135384583680
135,384,583,680 is an even composite number composed of six prime numbers multiplied together.
135384583680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135384583680:
29 × 33 × 5 × 17 × 292 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 29 × 29 × 137)See below for interesting mathematical facts about the number 135384583680 from the Numbermatics database.
Names of 135384583680
- Cardinal: 135384583680 can be written as One hundred thirty-five billion, three hundred eighty-four million, five hundred eighty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3538458368 × 1011
Factors of 135384583680
Divisors of 135384583680
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 29 30 32 34 36 40 45 48 51 54 58 60 64 68 72 80 85 87 90 96 102 108 116 120 128 135 136 137 144 145 153 160 170 174 180 192 204 216 232 240 255 256 261 270 272 274 288 290 306 320 340 348 360 384 408 411 432 435 459 464 480 493 510 512 522 540 544 548 576 580 612 640 680 685 696 720 765 768 783 816 822 841 864 870 918 928 960 986 1020 1044 1080 1088 1096 1152 1160 1224 1233 1280 1305 1360 1370 1392 1440 1479 1530 1536 1566 1632 1644 1682 1728 1740 1836 1856 1920 1972 2040 2055 2088 2160 2176 2192 2295 2304 2320 2329 2448 2465 2466 2523 2560 2610 2720 2740 2784 2880 2958 3060 3132 3264 3288 3364 3456 3480 3672 3699 3712 3840 3915 3944 3973 4080 4110 4176 4205 4320 4352 4384 4437 4590 4608 4640 4658 4896 4930 4932 5046 5220 5440 5480 5568 5760 5916 6120 6165 6264 6528 6576 6728 6912 6960 6987 7344 7395 7398 7424 7569 7680 7830 7888 7946 8160 8220 8352 8410 8640 8704 8768 8874 9180 9280 9316 9792 9860 9864 10092 10440 10880 10960 11136 11520 11645 11832 11919 12240 12330 12528 12615 13056 13152 13311 13456 13824 13920 13974 14297 14688 14790 14796 14848 15138 15660 15776 15892 16320 16440 16704 16820 17280 17536 17748 18360 18495 18560 18632 19584 19720 19728 19865 20184 20880 20961 21760 21920 22185 22272 22707 23040 23290 23664 23838 24480 24660 25056 25230 26112 26304 26622 26912 27840 27948 28594 29376 29580 29592 30276 31320 31552 31784 32640 32880 33408 33640 34560 34935 35072 35496 35757 36720 36990 37120 37264 37845 39168 39440 39456 39730 40368 41760 41922 42891 43520 43840 44370 44544 45414 46580 47328 47676 48960 49320 50112 50460 52608 53244 53824 55680 55896 57188 58752 59160 59184 59595 60552 62640 62883 63104 63568 65280 65760 66555 66816 67280 67541 69120 69870 70144 70992 71485 71514 73440 73980 74240 74528 75690 78336 78880 78912 79460 80736 83520 83844 85782 87680 88740 90828 93160 94656 95352 97920 98640 100224 100920 104805 105216 106488 107271 107648 111360 111792 113535 114376 115217 117504 118320 118368 119190 121104 125280 125766 126208 127136 128673 130560 131520 133110 133632 134560 135082 139740 141984 142970 143028 146880 147960 149056 151380 157760 157824 158920 161472 167040 167688 171564 175360 177480 178785 181656 186320 189312 190704 195840 197280 200448 201840 202623 209610 210432 212976 214455 214542 215296 222720 223584 227070 228752 230434 235008 236640 236736 238380 242208 250560 251532 252416 254272 257346 263040 266220 269120 270164 279480 283968 285940 286056 293760 295920 298112 302760 314415 315520 315648 317840 322944 334080 335376 337705 343128 345651 350720 354960 357570 363312 372640 378624 381408 386019 391680 394560 400896 403680 405246 419220 425952 428910 429084 430592 447168 454140 457504 460868 473280 473472 476760 484416 501120 503064 508544 514692 526080 532440 536355 538240 540328 558960 567936 571880 572112 576085 587520 591840 596224 605520 607869 628830 631040 631296 635680 643365 645888 668160 670752 675410 686256 691302 709920 715140 726624 745280 757248 762816 772038 789120 807360 810492 838440 851904 857820 858168 894336 908280 915008 921736 946560 946944 953520 968832 1002240 1006128 1013115 1017088 1029384 1036953 1052160 1064880 1072710 1076480 1080656 1117920 1135872 1143760 1144224 1152170 1175040 1183680 1192448 1211040 1215738 1257660 1262080 1271360 1286730 1291776 1341504 1350820 1372512 1382604 1419840 1430280 1453248 1490560 1525632 1544076 1578240 1614720 1620984 1676880 1703808 1715640 1716336 1728255 1788672 1816560 1823607 1830016 1843472 1893120 1893888 1907040 1930095 1937664 1958689 2004480 2012256 2026230 2034176 2058768 2073906 2129760 2145420 2152960 2161312 2235840 2271744 2287520 2288448 2304340 2367360 2422080 2431476 2515320 2542720 2573460 2683008 2701640 2745024 2765208 2839680 2860560 2906496 2981120 3039345 3051264 3088152 3110859 3156480 3229440 3241968 3353760 3407616 3431280 3432672 3456510 3577344 3633120 3647214 3660032 3686944 3786240 3814080 3860190 3875328 