42027648113920
42,027,648,113,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42027648113920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
42027648113920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42027648113920:
28 × 5 × 7 × 19 × 31 × 432 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 31 × 43 × 43 × 59 × 73)See below for interesting mathematical facts about the number 42027648113920 from the Numbermatics database.
Names of 42027648113920
- Cardinal: 42027648113920 can be written as Forty-two trillion, twenty-seven billion, six hundred forty-eight million, one hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.202764811392 × 1013
Factors of 42027648113920
Divisors of 42027648113920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 31 32 35 38 40 43 56 59 62 64 70 73 76 80 86 95 112 118 124 128 133 140 146 152 155 160 172 190 215 217 224 236 248 256 266 280 292 295 301 304 310 320 344 365 380 413 430 434 448 472 496 511 532 560 584 589 590 602 608 620 640 665 688 730 760 817 826 860 868 896 944 992 1022 1064 1085 1120 1121 1168 1178 1180 1204 1216 1240 1280 1330 1333 1376 1387 1460 1505 1520 1634 1652 1720 1736 1792 1829 1849 1888 1984 2044 2065 2128 2170 2240 2242 2263 2336 2356 2360 2408 2432 2480 2537 2555 2660 2666 2752 2774 2920 2945 3010 3040 3139 3268 3304 3440 3472 3658 3698 3776 3968 4085 4088 4123 4130 4256 4307 4340 4480 4484 4526 4672 4712 4720 4816 4864 4960 5074 5110 5320 5332 5504 5548 5605 5719 5840 5890 6020 6080 6278 6536 6608 6665 6880 6935 6944 7316 7396 7552 7847 7936 8170 8176 8246 8260 8512 8614 8680 8960 8968 9052 9145 9245 9331 9344 9424 9440 9632 9709 9920 10148 10220 10640 10664 11008 11096 11210 11315 11438 11680 11780 12040 12160 12556 12685 12803 12943 13072 13216 13330 13760 13870 13888 14632 14792 15104 15694 15695 15841 16340 16352 16492 16520 17024 17228 17360 17759 17936 18104 18290 18490 18662 18688 18848 18880 19264 19418 19840 20296 20440 20615 21280 21328 21535 21973 22192 22420 22630 22876 23360 23560 24080 24320 25112 25327 25370 25606 25886 26144 26432 26660 27520 27740 27776 28595 29264 29584 30149 31388 31390 31682 32680 32704 32984 33040 34048 34456 34720 34751 35131 35518 35872 36208 36580 36980 37324 37696 37760 38528 38836 39235 39680 40592 40880 41230 42560 42656 42997 43070 43946 44384 44840 45260 45752 46655 46720 47120 48160 48203 48545 50224 50654 50740 51212 51772 52288 52864 53320 55040 55480 55552 57190 57319 58528 59168 59641 60298 62776 62780 63364 64015 64715 65360 65408 65968 66080 68912 69440 69502 70262 71036 71744 72416 73160 73960 74648 75392 75520 77056 77672 78470 78647 79205 81184 81760 81833 82460 85120 85312 85994 86140 87892 88768 88795 89680 90520 91504 93310 93440 94240 96320 96406 97090 97309 100448 101308 101480 102424 103544 104576 105728 106640 109091 109865 110960 114380 114638 117056 118336 119282 120596 125552 125560 126635 126728 128030 129430 130720 130816 131936 132160 133517 134977 137824 138880 139004 140524 142072 143488 144832 146320 147920 149296 150745 150784 155344 156940 157294 158410 162368 163520 163666 164920 170240 170624 171988 172280 173755 175655 175784 177289 177536 177590 179360 181040 183008 185201 186620 188480 192640 192812 194180 194618 200896 202616 202960 204848 207088 209152 213280 214985 218182 219730 221920 228760 229276 234112 236672 238564 241015 241192 243257 245917 251104 251120 253270 253456 256060 258860 261440 263872 264320 267034 269954 275648 277760 278008 281048 284144 286595 286976 289664 292640 295840 298205 298592 300979 301490 310688 313880 314588 316820 324736 327040 327332 329840 337421 341248 343976 344560 347510 351310 351568 354578 355072 355180 358720 362080 366016 370402 373240 376960 385280 385624 388360 389236 393235 401233 401792 405232 405920 409165 409696 414176 417487 426560 429970 436364 439460 443840 457520 458552 468224 473344 477128 482030 482384 486514 486545 491834 502208 502240 506540 506912 512120 517720 522880 527744 528640 534068 539908 545455 550529 551296 556016 562096 568288 572831 573190 579328 585280 591680 596410 597184 601958 602980 621376 627760 629176 633640 649472 654080 654664 659680 667585 674842 674885 681163 687952 689120 695020 702620 703136 709156 710360 717440 724160 732032 740804 746480 753920 763637 771248 776720 778472 786470 802466 803584 810464 811840 818330 819392 828352 834974 853120 859940 872728 878920 886445 887680 915040 917104 926005 934619 944839 954256 964060 964768 973028 973090 983668 1004416 1004480 1013080 1013824 1024240 1035440 1045760 1055488 1068136 1079816 1089061 1090910 1101058 1102592 1112032 1124192 1136576 1145662 1146380 1170560 1183360 1192820 1194368 1203916 1205960 1216285 1229585 1242752 1255520 1258352 1267280 1296407 1309328 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159002906 159272860 160754468 162356672 164132032 165818320 165940096 167360816 167371480 170901760 172770560 174249760 174377728 176169280 177577610 179519410 183305920 183719392 189381976 191269504 192626560 195491072 197053864 200943085 202945840 205165040 207073552 207425120 209201020 215949440 216436544 217972160 218166778 222982004 225204416 226929920 229649240 232145648 234320072 236655488 236727470 237057280 239086880 239262464 241878784 243949664 244363840 246317330 246872933 254836576 256789120 257018396 258841940 265309312 267191680 267794368 270545680 278727505 278799616 281505520 284124176 287231056 290182060 292900090 295819360 299078080 302348480 302618434 