513828705728
513,828,705,728 is an even composite number composed of seven prime numbers multiplied together.
513828705728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 513828705728:
26 × 13 × 17 × 29 × 79 × 101 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 29 × 79 × 101 × 157)See below for interesting mathematical facts about the number 513828705728 from the Numbermatics database.
Names of 513828705728
- Cardinal: 513828705728 can be written as Five hundred thirteen billion, eight hundred twenty-eight million, seven hundred five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 5.13828705728 × 1011
Factors of 513828705728
Divisors of 513828705728
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 79 101 104 116 136 157 158 202 208 221 232 272 314 316 377 404 416 442 464 493 544 628 632 754 808 832 884 928 986 1027 1088 1256 1264 1313 1343 1508 1616 1717 1768 1856 1972 2041 2054 2291 2512 2528 2626 2669 2686 2929 3016 3232 3434 3536 3944 4082 4108 4553 4582 5024 5056 5252 5338 5372 5858 6032 6409 6464 6868 7072 7888 7979 8164 8216 9106 9164 10048 10504 10676 10744 11716 12064 12403 12818 13736 14144 15776 15857 15958 16328 16432 17459 18212 18328 21008 21352 21488 22321 23432 24128 24806 25636 27472 29783 31552 31714 31916 32656 32864 34697 34918 36424 36656 38077 38947 42016 42704 42976 44642 46864 49612 49793 51272 54944 59189 59566 63428 63832 65312 65728 69394 69836 72848 73312 76154 77401 77894 84032 85408 85952 89284 93728 99224 99586 102544 103727 109888 118378 119132 126856 127664 130624 135643 138788 139672 145696 146624 152308 154802 155788 161239 170816 178568 187456 198448 199172 205088 206141 207454 210851 231391 236756 238264 253712 255328 269569 271286 277576 279344 291392 304616 309604 311576 322478 357136 359687 396896 398344 410176 412282 414908 421702 459853 462782 473512 476528 506311 507424 510656 539138 542572 555152 558688 609232 619208 623152 644956 647309 714272 719374 793792 796688 824564 829816 843404 919706 925564 947024 953056 1006213 1012622 1014848 1078276 1085144 1110304 1117376 1218464 1238416 1246304 1252703 1289912 1294618 1428544 1438748 1593376 1649128 1659632 1686808 1763359 1839412 1851128 1894048 1906112 2012426 2025244 2156552 2170288 2220608 2436928 2476832 2492608 2505406 2579824 2589236 2741063 2877496 3008083 3186752 3298256 3319264 3373616 3504397 3526718 3678824 3702256 3788096 3933647 4024852 4050488 4313104 4340576 4675931 4953664 5010812 5159648 5178472 5482126 5754992 5978089 6016166 6114679 6596512 6638528 6747232 7008794 7053436 7357648 7404512 7817501 7867294 8049704 8100976 8626208 8681152 9351862 10021624 10319296 10356944 10964252 11509984 11956178 12032332 12229358 13193024 13494464 14017588 14106872 14715296 14809024 15635002 15734588 16099408 16201952 16285139 17252416 18703724 20043248 20713888 21295951 21928504 23019968 23912356 24064664 24458716 28035176 28213744 29430592 31270004 31469176 32198816 32403904 32570278 36328387 37407448 40086496 41427776 42591902 43857008 47824712 48129328 48917432 51137411 56070352 56427488 62540008 62938352 64397632 65140556 72656774 74814896 79490827 80172992 85183804 87714016 95649424 96258656 97834864 101627513 102274822 112140704 112854976 125080016 125876704 130281112 145313548 149629792 158981654 170367608 175428032 191298848 192517312 195669728 203255026 204549644 224281408 250160032 251753408 260562224 276847363 290627096 299259584 317963308 340735216 382597696 391339456 406510052 409099288 472269031 500320064 521124448 553694726 581254192 617582579 635926616 681470432 813020104 818198576 944538062 1042248896 1107389452 1162508384 1235165158 1271853232 1362940864 1626040208 1636397152 1889076124 2214778904 2325016768 2470330316 2543706464 3252080416 3272794304 3778152248 4429557808 4940660632 5087412928 6504160832 7556304496 8028573527 8859115616 9881321264 15112608992 16057147054 17718231232 19762642528 30225217984 32114294108 39525285056 64228588216 128457176432 256914352864 513828705728
- Sum of all divisors σ(n): 1237863513600
- Sum of proper divisors (its aliquot sum) s(n): 724034807872
- 513828705728 is an abundant number, because the sum of its proper divisors (724034807872) is greater than itself. Its abundance is 210206102144
Bases of 513828705728
- Binary: 1110111101000101001001111010101110000002
- Hexadecimal: 0x77A293D5C0
- Base-36: 6K1SCERK
Squares and roots of 513828705728
- 513828705728 squared (5138287057282) is 264019938830111620009984
- 513828705728 cubed (5138287057283) is 135661023455461984183503425157988352
-
The
square root of 513828705728 is 716818.4607890619 -
The
cube root of 513828705728 is 8009.5131919133
Scales and comparisons
How big is 513828705728?- 513,828,705,728 seconds is equal to 16,338 years, 8 weeks, 3 days, 12 hours, 2 minutes, 8 seconds.
-
To count from 1 to 513,828,705,728 would take you about thirty-two thousand, six hundred seventy-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 513828705728 cubic inches would be around 667.5 feet tall.
Recreational maths with 513828705728
- 513828705728 backwards is 827507828315
- The number of decimal digits it has is: 12
- The sum of 513828705728's digits is 56
- 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 513828705728 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 513828705728 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/513828705728/
Chicago style:
Numbermatics. 2024. "Number 513828705728 - Facts about the integer". https://numbermatics.com/n/513828705728/
The information we have on file for 513828705728 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 513828705728, math, Factors of 513828705728, curriculum, school, college, exams, university, Prime factorization of 513828705728, STEM, science, technology, engineering, physics, economics, calculator, five hundred thirteen billion, eight hundred twenty-eight million, seven hundred five thousand, seven hundred twenty-eight.