9834435828007128
9,834,435,828,007,128 is an even composite number composed of seven prime numbers multiplied together.
9834435828007128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 9834435828007128:
23 × 34 × 13 × 29 × 281 × 1093 × 131071
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 29 × 281 × 1093 × 131071)See below for interesting mathematical facts about the number 9834435828007128 from the Numbermatics database.
Names of 9834435828007128
- Cardinal: 9834435828007128 can be written as Nine quadrillion, eight hundred thirty-four trillion, four hundred thirty-five billion, eight hundred twenty-eight million, seven thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.834435828007128 × 1015
Factors of 9834435828007128
Divisors of 9834435828007128
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 104 108 116 117 156 162 174 216 232 234 261 281 312 324 348 351 377 468 522 562 648 696 702 754 783 843 936 1044 1053 1093 1124 1131 1404 1508 1566 1686 2088 2106 2186 2248 2262 2349 2529 2808 3016 3132 3279 3372 3393 3653 4212 4372 4524 4698 5058 6264 6558 6744 6786 7306 7587 8149 8424 8744 9048 9396 9837 10116 10179 10959 13116 13572 14209 14612 15174 16298 18792 19674 20232 20358 21918 22761 24447 26232 27144 28418 29224 29511 30348 30537 31697 32596 32877 39348 40716 42627 43836 45522 48894 56836 59022 60696 61074 63394 65192 65754 73341 78696 81432 85254 87672 88533 91044 95091 97788 98631 105937 113672 118044 122148 126788 127881 131071 131508 146682 170508 177066 182088 190182 195576 197262 211874 220023 236088 244296 253576 255762 262142 263016 285273 293364 295893 307133 317811 341016 354132 380364 383643 393213 394524 412061 423748 440046 511524 524284 570546 586728 591786 614266 635622 660069 708264 760728 767286 786426 789048 824122 847496 855819 880092 921399 953433 1023048 1048568 1141092 1150929 1179639 1183572 1228532 1236183 1271244 1320138 1534572 1572852 1648244 1703923 1711638 1760184 1842798 1906866 2282184 2301858 2359278 2367144 2457064 2472366 2542488 2567457 2640276 2764197 2860299 3069144 3145704 3296488 3407846 3423276 3538917 3685596 3708549 3801059 3813732 3992729 4603716 4718556 4944732 5111769 5134914 5280552 5528394 5720598 6815692 6846552 7077834 7371192 7417098 7602118 7627464 7985458 8292591 8580897 8906857 9207432 9437112 9889464 10223538 10269828 10616751 11056788 11125647 11403177 11441196 11978187 13631384 14155668 14834196 15204236 15335307 15970916 16585182 17161794 17813714 20447076 20539656 21233502 22113576 22251294 22806354 22882392 23956374 24877773 26720571 28311336 29668392 30408472 30670614 31941832 33170364 33376941 34209531 34323588 35627428 35934561 36830951 40894152 42467004 44502588 45612708 46005921 47912748 49413767 49755546 53441142 61341228 66340728 66753882 68419062 68647176 71254856 71869122 73661902 80161713 84934008 89005176 91225416 92011842 95825496 98827534 99511092 102628593 106882284 107803683 110492853 115789141 122682456 133507764 136838124 138017763 143260603 143738244 147323804 148241301 160323426 184023684 197655068 199022184 205257186 213764568 215607366 220985706 231578282 240485139 267015528 273676248 276035526 286521206 287476488 294647608 296482602 307885779 320646852 323411049 331478559 347367423 368047368 395310136 410514372 429781809 431214732 441971412 444723903 463156564 478802363 480970278 552071052 573042412 592965204 615771558 641293704 646822098 662957118 694734846 721455417 821028744 859563618 862429464 883942824 889447806 926313128 957604726 961940556 994435677 1042102269 1068097579 1104142104 1146084824 1185930408 1231543116 1289345427 1293644196 1325914236 1334171709 1389469692 1436407089 1442910834 1719127236 1778895612 1862387839 1915209452 1923881112 1988871354 2084204538 2136195158 2463086232 2578690854 2587288392 2651828472 2668343418 2778939384 2872814178 2885821668 2983307031 3126306807 3204292737 3438254472 3557791224 3724775678 3830418904 3868036281 3977742708 4002515127 4154557487 4168409076 4272390316 4309221267 5157381708 5336686836 5587163517 5745628356 5771643336 5966614062 6252613614 6408585474 7449551356 7736072562 7955485416 8005030254 8309114974 