830998026144
830,998,026,144 is an even composite number composed of six prime numbers multiplied together.
830998026144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 830998026144:
25 × 33 × 11 × 13 × 173 × 372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 17 × 17 × 37 × 37)See below for interesting mathematical facts about the number 830998026144 from the Numbermatics database.
Names of 830998026144
- Cardinal: 830998026144 can be written as Eight hundred thirty billion, nine hundred ninety-eight million, twenty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.30998026144 × 1011
Factors of 830998026144
Divisors of 830998026144
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 37 39 44 48 51 52 54 66 68 72 74 78 88 96 99 102 104 108 111 117 132 136 143 144 148 153 156 176 187 198 204 208 216 221 222 234 264 272 286 288 289 296 297 306 312 333 351 352 374 396 407 408 416 429 432 442 444 459 468 481 528 544 561 572 578 592 594 612 624 629 663 666 702 748 792 814 816 858 864 867 884 888 918 936 962 999 1056 1122 1144 1156 1184 1188 1221 1224 1248 1258 1287 1326 1332 1369 1404 1443 1496 1584 1628 1632 1683 1716 1734 1768 1776 1836 1872 1887 1924 1989 1998 2244 2288 2312 2376 2431 2442 2448 2516 2574 2601 2652 2664 2738 2808 2886 2992 3168 3179 3256 3366 3432 3468 3536 3552 3663 3672 3744 3757 3774 3848 3861 3978 3996 4107 4329 4488 4576 4624 4752 4862 4884 4896 4913 5032 5049 5148 5202 5291 5304 5328 5476 5616 5661 5772 5967 5984 6358 6512 6732 6864 6919 6936 7072 7293 7326 7344 7514 7548 7696 7722 7803 7956 7992 8177 8214 8658 8976 9248 9504 9537 9724 9768 9826 10064 10098 10296 10404 10582 10608 10656 10693 10952 10989 11232 11271 11322 11544 11934 12321 12716 12987 13024 13464 13728 13838 13872 14586 14652 14688 14739 15028 15059 15096 15392 15444 15606 15873 15912 15984 16354 16428 16983 17316 17797 17952 19074 19448 19536 19652 20128 20196 20592 20757 20808 21164 21216 21386 21879 21904 21978 22542 22644 23088 23273 23868 24531 24642 25432 25974 26928 27676 27744 28611 29172 29304 29478 30056 30118 30192 30888 31212 31746 31824 31968 32079 32708 32856 33813 33966 34632 35594 36963 38148 38896 39072 39304 40392 41184 41327 41514 41616 42328 42772 43758 43808 43956 44217 45084 45177 45288 46176 46546 47619 47736 49062 49284 50864 51948 53391 53856 54043 55352 57222 58344 58608 58956 60112 60236 60384 61776 62271 62424 63492 63648 63869 64158 65416 65637 65712 67626 67932 69264 69819 71188 73593 73926 76296 77792 78608 80784 82654 83028 83232 84656 85544 85833 87516 87912 88434 89947 90168 90354 90576 93092 95238 95472 96237 98124 98568 101439 101728 103896 106782 108086 110704 114444 116688 117216 117623 117912 120224 120472 123552 123981 124542 124848 126984 127738 128316 130832 131274 131424 132651 135252 135531 135864 138528 139009 139638 142376 142857 147186 147852 152592 157216 160173 161568 162129 165308 166056 169312 171088 171666 175032 175824 176868 179894 180336 180708 181152 181781 186184 186813 190476 190944 191607 192474 195767 196248 197136 202878 207792 209457 213564 216172 220779 221408 228888 233376 235246 235824 240944 247962 249084 249696 253968 255476 256003 256632 261664 262548 265302 269841 270504 271062 271728 278018 279276 284752 285714 288711 294372 295704 302549 305184 320346 324258 330616 332112 342176 343332 350064 351648 352869 353736 359788 360672 361416 363562 371943 372368 373626 380952 383214 384948 391534 392496 394272 395641 405756 406593 415584 417027 418914 427128 432344 441558 457776 470492 471648 480519 481888 486387 495924 498168 