304937080 311368960 314773760 318005812 318545720 321272995 321508936 324713344 328264064 331636640 331880192 334721632 334742960 348499520 352338560 355155220 359038820 366611840 367438784 378763952 382539008 385253120 394107728 397507265 401886170 405891680 410330080 414147104 414850240 418402040 431898880 432873088 435944320 436333556 445964008 449782193 450408832 459298480 464291296 468640144 473310976 473454940 478173760 487899328 488727680 492634660 493745866 509673152 513578240 514036792 517683880 530618624 534383360 535588736 541091360 545416945 556510171 557455010 563011040 568248352 574462112 580364120 585800180 591638720 598156160 604696960 605236868 609874160 636011624 637091440 642545990 643017872 649426688 656528128 663273280 669443264 669485920 696999040 704677120 710310440 718077640 733223680 734877568 756546085 757527904 763583723 788215456 795014530 803772340 811783360 820660160 828294208 829700480 836804080 865746176 871888640 872667112 891928016 899564386 900817664 918596960 928582592 937280288 946909880 956347520 975798656 977455360 985269320 987491732 1019346304 1028073584 1035367760 1059164519 1071177472 1082182720 1090833890 1113020342 1114910020 1126022080 1136496704 1148924224 1160728240 1171600360 1183277440 1196312320 1209393920 1210473736 1219748320 1234364665 1272023248 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4545986816 4595696896 4642912960 4686401440 4690585727 4841894944 4878993280 4937458660 5088092992 5096731520 5140367920 5144142976 5295822595 5355887360 5565101710 5682483520 5744621120 6052368680 6060223232 6108669784 6305723648 6360116240 6430178720 6694432640 6912442124 6981336896 7135424128 7196515088 7348775680 7498242304 7575279040 7635837230 7882154560 7899933856 8224588672 8282942080 8473316152 8640552655 8726671120 8904162736 8919280160 8995643860 9285825920 9372802880 9381171454 9683789888 9757986560 9874917320 10176185984 10193463040 10280735840 10288285952 10591645190 11130203420 11364967040 11489242240 12104737360 12217339568 12720232480 12860357440 13388865280 13824884248 13962673792 14270848256 14393030176 15150558080 15271674460 15764309120 15799867712 16449177344 16565884160 16946632304 17281105310 17453342240 17808325472 17838560320 17991287720 18571651840 18745605760 18762342908 19367579776 19749834640 20352371968 20561471680 21183290380 22260406840 22729934080 22978484480 23452928635 24209474720 24434679136 25440464960 25720714880 27649768496 27925347584 28786060352 30301116160 30543348920 31528618240 31599735424 32834100089 33893264608 34562210620 34906684480 35616650944 35677120640 35982575440 37491211520 37524685816 38735159552 39499669280 41122943360 42366580760 44520813680 46905857270 48418949440 48869358272 50880929920 51441429760 55299536992 57572120704 61086697840 63199470848 65668200178 67786529216 69124421240 69813368960 71233301888 71354241280 71965150880 75049371632 78999338560 82245886720 84733161520 89041627360 93811714540 96837898880 97738716544 101761859840 110599073984 115144241408 122173395680 131336400356 135573058432 138248842480 139626737920 142466603776 143930301760 150098743264 157998677120 164170500445 169466323040 178083254720 187623429080 193675797760 195477433088 221198147968 244346791360 262672800712 271146116864 276497684960 287860603520 300197486528 315997354240 328341000890 338932646080 356166509440 375246858160 442396295936 488693582720 525345601424 552995369920 575721207040 600394973056 656682001780 677865292160 712333018880 750493716320 977387165440 1050691202848 1105990739840 1200789946112 1313364003560 1355730584320 1500987432640 2101382405696 2211981479680 2626728007120 3001974865280 4202764811392 5253456014240 6003949730560 8405529622784 10506912028480 21013824056960 42027648113920
- Sum of all divisors σ(n): 131939761766400
- Sum of proper divisors (its aliquot sum) s(n): 89912113652480
- 42027648113920 is an abundant number, because the sum of its proper divisors (89912113652480) is greater than itself. Its abundance is 47884465538560
Bases of 42027648113920
- Binary: 10011000111001010100110000100101011101000000002
- Hexadecimal: 0x263953095D00
- Base-36: EWB8GKCN4
Squares and roots of 42027648113920
- 42027648113920 squared (420276481139202) is 1766323205987483333297766400
- 42027648113920 cubed (420276481139203) is 74234410156692981563799306774708748288000
-
The
square root of 42027648113920 is 6482873.4457738723 -
The
cube root of 42027648113920 is 34767.8922028311
Scales and comparisons
How big is 42027648113920?- 42,027,648,113,920 seconds is equal to 1,336,349 years, 10 weeks, 6 days, 10 hours, 18 minutes, 40 seconds.
-
To count from 1 to 42,027,648,113,920 would take you about three million, three hundred forty thousand, eight hundred seventy-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 42027648113920 cubic inches would be around 2897.3 feet tall.
Recreational maths with 42027648113920
- 42027648113920 backwards is 02931184672024
- The number of decimal digits it has is: 14
- The sum of 42027648113920's digits is 49
- More coming soon!
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"Number 42027648113920 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42027648113920 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42027648113920/
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The information we have on file for 42027648113920 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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