8336818152 8544780632 8618442534 9378920421 9612878211 10314763416 10673373672 11174327034 11491256712 11604108843 11933228124 12463672461 12505227228 12817170948 12927663801 13885268527 14899102712 15472145124 16010060508 16618229948 16761490551 17236885068 18757840842 19225756422 22348654068 23208217686 23866456248 24927344922 25010454456 25634341896 25855327602 27770537054 28838634633 30944290248 32020121016 33236459896 33522981102 34473770136 37391017383 37515681684 38451512844 38782991403 40256229443 41655805581 44697308136 46416435372 49854689844 50284471653 51710655204 54009247331 55541074108 57677269266 67045962204 74782034766 75031363368 76903025688 77565982806 80512458886 83311611162 86515903899 92832870744 99709379688 100568943306 103421310408 108018494662 111082148216 112173052149 115354538532 120768688329 124967416743 134091924408 149564069532 150853414959 155131965612 161024917772 162027741993 166623222324 173031807798 201137886612 216036989324 224346104298 230709077064 241537376658 249934833486 299128139064 301706829918 310263931224 322049835544 324055483986 333246444648 336519156447 346063615596 362306064987 374902250229 402275773224 432073978648 448692208596 483074753316 486083225979 499869666972 523330982759 603413659836 648110967972 673038312894 692127231192 724612129974 749804500458 897384417192 966149506632 972166451958 999739333944 1046661965518 1086918194961 1124706750687 1167430653847 1206827319672 1296221935944 1346076625788 1449224259948 1458249677937 1499609000916 1569992948277 1944332903916 2093323931036 2173836389922 2249413501374 2334861307694 2692153251576 2898448519896 2916499355874 2999218001832 3139985896554 3260754584883 3502291961541 3888665807832 4186647862072 4347672779844 4374749033811 4498827002748 4669722615388 4709978844831 5832998711748 6279971793108 6521509169766 7004583923082 8695345559688 8749498067622 8997654005496 9339445230776 9419957689662 10506875884623 11665997423496 12559943586216 13043018339532 14009167846164 14129936534493 15176598500011 17498996135244 18839915379324 21013751769246 26086036679064 28018335692328 28259873068986 30353197000022 31520627653869 34997992270488 37679830758648 42027503538492 42389809603479 45529795500033 56519746137972 60706394000044 63041255307738 84055007076984 84779619206958 91059591000066 94561882961607 113039492275944 121412788000088 126082510615476 136589386500099 169559238413916 182119182000132 189123765923214 252165021230952 273178773000198 339118476827832 364238364000264 378247531846428 409768159500297 546357546000396 756495063692856 819536319000594 1092715092000792 1229304478500891 1639072638001188 2458608957001782 3278145276002376 4917217914003564 9834435828007128
- Sum of all divisors σ(n): 30824942587084800
- Sum of proper divisors (its aliquot sum) s(n): 20990506759077672
- 9834435828007128 is an abundant number, because the sum of its proper divisors (20990506759077672) is greater than itself. Its abundance is 11156070931070544
Bases of 9834435828007128
- Binary: 1000101111000001011110000001100001100001000000110110002
- Hexadecimal: 0x22F05E061840D8
- Base-36: 2OU0LG6DXI0
Squares and roots of 9834435828007128
- 9834435828007128 squared (98344358280071282) is 96716128055190245301164018808384
- 9834435828007128 cubed (98344358280071283) is 951148554892088302306653472742144173508018161152
-
The
square root of 9834435828007128 is 99168724.0414392345 -
The
cube root of 9834435828007128 is 214247.8555129175
Scales and comparisons
How big is 9834435828007128?- 9,834,435,828,007,128 seconds is equal to 312,704,639 years, 22 weeks, 1 hour, 58 minutes, 48 seconds.
-
To count from 1 to 9,834,435,828,007,128 would take you about nine hundred thirty-eight million, one hundred thirteen thousand, nine hundred eighteen 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 9834435828007128 cubic inches would be around 17854 feet tall.
Recreational maths with 9834435828007128
- 9834435828007128 backwards is 8217008285344389
- 9834435828007128 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 9834435828007128's digits is 72
- More coming soon!
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