3948125108004
3,948,125,108,004 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3948125108004 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
3948125108004 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 3948125108004:
22 × 36 × 73 × 112 × 17 × 19 × 101
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 17 × 19 × 101)See below for interesting mathematical facts about the number 3948125108004 from the Numbermatics database.
Names of 3948125108004
- Cardinal: 3948125108004 can be written as Three trillion, nine hundred forty-eight billion, one hundred twenty-five million, one hundred eight thousand and four.
Scientific notation
- Scientific notation: 3.948125108004 × 1012
Factors of 3948125108004
Divisors of 3948125108004
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 17 18 19 21 22 27 28 33 34 36 38 42 44 49 51 54 57 63 66 68 76 77 81 84 98 99 101 102 108 114 119 121 126 132 133 147 153 154 162 171 187 189 196 198 202 204 209 228 231 238 242 243 252 266 294 297 303 306 308 323 324 342 343 357 363 374 378 396 399 404 418 441 459 462 476 484 486 513 532 539 561 567 588 594 606 612 627 646 684 686 693 707 714 726 729 748 756 798 833 836 847 882 891 909 918 924 931 969 972 1026 1029 1071 1078 1089 1111 1122 1134 1188 1197 1212 1254 1292 1309 1323 1372 1377 1386 1414 1428 1452 1458 1463 1539 1596 1617 1666 1683 1694 1701 1717 1764 1782 1818 1836 1862 1881 1919 1938 2052 2057 2058 2079 2121 2142 2156 2178 2222 2244 2261 2268 2299 2394 2499 2508 2541 2618 2646 2673 2727 2754 2772 2793 2828 2907 2916 2926 3078 3087 3213 3234 3267 3332 3333 3366 3388 3402 3434 3553 3564 3591 3636 3724 3762 3773 3838 3876 3927 3969 4114 4116 4131 4158 4242 4284 4356 4389 4444 4522 4598 4617 4788 4851 4949 4998 5049 5082 5103 5151 5236 5292 5346 5454 5508 5586 5643 5757 5814 5831 5852 5929 6156 6171 6174 6237 6363 6426 6468 6517 6534 6666 6732 6783 6804 6868 6897 7106 7182 7497 7524 7546 7623 7676 7777 7854 7938 8019 8181 8228 8262 8316 8379 8484 8721 8778 9044 9163 9196 9234 9261 9639 9702 9801 9898 9996 9999 10098 10164 10206 10241 10302 10659 10692 10773 10908 11172 11286 11319 11514 11628 11662 11781 11858 11907 12019 12221 12342 12348 12393 12474 12726 12852 13034 13068 13167 13332 13433 13566 13794 13851 14212 14364 14399 14553 14847 14994 15092 15147 15246 15453 15554 15708 15827 15876 16038 16093 16362 16524 16758 16929 17271 17442 17493 17556 17787 18326 18468 18513 18522 18711 18887 19089 19278 19404 19551 19602 19796 19998 20196 20349 20412 20482 20604 20691 21109 21318 21546 22491 22572 22638 22869 23028 23324 23331 23562 23716 23814 24038 24442 24543 24684 24786 24871 24948 25137 25452 26068 26163 26334 26866 27132 27489 27588 27702 27783 28798 28917 29106 29403 29694 29988 29997 30294 30492 30723 30906 31108 31654 31977 32076 32186 32319 32623 32724 33516 33858 33957 34542 34643 34884 34986 35343 35574 35721 36057 36652 36663 37026 37044 37422 37774 38178 38556 39083 39102 39204 39501 39996 40299 40698 40964 41382 41503 42218 42636 43092 43197 43659 44541 44982 45276 45441 45738 46359 46662 47124 47481 47628 48076 48279 48884 49086 49572 49742 50274 50787 51813 52326 52479 52668 53361 53732 54439 54978 55404 55539 55566 56133 56661 57267 57596 57834 58212 58653 58806 59388 59994 60588 61047 61446 61812 62073 63308 63327 63954 64141 64372 64638 65246 67473 67716 67914 68607 69084 69286 69972 69993 70686 71148 71442 71687 72114 73326 73629 74052 74613 74844 75411 75548 76356 78166 78204 78489 79002 80598 81396 82467 82764 83006 83349 84133 84436 85547 86394 86751 87318 88209 89082 89964 89991 90882 91476 92169 92718 93324 94031 94962 95931 96558 96957 97869 98172 99484 100548 100793 101574 101871 103626 103929 104652 104958 106029 106722 108171 108878 109956 109989 110789 111078 111132 112266 112651 113322 114534 115668 117249 117306 117612 118503 119988 120897 122094 122892 124146 124509 126654 127908 128282 129276 129591 130492 130977 132209 133623 134946 135828 136323 137214 138572 139077 139986 141372 142443 142884 143374 144228 144837 146652 147258 147763 149226 150822 152361 155439 156332 156978 157437 158004 160083 161196 163317 164934 166012 166617 166698 168266 169983 171094 171801 172788 173502 174097 174636 175959 176418 178164 179982 181764 183141 184338 185436 186219 188062 189924 189981 191862 192423 193116 193914 195738 201586 202419 203148 203742 205821 207252 207757 207858 209916 209979 212058 213444 215061 216342 217756 219978 221578 222156 223839 224532 225302 226233 226644 228361 229068 232199 234498 234612 235467 237006 241794 244188 247401 248292 249018 250047 252399 253308 256564 256641 259182 261954 264418 267246 269892 269973 272646 273581 274428 276507 278154 279972 282093 284886 286748 287793 289674 293607 294516 295526 298452 301644 302379 304722 305613 310878 311787 313956 314874 318087 320166 324513 326634 329868 329967 332367 333234 333396 336532 337953 339966 342188 343602 347004 348194 351747 351918 352836 355509 358853 359964 362691 366282 368676 372438 373527 376124 379962 381073 383724 384846 387828 388773 391476 392931 396627 400869 403172 404838 407484 411642 415514 415716 417231 419958 424116 427329 430122 