507936 510952 512006 513264 525096 530604 539682 541008 542124 543456 545343 556036 558552 569504 571428 574821 577422 587301 588744 591408 605098 628371 640692 648516 661232 664224 686664 700128 702559 705738 707472 719576 722832 727124 743886 744736 747252 761904 766428 768009 769896 783068 784992 791282 809523 811512 813186 834054 837828 854256 864688 883116 907647 915552 940984 961038 972774 991848 996336 1021904 1024012 1026528 1050192 1058607 1061208 1079364 1082016 1084248 1090686 1112072 1115829 1117104 1142856 1149642 1154844 1174602 1177488 1182816 1186923 1210196 1251081 1256742 1281384 1297032 1322464 1373328 1405118 1411476 1414944 1439152 1445664 1454248 1459161 1487772 1494504 1523808 1529099 1532856 1536018 1539792 1566136 1582564 1619046 1623024 1626372 1636029 1668108 1675656 1708512 1724463 1729376 1761903 1766232 1815294 1881968 1922076 1945548 1983696 1992672 1999591 2043808 2048024 2100384 2107677 2117214 2122416 2158728 2168496 2181372 2224144 2231658 2234208 2285712 2299284 2304027 2309688 2349204 2354976 2363153 2373846 2420392 2428569 2502162 2513484 2562768 2594064 2722941 2746656 2810236 2822952 2878304 2908496 2918322 2975544 2989008 3058198 3065712 3072036 3079584 3132272 3165128 3175821 3238092 3246048 3252744 3272058 3328039 3336216 3351312 3448926 3523806 3532464 3560769 3630588 3753243 3763936 3844152 3891096 3967392 3999182 4096048 4215354 4234428 4244832 4317456 4336992 4352051 4362744 4448288 4463316 4571424 4587297 4598568 4608054 4619376 4698408 4726306 4747692 4840784 4857138 4908087 5004324 5026968 5125536 5143333 5188128 5285709 5445882 5620472 5645904 5816992 5836644 5951088 5978016 5998773 6116396 6131424 6144072 6264544 6323031 6330256 6351642 6476184 6505488 6544116 6656078 6672432 6702624 6725897 6897852 6912081 7047612 7064928 7089459 7121538 7261176 7506486 7688304 7782192 7998364 8168823 8192096 8430708 8468856 8634912 8704102 8725488 8926632 9174594 9197136 9216108 9238752 9396816 9452612 9495384 9681568 9714276 9816174 9984117 10008648 10053936 10286666 10571418 10682307 10891764 11240944 11291808 11673288 11902176 11997546 12232792 12288144 12646062 12660512 12703284 12952368 13010976 13056153 13088232 13312156 13344864 13451794 13761891 13795704 13824162 14095224 14178918 14243076 14522352 15012972 15376608 15429999 15564384 15996728 16337646 16861416 16937712 17408204 17450976 17853264 17996319 18349188 18394272 18432216 18793632 18905224 18969093 18990768 19428552 19632348 19968234 20017296 20107872 20177691 20573332 21142836 21268377 21364614 21783528 22481888 23346576 23995092 24465584 24576288 25292124 25406568 25904736 25994683 26112306 26176464 26624312 26903588 27523782 27591408 27648324 28190448 28357836 28486152 29044704 29952351 30025944 30859998 31993456 32675292 33722832 33875424 34816408 35706528 35992638 36698376 36864432 37810448 37938186 37981536 38857104 39168459 39264696 39936468 40034592 40355382 41146664 41285673 42285672 42536754 42729228 43567056 46289997 46693152 47990184 48931168 50584248 50813136 51989366 52224612 52352928 53248624 53807176 53988957 55047564 55182816 55296648 56380896 56576663 56715672 56972304 59904702 60051888 60533073 61719996 63805131 63986912 65350584 67445664 69632816 71985276 73396752 73728864 73984867 75620896 75876372 77714208 77984049 78336918 78529392 79872936 80710764 82293328 82571346 84571344 85073508 85458456 87134112 87436661 89857053 92579994 95980368 101168496 101626272 103978732 104449224 106497248 107614352 107977914 110095128 110593296 113153326 113431344 113944608 117505377 