135420300021825
135,420,300,021,825 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 135420300021825 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1512 divisors.
135420300021825 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 135420300021825:
36 × 52 × 7 × 132 × 192 × 127 × 137
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 19 × 19 × 127 × 137)See below for interesting mathematical facts about the number 135420300021825 from the Numbermatics database.
Names of 135420300021825
- Cardinal: 135420300021825 can be written as One hundred thirty-five trillion, four hundred twenty billion, three hundred million, twenty-one thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.35420300021825 × 1014
Factors of 135420300021825
Divisors of 135420300021825
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 3 5 7 9 13 15 19 21 25 27 35 39 45 57 63 65 75 81 91 95 105 117 127 133 135 137 169 171 175 189 195 225 243 247 273 285 315 325 351 361 381 399 405 411 455 475 507 513 525 567 585 635 665 675 685 729 741 819 845 855 889 945 959 975 1053 1083 1143 1183 1197 1215 1233 1235 1365 1425 1521 1539 1575 1651 1701 1729 1755 1781 1805 1905 1995 2025 2055 2223 2275 2413 2457 2527 2535 2565 2603 2667 2835 2877 2925 3159 3175 3211 3249 3325 3425 3429 3549 3591 3645 3699 3705 4095 4225 4275 4445 4563 4617 4693 4725 4795 4953 5103 5187 5265 5343 5415 5715 5915 5985 6075 6165 6175 6669 6825 7239 7371 7581 7605 7695 7809 8001 8255 8505 8631 8645 8775 8905 9025 9477 9525 9633 9747 9975 10275 10287 10647 10773 11097 11115 11557 12065 12285 12467 12635 12675 12825 13015 13335 13689 13851 14079 14175 14385 14859 15561 15795 16029 16055 16245 16891 17145 17399 17745 17955 18221 18225 18495 18525 20007 20475 21463 21717 22113 22225 22477 22743 22815 23085 23153 23427 23465 23975 24003 24765 25515 25893 25935 26325 26715 27075 28575 28899 29241 29575 29925 30825 30861 31369 31941 32319 32851 33291 33345 33839 34671 36195 36855 37401 37905 38025 38475 39045 40005 41067 41275 42237 42525 43155 43225 44525 44577 45847 46683 47385 48087 48165 48735 49457 50673 51435 52197 53235 53865 54663 55485 55575 57785 60021 60325 61009 61425 62335 63175 64389 65075 65151 66339 66675 67431 68229 68445 69255 69459 70281 70395 71925 72009 74295 77679 77805 78975 80145 80275 81225 84455 85725 86697 86995 87723 88725 89775 91105 92475 92583 94107 95823 96957 98553 99873 100035 101517 104013 107315 108585 110565 112203 112385 113715 114075 115425 115765 117135 117325 120015 121793 123201 123825 126711 127575 129465 129675 133575 133731 137541 140049 144261 144495 146205 148371 150241 152019 154305 156591 156845 159705 161595 162071 163989 164255 166455 166725 169195 173355 180063 180975 183027 184275 187005 189525 193167 195225 195453 200025 202293 204687 205335 208377 210843 211185 215775 216027 219583 222885 226187 229235 233037 233415 236873 236925 240435 240825 243675 247285 253365 257175 260091 260985 263169 266175 269325 273315 277425 282321 287469 288925 295659 300105 304551 305045 311675 312039 320929 321945 325755 330581 331695 336609 337155 341145 342225 346199 346275 347295 351405 351975 360045 365379 371475 380133 388395 389025 400725 401193 407797 412623 420147 422275 427063 432783 433485 434975 438615 439907 445113 450723 455525 456057 462915 469773 470535 479115 484785 486213 491967 492765 499365 500175 507585 520065 536575 542925 549081 552825 561015 561925 568575 578825 579501 585675 586359 596011 600075 606879 608965 614061 616005 625131 632529 633555 642941 647325 648081 658749 668655 678561 687705 699111 700245 710619 721305 722475 731025 741855 751205 760095 771525 780273 782955 784225 798525 807975 810355 819945 821275 832275 845975 846963 862407 866775 886977 900315 913653 915135 935025 936117 962787 965835 977265 991743 1009827 1011465 1023435 1026675 1038597 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838022835 847940265 863402085 864802575 877614465 890811675 901353825 912714075 926235765 937197135 938717325 966949425 984581325 1012632075 1013814711 