432684 434511 439956 443156 443289 447678 450604 452466 456722 464398 466317 468996 470934 472311 474012 480249 483588 489951 494802 498036 499851 500094 504798 509949 513282 515403 518364 522291 523908 527877 528836 534492 539946 545292 547162 549423 553014 556308 558657 564186 569772 569943 575586 577269 579348 587214 588931 591052 598829 604758 607257 609444 611226 617463 621756 623271 623574 629748 629937 636174 640332 645183 649026 653268 658217 659934 664734 666468 671517 675906 678699 679932 685083 687204 696388 696597 703494 703836 705551 711018 717706 725382 732564 742203 744876 747054 757197 759924 762146 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92600739 93517578 95128668 95406822 96380361 97010298 97970796 98712999 99950004 100707201 100969902 101018988 102399759 103413618 104519646 105502782 106579341 106631154 107686908 107719227 109496772 110526724 110983446 111708828 112848714 113178681 113966028 114299262 116268372 116608338 117798219 120649221 121022748 122161116 122665914 123086579 123467652 124727526 126916713 127746234 128507148 129480687 130326966 131617332 131656833 132960366 134276268 135646434 136533012 137097198 142105788 142521302 143110233 143625636 145515447 146956194 149925006 150904908 151454853 155120427 157064292 158254173 158744124 159288514 159946731 160865628 161530362 164245158 165790086 166475169 167563242 169222284 169273071 171448893 172640916 174402558 174912507 175542444 183241674 185201478 187035156 190813644 191619351 192760722 193421767 194020596 195490449 197425998 199440549 201414402 201939804 203469651 204799518 206827236 209039292 211005564 213158682 213262308 213781953 215438454 221966892 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2321061204 2330652366 2345885388 2369822994 2441635812 2473762599 2565383436 2698650108 2707904738 2719094427 2764793493 2792167686 2848575114 2867193252 2877642207 2984221548 3016138356 3055824387 3148425126 3257528967 3298350132 3323337633 3481591806 3518828082 3553667964 3625459236 3662453718 3686391324 3836856276 3848075154 4061857107 4074432516 4240735884 4272862671 4300789878 4343371956 4431116844 4476332322 4661304732 4722637689 4739645988 4947525198 5222387709 5278242123 5415809476 5438188854 5529586986 5584335372 5697150228 5755284414 5772112731 6111648774 6296850252 6451184817 6515057934 6646675266 6714498483 6963183612 7037656164 7324907436 7421287797 7696150308 8123714214 8157283281 8294380479 8545725342 8601579756 8952664644 9445275378 9772586901 9895050396 9970012899 10444775418 10556484246 10876377708 11059173972 11510568828 11544225462 12185571321 12223297548 12818588013 12902369634 13030115868 13293350532 13428996966 14842575594 15667163127 16247428428 16314566562 16588760958 17091450684 17316338193 18890550756 19353554451 19545173802 19940025798 20143495449 20889550836 21112968492 23088450924 24371142642 25637176026 25804739268 26857993932 29685151188 29910038697 31334326254 32629133124 33177521916 34632676386 36556713963 38707108902 39090347604 39880051596 40286990898 47001489381 48742285284 51274352052 51949014579 58060663353 59820077394 62668652508 69265352772 73113427926 77414217804 80573981796 89730116091 94002978762 103898029158 109670141889 116121326706 119640154788 141004468143 146226855852 179460232182 188005957524 207796058316 219340283778 232242653412 282008936286 329010425667 358920464364 438680567556 564017872572 658020851334 987031277001 1316041702668 1974062554002 3948125108004
- Sum of all divisors σ(n): 14946259104000
- Sum of proper divisors (its aliquot sum) s(n): 10998133995996
- 3948125108004 is an abundant number, because the sum of its proper divisors (10998133995996) is greater than itself. Its abundance is 7050008887992
Bases of 3948125108004
- Binary: 1110010111001111101001100000110111001001002
- Hexadecimal: 0x3973E983724
- Base-36: 1EDQRR290
Squares and roots of 3948125108004
- 3948125108004 squared (39481251080042) is 15587691868451596664864016
- 3948125108004 cubed (39481251080043) is 61542157641663532642712489361973184064
-
The
square root of 3948125108004 is 1986988.9551791675 -
The
cube root of 3948125108004 is 15805.0898359069
Scales and comparisons
How big is 3948125108004?- 3,948,125,108,004 seconds is equal to 125,538 years, 8 weeks, 4 days, 10 hours, 53 minutes, 24 seconds.
-
To count from 1 to 3,948,125,108,004 would take you about three hundred thirteen thousand, eight hundred forty-five 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 3948125108004 cubic inches would be around 1317.1 feet tall.
Recreational maths with 3948125108004
- 3948125108004 backwards is 4008015218493
- The number of decimal digits it has is: 13
- The sum of 3948125108004's digits is 45
- More coming soon!
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"Number 3948125108004 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 3948125108004 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/3948125108004/
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The information we have on file for 3948125108004 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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