3917378 4024512 4052460 4117536 4147812 4259520 4290840 4322624 4471680 4575040 4576896 4608680 4734720 4844160 4862952 5030640 5085440 5146920 5184765 5366016 5403280 5490048 5530416 5679360 5721120 5812992 5876067 5962240 6078690 6102528 6176304 6221718 6458880 6483936 6707520 6815232 6862560 6865344 6913020 7266240 7294428 7320064 7373888 7628160 7720380 7834756 8049024 8104920 8235072 8295624 8519040 8581680 8645248 8943360 9118035 9150080 9153792 9217360 9469440 9688320 9725904 9793445 10061280 10170880 10293840 10369530 10732032 10806560 10980096 11060832 11358720 11442240 11625984 11752134 12157380 12352608 12443436 12967872 13415040 13725120 13730688 13826040 14532480 14588856 14747776 15256320 15440760 15554295 15669512 16098048 16209840 16470144 16591248 17038080 17163360 17290496 17628201 17886720 18236070 18300160 18307584 18434720 19376640 19451808 19586890 20122560 20587680 20739060 21613120 21960192 22121664 22884480 23504268 24314760 24705216 24886872 25935744 26830080 27450240 27461376 27652080 29064960 29177712 29380335 29495552 30512640 30881520 31108590 31339024 32196096 32419680 32940288 33182496 34076160 34326720 34580992 35256402 36472140 36600320 36869440 38903616 39173780 40245120 41175360 41478120 43226240 44243328 45768960 47008536 48629520 49410432 49773744 51871488 52884603 53660160 54900480 54922752 55304160 58129920 58355424 58760670 58991104 61763040 62217180 62678048 64839360 65880576 66364992 68653440 70512804 72944280 73738880 77807232 78347560 80490240 82350720 82956240 86452480 88141005 88486656 91537920 94017072 97259040 98820864 99547488 103742976 105769206 109800960 110608320 116710848 117521340 123526080 124434360 125356096 129678720 132729984 137306880 141025608 145888560 147477760 155614464 156695120 160980480 164701440 165912480 172904960 176282010 176973312 188034144 194518080 197641728 199094976 211538412 221216640 233421696 235042680 247052160 248868720 250712192 259357440 264423015 265459968 274613760 282051216 291777120 294955520 311228928 313390240 329402880 331824960 352564020 376068288 389036160 398189952 423076824 442433280 466843392 470085360 494104320 497737440 501424384 518714880 528846030 530919936 564102432 583554240 626780480 663649920 705128040 752136576 778072320 796379904 846153648 884866560 933686784 940170720 988208640 995474880 1002848768 1057692060 1128204864 1167108480 1253560960 1327299840 1410256080 1504273152 1556144640 1592759808 1692307296 1880341440 1990949760 2115384120 2256409728 2334216960 2507121920 2654599680 2820512160 3008546304 3384614592 3760682880 3981899520 4230768240 4512819456 4668433920 5014243840 5641024320 6769229184 7521365760 7963799040 8461536480 9025638912 11282048640 13538458368 15042731520 16923072960 22564097280 27076916736 33846145920 45128194560 67692291840 135384583680
- Sum of all divisors σ(n): 531198233280
- Sum of proper divisors (its aliquot sum) s(n): 395813649600
- 135384583680 is an abundant number, because the sum of its proper divisors (395813649600) is greater than itself. Its abundance is 260429065920
Bases of 135384583680
- Binary: 11111100001011000110011001110000000002
- Hexadecimal: 0x1F858CCE00
- Base-36: 1Q70HHC0
Squares and roots of 135384583680
- 135384583680 squared (1353845836802) is 18328985498206922342400
- 135384583680 cubed (1353845836803) is 2481462070951501567819914412032000
-
The
square root of 135384583680 is 367946.4413199291 -
The
cube root of 135384583680 is 5134.7945463369
Scales and comparisons
How big is 135384583680?- 135,384,583,680 seconds is equal to 4,304 years, 42 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 135,384,583,680 would take you about eight 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 135384583680 cubic inches would be around 427.9 feet tall.
Recreational maths with 135384583680
- 135384583680 backwards is 086385483531
- 135384583680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135384583680's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135384583680 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 135384583680 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/135384583680/
Chicago style:
Numbermatics. 2024. "Number 135384583680 - Facts about the integer". https://numbermatics.com/n/135384583680/
The information we have on file for 135384583680 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 135384583680, math, Factors of 135384583680, curriculum, school, college, exams, university, Prime factorization of 135384583680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, three hundred eighty-four million, five hundred eighty-three thousand, six hundred eighty.