146996107984440
146,996,107,984,440 is an even composite number composed of seven prime numbers multiplied together.
146996107984440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 146996107984440:
23 × 35 × 5 × 112 × 13 × 61 × 3972
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 61 × 397 × 397)See below for interesting mathematical facts about the number 146996107984440 from the Numbermatics database.
Names of 146996107984440
- Cardinal: 146996107984440 can be written as One hundred forty-six trillion, nine hundred ninety-six billion, one hundred seven million, nine hundred eighty-four thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.4699610798444 × 1014
Factors of 146996107984440
Divisors of 146996107984440
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 33 36 39 40 44 45 52 54 55 60 61 65 66 72 78 81 88 90 99 104 108 110 117 120 121 122 130 132 135 143 156 162 165 180 183 195 198 216 220 234 242 243 244 260 264 270 286 297 305 312 324 330 351 360 363 366 390 396 397 405 429 440 468 484 486 488 495 520 540 549 572 585 594 605 610 648 660 671 702 715 726 732 780 792 793 794 810 858 891 915 936 968 972 990 1053 1080 1089 1098 1144 1170 1188 1191 1210 1215 1220 1287 1320 1342 1404 1430 1452 1464 1485 1560 1573 1586 1588 1620 1647 1716 1755 1782 1815 1830 1944 1980 1985 2013 2106 2145 2178 2196 2340 2376 2379 2382 2420 2430 2440 2574 2673 2684 2745 2808 2860 2904 2970 3146 3159 3172 3176 3240 3267 3294 3355 3432 3510 3564 3573 3630 3660 3861 3960 3965 3970 4026 4212 4290 4356 4367 4392 4455 4680 4719 4758 4764 4840 4860 4941 5148 5161 5265 5346 5368 5445 5490 5720 5940 5955 6039 6292 6318 6344 6435 6534 6588 6710 7020 7128 7137 7146 7260 7320 7381 7722 7865 7930 7940 8052 8235 8424 8580 8712 8723 8734 8910 9438 9516 9528 9720 9801 9882 10065 10296 10322 10530 10692 10719 10890 10980 11583 11880 11895 11910 12078 12584 12636 12870 13068 13101 13176 13365 13420 14040 14157 14274 14292 14520 14762 14823 15444 15483 15730 15795 15860 15880 16104 16335 16470 17160 17446 17468 17820 17865 18117 18876 19032 19305 19602 19764 20130 20644 21060 21384 21411 21438 21780 21835 21960 22143 23166 23595 23790 23820 24156 24217 24705 25272 25740 25805 26136 26169 26202 26730 26840 28314 28548 28584 29403 29524 29646 30195 30888 30966 31460 31590 31720 32157 32670 32940 34749 34892 34936 35640 35685 35730 36234 36905 37752 38610 39204 39303 39528 40260 41288 42120 42471 42822 42876 43560 43615 43670 44286 46332 46449 47190 47580 47640 48037 48312 48434 49005 49410 51480 51610 52338 52404 53460 53595 54351 56628 56771 57096 57915 58806 59048 59292 60390 61932 62920 63180 64233 64314 65340 65505 65880 66429 69498 69784 70785 71370 71460 72468 72651 73810 74115 77220 77415 78408 78507 78606 80520 84942 85644 85752 87230 87340 88572 90585 92664 92898 94380 95160 95953 96074 96471 96868 98010 98820 103220 104676 104808 106920 107055 107190 108702 110715 113256 113542 115830 117612 117909 118584 120780 121085 123864 126360 127413 128466 128628 130680 130845 131010 132858 138996 139347 141570 142740 142920 144111 144936 145302 147015 147620 148230 154440 154830 157014 157212 157609 160785 163053 169884 170313 171288 173745 174460 174680 177144 181170 185796 188760 191906 192148 192699 192942 193736 196020 196515 197640 199287 206440 209352 212355 214110 214380 217404 217953 221430 227084 231660 232245 235224 235521 235818 240185 241560 242170 254826 256932 257256 261690 262020 265716 266387 271755 277992 278694 283140 283855 285480 287859 288222 290604 294030 295240 296460 309660 314028 314424 314821 315218 321165 321570 326106 332145 339768 340626 347490 348920 353727 362340 363255 371592 382239 383812 384296 385398 385884 392040 392535 393030 398574 418041 424710 428220 428760 432333 434808 435906 442860 454168 463320 464490 471042 471636 472827 479765 480370 482355 484340 509652 510939 513864 523380 524040 531432 532774 543510 557388 566280 567710 575718 576444 581208 588060 589545 592920 597861 619320 624481 628056 629642 630436 637065 642330 643140 652212 653859 664290 681252 694980 696735 706563 707454 720555 724680 726510 764478 767624 770796 771768 785070 786060 788045 797148 799161 815265 836082 849420 851565 856440 863577 864666 871812 885720 928980 942084 943272 944463 945654 959530 960740 963495 964710 968680 996435 1019304 1021878 1046760 1061181 1065548 1087020 1089765 1114776 1135420 1151436 1152888 1176120 1177605 1179090 1195722 1248962 1254123 1259284 1260872 1274130 1284660 1286280 1296999 1304424 1307718 1328580 1331935 1362504 1389960 1393470 1413126 1414908 1418481 1439295 1441110 1453020 1528956 1532817 1541592 1570140 1572120 1574105 1576090 1594296 1598322 1630530 1672164 1698840 1703130 