119809404 120103776 121066146 123439992 127610262 130701168 138869991 139265632 143970552 146793504 147969734 151752744 155968098 156673836 157058784 159745872 161421528 164586656 165142692 169142688 169729989 170147016 170916912 174873322 179714106 181599219 185159988 191960736 202336992 207957464 208898448 215228704 215955828 220190256 221186592 221954601 226306652 226862688 233952147 235010754 239618808 242132292 246879984 255220524 261402336 262309983 277739982 287941104 295939468 303505488 311936196 313347672 319491744 322843056 330285384 339459978 340294032 341833824 349746644 359428212 363198438 370319976 415914928 417796896 431911656 440380512 443909202 452613304 467904294 470021508 479237616 484264584 493759968 509189967 510441048 524619966 555479964 575882208 591878936 607010976 623872392 626695344 645686112 660570768 665863803 678919956 680588064 699493288 701856441 718856424 726396876 740639952 786929949 831829856 863823312 887818404 905226608 935808588 940043016 958475232 961803271 968529168 1018379934 1020882096 1049239932 1110959928 1183757872 1247744784 1253390688 1321141536 1331727606 1357839912 1398986576 1403712882 1437712848 1452793752 1481279904 1527569901 1573859898 1727646624 1775636808 1810453216 1871617176 1880086032 1923606542 1937058336 1997591409 2036759868 2041764192 2098479864 2221919856 2360789847 2367515744 2495489568 2663455212 2715679824 2797973152 2807425764 2875425696 2885409813 2905587504 3055139802 3147719796 3551273616 3743234352 3760172064 3847213084 3995182818 4073519736 4196959728 4443839712 4721579694 5326910424 5431359648 5614851528 5770819626 5811175008 6110279604 6295439592 7102547232 7486468704 7694426168 7990365636 8147039472 8393919456 8656229439 9443159388 10653820848 11229703056 11541639252 12220559208 12590879184 15388852336 15980731272 16294078944 17312458878 18886318776 21307641696 22459406112 23083278504 24441118416 25181758368 25968688317 30777704672 31961462544 34624917756 37772637552 46166557008 48882236832 51937376634 63922925088 69249835512 75545275104 92333114016 103874753268 138499671024 207749506536 276999342048 415499013072 830998026144
- Sum of all divisors σ(n): 3109384454400
- Sum of proper divisors (its aliquot sum) s(n): 2278386428256
- 830998026144 is an abundant number, because the sum of its proper divisors (2278386428256) is greater than itself. Its abundance is 1447388402112
Bases of 830998026144
- Binary: 11000001011110110101011110010111101000002
- Hexadecimal: 0xC17B5797A0
- Base-36: ALR6ROO0
Squares and roots of 830998026144
- 830998026144 squared (8309980261442) is 690557719455224107508736
- 830998026144 cubed (8309980261443) is 573852101805793340328923665236393984
-
The
square root of 830998026144 is 911590.9313634049 -
The
cube root of 830998026144 is 9401.5616318431
Scales and comparisons
How big is 830998026144?- 830,998,026,144 seconds is equal to 26,423 years, 8 weeks, 4 days, 17 hours, 2 minutes, 24 seconds.
-
To count from 1 to 830,998,026,144 would take you about fifty-two thousand, eight hundred forty-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 830998026144 cubic inches would be around 783.5 feet tall.
Recreational maths with 830998026144
- 830998026144 backwards is 441620899038
- 830998026144 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 830998026144's digits is 54
- More coming soon!
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The information we have on file for 830998026144 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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