1044305379 1045999305 1061495591 1068733575 1093642641 1099181825 1111889025 1128361455 1154232261 1156104495 1169786205 1173231969 1187116371 1190874555 1204967745 1206922275 1224802605 1247136345 1261895355 1301955525 1333966725 1353729195 1355925025 1374086025 1396704725 1413233775 1439003475 1462690775 1464399027 1486420065 1508441103 1526292477 1543726275 1556644635 1561995225 1579706037 1603461015 1667224377 1686954843 1689691185 1714723647 1740508965 1743332175 1822737735 1880602425 1882798749 1923720435 1926840825 1949643675 1955386615 1978527285 1984790925 2008279575 2031050619 2041337675 2078560575 2080988091 2103158925 2143574199 2172460095 2204644689 2219677425 2244845421 2256215325 2343519945 2436712551 2440665045 2477366775 2514068505 2543820795 2594407725 2632843395 2672435025 2738142225 2778707295 2811591405 2816151975 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109652064795 109829927025 111457037055 113133082725 114471935775 118477952775 125041828275 128604273525 138892615407 141209906175 143301904785 152328796425 158386315815 160260710085 165348351675 182753441325 185761728425 197693868645 200622666699 203639548905 213260314995 231487692345 238836507975 257943428613 263977193025 267101183475 285095368467 297627033015 329489781075 334371111165 339399248175 355433858325 375125484825 385812820575 416677846221 429905714355 475158947445 496045055025 548260323975 557285185275 601868000097 694463077035 716509523925 773830285839 791931579075 801303550425 988469343225 1003113333495 1018197744525 1066301574975 1157438461725 1289717143065 1425476842335 1488135165075 1671855555825 1805604000291 2083389231105 2149528571775 2375794737225 3009340000485 3472315385175 3869151429195 5015566667475 5416812000873 6448585715325 7127384211675 9028020001455 10416946155525 15046700002425 19345757145975 27084060004365 45140100007275 135420300021825
- Sum of all divisors σ(n): 333838918084608
- Sum of proper divisors (its aliquot sum) s(n): 198418618062783
- 135420300021825 is an abundant number, because the sum of its proper divisors (198418618062783) is greater than itself. Its abundance is 62998318040958
Bases of 135420300021825
- Binary: 111101100101001111111101110000011010000010000012
- Hexadecimal: 0x7B29FEE0D041
- Base-36: 1C03866N29
Squares and roots of 135420300021825
- 135420300021825 squared (1354203000218252) is 18338657658001096095476330625
- 135420300021825 cubed (1354203000218253) is 2483426522044047036964107258420458415890625
-
The
square root of 135420300021825 is 11637022.8160739207 -
The
cube root of 135420300021825 is 51352.4605011247
Scales and comparisons
How big is 135420300021825?- 135,420,300,021,825 seconds is equal to 4,305,946 years, 34 weeks, 1 day, 14 hours, 3 minutes, 45 seconds.
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To count from 1 to 135,420,300,021,825 would take you about ten million, seven hundred sixty-four thousand, eight hundred sixty-six 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 135420300021825 cubic inches would be around 4279.4 feet tall.
Recreational maths with 135420300021825
- 135420300021825 backwards is 528120003024531
- The number of decimal digits it has is: 15
- The sum of 135420300021825's digits is 36
- More coming soon!
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"Number 135420300021825 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 135420300021825 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/135420300021825/
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Numbermatics. 2024. "Number 135420300021825 - Facts about the integer". https://numbermatics.com/n/135420300021825/
The information we have on file for 135420300021825 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 135420300021825, math, Factors of 135420300021825, curriculum, school, college, exams, university, Prime factorization of 135420300021825, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, four hundred twenty billion, three hundred million, twenty-one thousand, eight hundred twenty-five.