3948871427748
3,948,871,427,748 is an even composite number composed of seven prime numbers multiplied together.
3948871427748 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3948871427748:
22 × 34 × 13 × 23 × 37 × 683 × 1613
(2 × 2 × 3 × 3 × 3 × 3 × 13 × 23 × 37 × 683 × 1613)See below for interesting mathematical facts about the number 3948871427748 from the Numbermatics database.
Names of 3948871427748
- Cardinal: 3948871427748 can be written as Three trillion, nine hundred forty-eight billion, eight hundred seventy-one million, four hundred twenty-seven thousand, seven hundred forty-eight.
Scientific notation
- Scientific notation: 3.948871427748 × 1012
Factors of 3948871427748
Divisors of 3948871427748
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 23 26 27 36 37 39 46 52 54 69 74 78 81 92 108 111 117 138 148 156 162 207 222 234 276 299 324 333 351 414 444 468 481 598 621 666 683 702 828 851 897 962 999 1053 1196 1242 1332 1366 1404 1443 1613 1702 1794 1863 1924 1998 2049 2106 2484 2553 2691 2732 2886 2997 3226 3404 3588 3726 3996 4098 4212 4329 4839 5106 5382 5772 5994 6147 6452 7452 7659 8073 8196 8658 8879 9678 10212 10764 11063 11988 12294 12987 14517 15318 15709 16146 17316 17758 18441 19356 20969 22126 22977 24219 24588 25271 25974 26637 29034 30636 31418 32292 33189 35516 36882 37099 38961 41938 43551 44252 45954 47127 48438 50542 51948 53274 55323 58068 59681 62836 62907 66378 68931 73764 74198 75813 77922 79911 83876 87102 91908 94254 96876 99567 101084 106548 110646 111297 119362 125814 130653 132756 137862 141381 148396 151626 155844 159822 174204 179043 188508 188721 199134 204217 221292 222594 227439 238724 239733 251628 261306 275724 282762 298701 303252 319644 328523 333891 358086 377442 398268 408434 424143 445188 454878 479466 482287 522612 537129 565524 566163 581233 597402 612651 657046 667782 682317 716172 719199 754884 775853 816868 848286 896103 909756 958932 964574 985569 1001673 1074258 1101679 1132326 1162466 1194804 1225302 1272429 1314092 1335564 1364634 1372663 1438398 1446861 1551706 1611387 1696572 1698489 1743699 1792206 1837953 1929148 1971138 2003346 2046951 2148516 2203358 2264652 2324932 2327559 2450604 2544858 2729268 2745326 2876796 2893722 2956707 3005019 3103412 3222774 3305037 3396978 3487398 3584412 3675906 3942276 4006692 4093902 4117989 4340583 4406716 4655118 4834161 5089716 5231097 5490652 5513859 5787444 5913414 6010038 6445548 6610074 6793956 6974796 6982677 7351812 7556029 8187804 8235978 8681166 8870121 9310236 9668322 9915111 10462194 11027718 11826828 12020076 12353967 13021749 13220148 13965354 14321827 15112058 15693291 16471956 16541577 17362332 17740242 17844619 19336644 19830222 20924388 20948031 22055436 22668087 24707934 25338617 26043498 26610363 27930708 28643654 29745333 30224116 31386582 33083154 35480484 35689238 37061901 39065247 39660444 40762123 41896062 42965481 45336174 47079873 49415868 50677234 52086996 53220726 53533857 57287308 59490666 62773164 62844093 66166308 68004261 71378476 74123802 76015851 78130494 81524246 83792124 85930962 89235999 90672348 94159746 101354468 106441452 107067714 111185703 118981332 122286369 125688186 128896443 136008522 148247604 152031702 156260988 160601571 163048492 171861924 178471998 188319492 204012783 214135428 222371406 228047553 244572738 251376372 257792886 272017044 304063404 321203142 329402021 356943996 366859107 386689329 408025566 444742812 456095106 481804713 489145476 515585772 529907599 612038349 642406284 658804042 684142659 733718214 773378658 816051132 912190212 937528829 963609426 988206063 1059815198 1100577321 1160067987 1224076698 1317608084 1368285318 1445414139 1467436428 1546757316 1589722797 1875057658 1927218852 1976412126 2052427977 2119630396 2201154642 2320135974 2448153396 2736570636 2812586487 2890828278 2964618189 3179445594 3301731963 3750115316 3952824252 4104855954 4402309284 4640271948 4769168391 5625172974 5781656556 5929236378 6358891188 6603463926 8209711908 8437759461 8893854567 9538336782 11250345948 11858472756 12187874777 13206927852 14307505173 16875518922 17787709134 19076673564 24375749554 25313278383 26681563701 28615010346 33751037844 35575418268 36563624331 42922515519 48751499108 50626556766 53363127402 57230020692 73127248662 75939835149 85845031038 101253113532 106726254804 109690872993 146254497324 151879670298 171690062076 219381745986 303759340596 329072618979 438763491972 658145237958 987217856937 1316290475916 1974435713874 3948871427748
- Sum of all divisors σ(n): 11938944036096
- Sum of proper divisors (its aliquot sum) s(n): 7990072608348
- 3948871427748 is an abundant number, because the sum of its proper divisors (7990072608348) is greater than itself. Its abundance is 4041201180600
Bases of 3948871427748
- Binary: 1110010111011010110001010000100110101001002
- Hexadecimal: 0x3976B1426A4
- Base-36: 1EE343A90
Squares and roots of 3948871427748
- 3948871427748 squared (39488714277482) is 15593585552884527984351504
- 3948871427748 cubed (39488714277483) is 61577064445929711981345184202371132992
-
The
square root of 3948871427748 is 1987176.7479889655 -
The
cube root of 3948871427748 is 15806.0856594185
Scales and comparisons
How big is 3948871427748?- 3,948,871,427,748 seconds is equal to 125,561 years, 46 weeks, 4 days, 9 hours, 55 minutes, 48 seconds.
-
To count from 1 to 3,948,871,427,748 would take you about three hundred thirteen thousand, nine hundred four 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 3948871427748 cubic inches would be around 1317.2 feet tall.
Recreational maths with 3948871427748
- 3948871427748 backwards is 8477241788493
- The number of decimal digits it has is: 13
- The sum of 3948871427748's digits is 72
- More coming soon!
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