1727154 1729332 1733699 1743624 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20081435517 20247397794 20570404140 20596344120 20622349605 20939616522 21907020564 22312706130 22497108660 22843218024 23170887135 23266240580 23362382070 24341133960 24684484968 24746819526 25698620277 26775247356 26996530392 27383775705 27496466140 27919488696 28482098040 28554022530 29750274840 30246112754 30371096691 30855606210 30894516180 31149842760 31409424783 32995759368 33469059195 33660661320 33745662990 34264827036 34899360870 36511700940 37026727452 37073419416 37120229289 38072030040 40162871034 40494795588 41140808280 41244699210 41879233044 42831033795 43814041128 44625412260 44994217320 45369169131 46283409315 46341774270 46532481160 46724764140 49493639052 50618494485 51397240554 52349041305 53550494712 54767551410 54992932280 57108045060 60244306551 60492225508 60742193382 61711212420 61789032360 61867048815 62818849566 66938118390 67491325980 68529654072 69798721740 73023401880 74053454904 74240458578 75615281885 80325742068 80989591176 82489398420 83758466088 85662067590 89250824520 90738338262 92566818630 92683548540 93449528280 94228274349 98987278104 100407177585 101236988970 102794481108 104698082610 109535102820 111360687867 114216090120 120488613102 120984451016 121484386764 123422424840 123734097630 125637699132 128493101385 133876236780 134982651960 136107507393 139597443480 148480917156 151230563770 151855483455 157047123915 160651484136 164978796840 171324135180 181476676524 185133637260 185367097080 185601146445 188456548698 200814355170 202473977940 205588962216 209396165220 219070205640 222721375734 226845845655 240977226204 242968773528 247468195260 251275398264 256986202770 267752473560 272215014786 282684823047 296961834312 301221532755 302461127540 303710966910 314094247830 334082063601 342648270360 362953353048 370267274520 371202292890 376913097396 401628710340 404947955880 408322522179 418792330440 445442751468 453691691310 471141371745 481954452408 494936390520 513972405540 544430029572 556803439335 565369646094 602443065510 604922255080 607421933820 628188495660 668164127202 680537536965 742404585780 753826194792 803257420680 816645044358 890885502936 907383382620 942282743490 1027944811080 1088860059144 1113606878670 1130739292188 1204886131020 1214843867640 1224967566537 1256376991320 1336328254404 1361075073930 1413424115235 1484809171560 1633290088716 1670410318005 1814766765240 1884565486980 2041612610895 2227213757340 2261478584376 2409772262040 2449935133074 2672656508808 2722150147860 2826848230470 3266580177432 3340820636010 3674902699611 3769130973960 4083225221790 4454427514680 4899870266148 5444300295720 5653696460940 6124837832685 6681641272020 7349805399222 8166450443580 9799740532296 11307392921880 12249675665370 13363282544040 14699610798444 16332900887160 18374513498055 24499351330740 29399221596888 36749026996110 48998702661480 73498053992220 146996107984440
- Sum of all divisors σ(n): 597573853138080
- Sum of proper divisors (its aliquot sum) s(n): 450577745153640
- 146996107984440 is an abundant number, because the sum of its proper divisors (450577745153640) is greater than itself. Its abundance is 303581637169200
Bases of 146996107984440
- Binary: 1000010110110001001100101100110010111110001110002
- Hexadecimal: 0x85B132CCBE38
- Base-36: 1G3T2VD7I0
Squares and roots of 146996107984440
- 146996107984440 squared (1469961079844402) is 21607855762573145119282113600
- 146996107984440 cubed (1469961079844403) is 3176270698987406162188028315157839112384000
-
The
square root of 146996107984440 is 12124195.1479032207 -
The
cube root of 146996107984440 is 52775.8551010929
Scales and comparisons
How big is 146996107984440?- 146,996,107,984,440 seconds is equal to 4,674,021 years, 28 weeks, 2 days, 9 hours, 54 minutes.
-
To count from 1 to 146,996,107,984,440 would take you about eleven million, six hundred eighty-five thousand and fifty-three 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 146996107984440 cubic inches would be around 4398 feet tall.
Recreational maths with 146996107984440
- 146996107984440 backwards is 044489701699641
- 146996107984440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146996107984440's digits is 72
- More coming soon!
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"Number 146996107984440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 146996107984440 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/146996107984440/
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The information we have on file for 146996107984440 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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