13392441157222400
13,392,441,157,222,400 is an even composite number composed of six prime numbers multiplied together.
13392441157222400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 13392441157222400:
217 × 52 × 72 × 13 × 172 × 1492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 17 × 17 × 149 × 149)See below for interesting mathematical facts about the number 13392441157222400 from the Numbermatics database.
Names of 13392441157222400
- Cardinal: 13392441157222400 can be written as Thirteen quadrillion, three hundred ninety-two trillion, four hundred forty-one billion, one hundred fifty-seven million, two hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.33924411572224 × 1016
Factors of 13392441157222400
Divisors of 13392441157222400
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 128 130 136 140 149 160 170 175 182 196 200 208 221 224 238 245 256 260 272 280 289 298 320 325 340 350 364 392 400 416 425 442 448 455 476 490 512 520 544 560 578 595 596 637 640 650 680 700 728 745 784 800 832 833 850 884 896 910 952 980 1024 1040 1043 1088 1105 1120 1156 1190 1192 1225 1274 1280 1300 1360 1400 1445 1456 1490 1547 1568 1600 1664 1666 1700 1768 1792 1820 1904 1937 1960 2023 2048 2080 2086 2176 2210 2240 2275 2312 2380 2384 2450 2533 2548 2560 2600 2720 2800 2890 2912 2975 2980 3094 3136 3185 3200 3328 3332 3400 3536 3584 3640 3725 3757 3808 3874 3920 4046 4096 4160 4165 4172 4352 4420 4480 4550 4624 4760 4768 4900 5066 5096 5120 5200 5215 5440 5525 5600 5780 5824 5950 5960 6188 6272 6370 6400 6656 6664 6800 7072 7168 7225 7280 7301 7450 7514 7616 7735 7748 7840 8092 8192 8320 8330 8344 8704 8840 8960 9100 9248 9520 9536 9685 9800 10115 10132 10192 10240 10400 10430 10829 10880 11050 11200 11560 11648 11900 11920 12376 12544 12665 12740 12800 13312 13328 13559 13600 14144 14161 14336 14450 14560 14602 14900 15028 15232 15470 15496 15680 15925 16184 16384 16640 16660 16688 17408 17680 17731 17920 18200 18496 18785 19040 19072 19370 19600 20230 20264 20384 20480 20800 20825 20860 21658 21760 22100 22201 22400 23120 23296 23800 23840 24752 25088 25330 25480 25600 26075 26299 26624 26656 27118 27200 28288 28322 28672 28900 29120 29204 29800 30056 30464 30940 30992 31360 31850 32368 32768 32929 33280 33320 33376 34816 35360 35462 35840 36400 36505 36992 37570 38080 38144 38675 38740 39200 40460 40528 40768 40960 41600 41650 41720 43061 43316 43520 44200 44402 44800 46240 46592 47600 47680 48425 49504 50176 50575 50660 50960 51200 52150 52598 53248 53312 54145 54236 54400 56576 56644 57344 57800 58240 58408 59600 60112 60928 61880 61984 62720 63325 63700 64736 65536 65858 66560 66640 66752 67795 69632 70720 70805 70924 71680 72800 73010 73984 75140 76160 76288 77350 77480 78400 80920 81056 81536 81920 83200 83300 83440 86122 86632 87040 88400 88655 88804 89600 92480 93184 93925 94913 95200 95360 96850 99008 100352 101150 101320 101920 102400 104300 105196 106496 106624 108290 108472 108800 111005 113152 113288 114688 115600 116480 116816 119200 120224 121856 123760 123968 124117 125440 126650 127400 129472 131072 131495 131716 133120 133280 133504 135590 139264 141440 141610 141848 143360 145600 146020 147968 150280 152320 152576 154700 154960 155407 156800 161840 162112 163072 163840 164645 166400 166600 166880 172244 173264 174080 176800 177310 177608 179200 182525 184093 184960 186368 187850 189826 190400 190720 193700 198016 200704 202300 202640 203840 204800 208600 210392 212992 213248 215305 216580 216944 217600 222010 226304 226576 229376 230503 231200 232960 233632 238400 240448 243712 247520 247936 248234 250880 253300 254800 258944 262990 263432 266240 266560 267008 270725 271180 278528 282880 283220 283696 286720 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266909302400 270532505600 276560478208 280881735680 281353805824 287440787200 289628917760 298938418688 301617971200 302996406272 307730725120 309180006400 311010918400 321007697920 321547206656 321933681664 326963895440 328503756800 330449100800 331004477440 341643907072 345700597760 346281607168 351102169600 351692257280 356466360320 362036147200 366865940480 367924207616 373673023360 377656115200 378745507840 384663406400 401259622400 401934008320 402417102080 406706585600 408704869300 413755596800 420484808704 427054883840 432125747200 432852008960 439615321600 445582950400 449410777088 458582425600 459905259520 463406268416 467091279200 472863539200 473431884800 492369160192 493857996800 502417510400 503021377600 509237657600 513612316672 523142232704 525606010880 528718561280 533818604800 541065011200 561763471360 562707611648 574881574400 579257835520 597876837376 603235942400 605992812544 615461450240 618360012800 642015395840 643094413312 643867363328 653927790880 657007513600 660898201600 662008954880 683287814144 691401195520 702204339200 703384514560 712932720640 724072294400 735848415232 747346046720 755312230400 757491015680 769326812800 802519244800 803868016640 804834204160 817409738600 827511193600 840969617408 854109767680 864251494400 865704017920 879230643200 891165900800 898821554176 917164851200 919810519040 926812536832 934182558400 945727078400 946863769600 984738320384 987715993600 1004835020800 1006042755200 1046284465408 1051212021760 1057437122560 1067637209600 1082130022400 1123526942720 1125415223296 1149763148800 1158515671040 1195753674752 1211985625088 1230922900480 1236720025600 1284030791680 1287734726656 1307855581760 1314015027200 