830172748474368
830,172,748,474,368 is an even composite number composed of six prime numbers multiplied together.
What does the number 830172748474368 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
830172748474368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 830172748474368:
211 × 33 × 132 × 412 × 43 × 1229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 41 × 41 × 43 × 1229)See below for interesting mathematical facts about the number 830172748474368 from the Numbermatics database.
Names of 830172748474368
- Cardinal: 830172748474368 can be written as Eight hundred thirty trillion, one hundred seventy-two billion, seven hundred forty-eight million, four hundred seventy-four thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 8.30172748474368 × 1014
Factors of 830172748474368
Divisors of 830172748474368
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 43 48 52 54 64 72 78 82 86 96 104 108 117 123 128 129 144 156 164 169 172 192 208 216 234 246 256 258 288 312 328 338 344 351 369 384 387 416 432 468 492 507 512 516 533 559 576 624 656 676 688 702 738 768 774 832 864 936 984 1014 1024 1032 1066 1107 1118 1152 1161 1229 1248 1312 1352 1376 1404 1476 1521 1536 1548 1599 1664 1677 1681 1728 1763 1872 1968 2028 2048 2064 2132 2214 2236 2304 2322 2458 2496 2624 2704 2752 2808 2952 3042 3072 3096 3198 3328 3354 3362 3456 3526 3687 3744 3936 4056 4128 4264 4428 4472 4563 4608 4644 4797 4916 4992 5031 5043 5248 5289 5408 5504 5616 5904 6084 6144 6192 6396 6656 6708 6724 6912 6929 7052 7267 7374 7488 7872 8112 8256 8528 8856 8944 9126 9216 9288 9594 9832 9984 10062 10086 10496 10578 10816 11008 11061 11232 11808 12168 12384 12792 13312 13416 13448 13824 13858 14104 14391 14534 14748 14976 15093 15129 15744 15867 15977 16224 16512 17056 17712 17888 18252 18432 18576 19188 19664 19968 20124 20172 20787 20992 21156 21632 21801 21853 22016 22122 22464 22919 23616 24336 24768 25584 26624 26832 26896 27648 27716 28208 28782 29068 29496 29952 30186 30258 31488 31734 31954 32448 33024 33183 34112 35424 35776 36504 37152 38376 39328 39936 40248 40344 41574 41984 42312 43264 43602 43706 44032 44244 44928 45387 45838 47232 47601 47931 48672 49536 50389 51168 52847 53664 53792 55296 55432 56416 57564 58136 58992 59904 60372 60516 62361 62976 63468 63908 64896 65403 65559 66048 66366 68224 68757 70848 71552 72283 73008 74304 76752 78656 79872 80496 80688 83148 83968 84624 86528 87204 87412 88064 88488 89856 90774 91676 94464 95202 95862 97344 99072 100778 102336 105694 107328 107584 110864 112832 115128 116272 117984 119808 120744 121032 124722 125952 126936 127816 129792 130806 131118 132096 132732 136448 137514 141696 143104 143793 144566 146016 148608 151167 153504 157312 158541 160992 161376 166296 169248 173056 174408 174824 176976 179712 181548 183352 187083 188928 190404 191724 194688 196209 196677 198144 201556 204672 206271 207701 211388 214656 215168 216849 221728 225664 230256 232544 235968 239616 241488 242064 249444 251904 253872 255632 259584 261612 262236 264192 265464 272896 275028 283392 284089 286208 287586 289132 292032 297216 297947 302334 307008 314624 317082 321984 322752 332592 338496 346112 348816 349648 353952 359424 363096 366704 374166 377856 380808 383448 389376 392418 393354 396288 403112 409344 412542 415402 422776 429312 430336 431379 433698 443456 451328 453501 460512 465088 471936 475623 482976 484128 498888 507744 511264 519168 523224 524472 530928 545792 550056 566784 568178 572416 575172 578264 584064 590031 594432 595894 604668 614016 618813 623103 629248 634164 643968 645504 650547 655057 665184 676992 687011 697632 699296 707904 718848 726192 733408 748332 755712 761616 766896 778752 784836 786708 792576 806224 818688 825084 830804 845552 852267 858624 860672 862758 867396 886912 893841 902656 907002 921024 930176 939679 943872 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62362736514 64897807104 67035913152 68225899776 70305957696 73911391424 75054041088 75415402296 76754137248 78481069056 79094202408 82309413888 82505739264 83150315352 84435796224 86530409472 