: 1100011010101011100001111101001010010100100000000000002
- Hexadecimal: 0x31AAE1F4A52000
- Base-36: 3TNJXFXI6TC
Squares and roots of 13980161307648000
- 13980161307648000 squared (139801613076480002) is 195444910187858237303291904000000
- 13980161307648000 cubed (139801613076480003) is 2732351371185034132150437637799691681792000000000
-
The
square root of 13980161307648000 is 118237732.1655316595 -
The
cube root of 13980161307648000 is 240900.3295754563
Scales and comparisons
How big is 13980161307648000?- 13,980,161,307,648,000 seconds is equal to 444,525,886 years, 5 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 13,980,161,307,648,000 would take you about one billion, three hundred thirty-three million, five hundred seventy-seven thousand, six hundred fifty-eight 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 13980161307648000 cubic inches would be around 20075 feet tall.
Recreational maths with 13980161307648000
- 13980161307648000 backwards is 00084670316108931
- The number of decimal digits it has is: 17
- The sum of 13980161307648000's digits is 57
- More coming soon!
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"Number 13980161307648000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13980161307648000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13980161307648000/
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The information we have on file for 13980161307648000 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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