1321796403200 1324017909760 1366575628288 1382802391040 1404408678400 1406769029120 1448144588800 1471696830464 1494692093440 1514982031360 1538653625600 1605038489600 1607736033280 1609668408320 1634819477200 1655022387200 1708219535360 1728502988800 1731408035840 1758461286400 1782331801600 1797643108352 1834329702400 1839621038080 1853625073664 1868365116800 1893727539200 1969476640768 2009670041600 2012085510400 2092568930816 2102424043520 2135274419200 2164260044800 2247053885440 2250830446592 2299526297600 2317031342080 2391507349504 2423971250176 2461845800960 2568061583360 2575469453312 2615711163520 2628030054400 2643592806400 2733151256576 2808817356800 2813538058240 2896289177600 2943393660928 2989384186880 3029964062720 3077307251200 3210076979200 3215472066560 3219336816640 3269638954400 3310044774400 3416439070720 3457005977600 3516922572800 3564663603200 3595286216704 3679242076160 3736730233600 3787455078400 3938953281536 4019340083200 4024171020800 4185137861632 4204848087040 4270548838400 4328520089600 4494107770880 4501660893184 4599052595200 4634062684160 4783014699008 4923691601920 5150938906624 5231422327040 5256060108800 5287185612800 5466302513152 5617634713600 5627076116480 5792578355200 5886787321856 5978768373760 6059928125440 6154614502400 6420153958400 6438673633280 6539277908800 6620089548800 6832878141440 6914011955200 7033845145600 7358484152320 7473460467200 7574910156800 7877906563072 8038680166400 8048342041600 8370275723264 8541097676800 8657040179200 8988215541760 9198105190400 9268125368320 9566029398016 9847383203840 10301877813248 10462844654080 10512120217600 10932605026304 11235269427200 11254152232960 11585156710400 11957536747520 12119856250880 12309229004800 12840307916800 12877347266560 13078555817600 13665756282880 14067690291200 14716968304640 14946920934400 15149820313600 15755813126144 16077360332800 16096684083200 16740551446528 17082195353600 17976431083520 18396210380800 19132058796032 19694766407680 20603755626496 20925689308160 21024240435200 22470538854400 22508304465920 23170313420800 23915073495040 24618458009600 25754694533120 26157111635200 27331512565760 28135380582400 29433936609280 29893841868800 30299640627200 31511626252288 32193368166400 33481102893056 34164390707200 36792420761600 38264117592064 39389532815360 41207511252992 41851378616320 44941077708800 46340626841600 47830146990080 49236916019200 51509389066240 52314223270400 54663025131520 56270761164800 59787683737600 60599281254400 64386736332800 66962205786112 68328781414400 73584841523200 76528235184128 78779065630720 83702757232640 89882155417600 95660293980160 98473832038400 103018778132480 104628446540800 112541522329600 119575367475200 128773472665600 133924411572224 136657562828800 147169683046400 157558131261440 167405514465280 191320587960320 196947664076800 206037556264960 209256893081600 239150734950400 257546945331200 267848823144448 273315125657600 334811028930560 382641175920640 393895328153600 418513786163200 478301469900800 515093890662400 535697646288896 669622057861120 787790656307200 837027572326400 956602939801600 1030187781324800 1339244115722240 1674055144652800 1913205879603200 2678488231444480 3348110289305600 6696220578611200 13392441157222400
- Sum of all divisors σ(n): 44497763601179238
- Sum of proper divisors (its aliquot sum) s(n): 31105322443956838
- 13392441157222400 is an abundant number, because the sum of its proper divisors (31105322443956838) is greater than itself. Its abundance is 17712881286734438
Bases of 13392441157222400
- Binary: 1011111001010001011010101100011101101000000000000000002
- Hexadecimal: 0x2F945AB1DA0000
- Base-36: 3NV82J6FCOW
Squares and roots of 13392441157222400
- 13392441157222400 squared (133924411572224002) is 179357480149664456475683061760000
- 13392441157222400 cubed (133924411572224003) is 2402034499012065890230258381122588769255424000000
-
The
square root of 13392441157222400 is 115725715.1942574949 -
The
cube root of 13392441157222400 is 237476.1041574323
Scales and comparisons
How big is 13392441157222400?- 13,392,441,157,222,400 seconds is equal to 425,838,203 years, 13 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,392,441,157,222,400 would take you about one billion, two hundred seventy-seven million, five hundred fourteen thousand, six hundred nine 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 13392441157222400 cubic inches would be around 19789.7 feet tall.
Recreational maths with 13392441157222400
- 13392441157222400 backwards is 00422275114429331
- 13392441157222400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13392441157222400's digits is 50
- More coming soon!
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"Number 13392441157222400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 13392441157222400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13392441157222400/
Chicago style:
Numbermatics. 2024. "Number 13392441157222400 - Facts about the integer". https://numbermatics.com/n/13392441157222400/
The information we have on file for 13392441157222400 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 13392441157222400, math, Factors of 13392441157222400, curriculum, school, college, exams, university, Prime factorization of 13392441157222400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred ninety-two trillion, four hundred forty-one billion, one hundred fifty-seven million, two hundred twenty-two thousand, four hundred.