13028764735244800
13,028,764,735,244,800 is an even composite number composed of six prime numbers multiplied together.
13028764735244800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13028764735244800:
29 × 52 × 29 × 53 × 4733 × 139921
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 29 × 53 × 4733 × 139921)See below for interesting mathematical facts about the number 13028764735244800 from the Numbermatics database.
Names of 13028764735244800
- Cardinal: 13028764735244800 can be written as Thirteen quadrillion, twenty-eight trillion, seven hundred sixty-four billion, seven hundred thirty-five million, two hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30287647352448 × 1016
Factors of 13028764735244800
Divisors of 13028764735244800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 53 58 64 80 100 106 116 128 145 160 200 212 232 256 265 290 320 400 424 464 512 530 580 640 725 800 848 928 1060 1160 1280 1325 1450 1537 1600 1696 1856 2120 2320 2560 2650 2900 3074 3200 3392 3712 4240 4640 4733 5300 5800 6148 6400 6784 7424 7685 8480 9280 9466 10600 11600 12296 12800 13568 14848 15370 16960 18560 18932 21200 23200 23665 24592 27136 30740 33920 37120 37864 38425 42400 46400 47330 49184 61480 67840 74240 75728 76850 84800 92800 94660 98368 118325 122960 135680 137257 139921 151456 153700 169600 185600 189320 196736 236650 245920 250849 274514 279842 302912 307400 339200 371200 378640 393472 473300 491840 501698 549028 559684 605824 614800 678400 686285 699605 757280 786944 946600 983680 1003396 1098056 1119368 1211648 1229600 1254245 1372570 1399210 1514560 1893200 1967360 2006792 2196112 2238736 2423296 2459200 2508490 2745140 2798420 3029120 3431425 3498025 3786400 3934720 4013584 4057709 4392224 4477472 4918400 5016980 5490280 5596840 6058240 6271225 6862850 6996050 7274621 7415813 7572800 8027168 8115418 8784448 8954944 9836800 10033960 10980560 11193680 12116480 12542450 13725700 13992100 14549242 14831626 15145600 16054336 16230836 17568896 17909888 19673600 20067920 20288545 21961120 22387360 25084900 27451400 27984200 29098484 29663252 30291200 32108672 32461672 35137792 35819776 36373105 37079065 40135840 40577090 43922240 44774720 50169800 54902800 55968400 58196968 59326504 60582400 64217344 64923344 70275584 71639552 72746210 74158130 80271680 81154180 87844480 89549440 100339600 101442725 109805600 111936800 116393936 118653008 128434688 129846688 145492420 148316260 160543360 162308360 175688960 179098880 181865525 185395325 200679200 202885450 215058577 219611200 223873600 232787872 237306016 259693376 290984840 296632520 321086720 324616720 351377920 358197760 363731050 370790650 401358400 405770900 430117154 439222400 447747200 465575744 474612032 519386752 581969680 593265040 642173440 649233440 662246093 727462100 741581300 802716800 811541800 860234308 878444800 895494400 931151488 949224064 1038773504 1075292885 1163939360 1186530080 1298466880 1324492186 1454924200 1483162600 1605433600 1623083600 1720468616 1756889600 1790988800 1862302976 1898448128 2077547008 2150585770 2327878720 2373060160 2596933760 2648984372 2909848400 2966325200 3210867200 3246167200 3311230465 3440937232 3724605952 3796896256 4301171540 4655757440 4746120320 5193867520 5297968744 5376464425 5819696800 5932650400 6492334400 6622460930 6881874464 8602343080 9311514880 9492240640 10387735040 10595937488 10752928850 11639393600 11865300800 12984668800 13244921860 13763748928 16556152325 17204686160 18623029760 18984481280 19205136697 21191874976 21505857700 23278787200 23730601600 25969337600 26489843720 27527497856 33112304650 34409372320 35099042929 38410273394 42383749952 43011715400 46557574400 47461203200 51938675200 52979687440 55054995712 66224609300 68818744640 70198085858 76820546788 84767499904 86023430800 93115148800 94922406400 96025683485 105959374880 110109991424 132449218600 137637489280 140396171716 153641093576 169534999808 172046861600 175495214645 192051366970 211918749760 264898437200 275274978560 280792343432 307282187152 339069999616 344093723200 350990429290 384102733940 423837499520 480128417425 529796874400 550549957120 561584686864 614564374304 688187446400 701980858580 768205467880 847674999040 877476073225 960256834850 1017872244941 1059593748800 1123169373728 1229128748608 1376374892800 1403961717160 1536410935760 1695349998080 1754952146450 1920513669700 2035744489882 2119187497600 2246338747456 2458257497216 2752749785600 2807923434320 3072821871520 3509904292900 3841027339400 4071488979764 4238374995200 4492677494912 4916514994432 5089361224705 5615846868640 6145643743040 7019808585800 7682054678800 8142977959528 8476749990400 8985354989824 9833029988864 10178722449410 11231693737280 12291287486080 14039617171600 15364109357600 16285955919056 17970709979648 20357444898820 22463387474560 24582574972160 25446806123525 28079234343200 30728218715200 32571911838112 40714889797640 44926774949120 49165149944320 50893612247050 56158468686400 61456437430400 65143823676224 81429779595280 89853549898240 101787224494100 112316937372800 122912874860800 130287647352448 162859559190560 203574448988200 224633874745600 245825749721600 260575294704896 325719118381120 407148897976400 449267749491200 521150589409792 651438236762240 814297795952800 1302876473524480 1628595591905600 2605752947048960 3257191183811200 6514382367622400 13028764735244800
- Sum of all divisors σ(n): 34030364421944880
- Sum of proper divisors (its aliquot sum) s(n): 21001599686700080
- 13028764735244800 is an abundant number, because the sum of its proper divisors (21001599686700080) is greater than itself. Its abundance is 7972834951455280
Bases of 13028764735244800
- Binary: 1011100100100110010111101011011110100000001010000000002
- Hexadecimal: 0x2E4997ADE80A00
- Base-36: 3KAB7W2MLTS
Squares and roots of 13028764735244800
- 13028764735244800 squared (130287647352448002) is 169748710526358503439315927040000
- 13028764735244800 cubed (130287647352448003) is 2211616013559097441914388124384529473339392000000
-
The
square root of 13028764735244800 is 114143614.5180482709 -
The
cube root of 13028764735244800 is 235306.7654282895
Scales and comparisons
How big is 13028764735244800?- 13,028,764,735,244,800 seconds is equal to 414,274,417 years, 50 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,028,764,735,244,800 would take you about one billion, two hundred forty-two million, eight hundred twenty-three thousand, two hundred fifty-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 13028764735244800 cubic inches would be around 19608.9 feet tall.
Recreational maths with 13028764735244800
- 13028764735244800 backwards is 00844253746782031
- 13028764735244800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13028764735244800's digits is 64
- More coming soon!
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