89381217536 90079508298 90967866368 92818956672 93741276928 97346710656 100553869728 102338849664 105458936544 110867087136 112581061632 114238715904 117721603584 119811336192 120106011064 123464120832 123758608896 124725473028 129795614208 134071826304 135119262447 136451799552 140611915392 147822782848 150830804592 153508274496 156962138112 158188404816 164618827776 165011478528 166300630704 168871592448 173060818944 178762435072 180159016596 181935732736 185637913344 187482553856 194693421312 201107739456 204677699328 210917873088 221734174272 225162123264 235443207168 240212022128 246928241664 247517217792 249450946056 259591228416 268143652608 270238524894 272903599104 281223830784 295645565696 301661609184 307016548992 316376809632 332601261408 337743184896 357524870144 360318033192 371275826688 374965107712 389386842624 402215478912 405357787341 409355398656 421835746176 443468348544 470886414336 480424044256 493856483328 495034435584 498901892112 519182456832 536287305216 540477049788 545807198208 562447661568 591291131392 603323218368 614033097984 632753619264 665202522816 675486369792 715049740288 720636066384 742551653376 749930215424 778773685248 804430957824 810715574682 818710797312 843671492352 886936697088 960848088512 997803784224 1072574610432 1080954099576 1124895323136 1182582262784 1206646436736 1228066195968 1265507238528 1330405045632 1441272132768 1485103306752 1557547370496 1608861915648 1621431149364 1637421594624 1687342984704 1773873394176 1921696177024 1995607568448 2145149220864 2161908199152 2249790646272 2365164525568 2413292873472 2456132391936 2531014477056 2660810091264 2882544265536 3217723831296 3242862298728 3374685969408 3547746788352 3843392354048 3991215136896 4323816398304 4826585746944 4912264783872 5062028954112 5321620182528 5765088531072 6435447662592 6485724597456 6749371938816 7095493576704 7686784708096 7982430273792 8647632796608 9653171493888 10124057908224 10643240365056 11530177062144 12971449194912 15373569416192 15964860547584 17295265593216 19306342987776 20248115816448 21286480730112 23060354124288 25942898389824 30747138832384 31929721095168 34590531186432 46120708248576 51885796779648 63859442190336 69181062372864 92241416497152 103771593559296 138362124745728 207543187118592 276724249491456 415086374237184 830172748474368
- Sum of all divisors σ(n): 2795168880504000
- Sum of proper divisors (its aliquot sum) s(n): 1964996132029632
- 830172748474368 is an abundant number, because the sum of its proper divisors (1964996132029632) is greater than itself. Its abundance is 1134823383555264
Bases of 830172748474368
- Binary: 101111001100001001101001111100011001101000000000002
- Hexadecimal: 0x2F309A7C66800
- Base-36: 869S3G0LC0
Squares and roots of 830172748474368
- 830172748474368 squared (8301727484743682) is 689186792309486276471552999424
- 830172748474368 cubed (8301727484743683) is 572144093583799648900943283356722150382764032
-
The
square root of 830172748474368 is 28812718.5193339227 -
The
cube root of 830172748474368 is 93984.4831967945
Scales and comparisons
How big is 830172748474368?- 830,172,748,474,368 seconds is equal to 26,396,925 years, 26 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 830,172,748,474,368 would take you about sixty-five million, nine hundred ninety-two thousand, three hundred thirteen 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 830172748474368 cubic inches would be around 7832 feet tall.
Recreational maths with 830172748474368
- 830172748474368 backwards is 863474847271038
- 830172748474368 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 830172748474368's digits is 72
- More coming soon!
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"Number 830172748474368 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 830172748474368 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/830172748474368/
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The information we have on file for 830172748474368 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!
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