42048168120
42,048,168,120 is an even composite number composed of seven prime numbers multiplied together.
42048168120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42048168120:
23 × 33 × 5 × 72 × 192 × 31 × 71
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 31 × 71)See below for interesting mathematical facts about the number 42048168120 from the Numbermatics database.
Names of 42048168120
- Cardinal: 42048168120 can be written as Forty-two billion, forty-eight million, one hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.204816812 × 1010
Factors of 42048168120
Divisors of 42048168120
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 27 28 30 31 35 36 38 40 42 45 49 54 56 57 60 62 63 70 71 72 76 84 90 93 95 98 105 108 114 120 124 126 133 135 140 142 147 152 155 168 171 180 186 189 190 196 210 213 216 217 228 245 248 252 266 270 279 280 284 285 294 310 315 342 355 360 361 372 378 380 392 399 420 426 434 441 456 465 490 497 504 513 532 540 558 568 570 588 589 620 630 639 651 665 684 710 722 735 744 756 760 798 837 840 852 855 868 882 930 931 945 980 994 1026 1064 1065 1080 1083 1085 1116 1140 1176 1178 1197 1240 1260 1278 1302 1323 1330 1349 1368 1395 1420 1444 1470 1491 1512 1519 1596 1674 1704 1710 1736 1764 1767 1805 1860 1862 1890 1917 1953 1960 1988 1995 2052 2130 2166 2170 2201 2205 2232 2280 2356 2394 2485 2520 2527 2556 2565 2604 2646 2660 2698 2790 2793 2840 2888 2940 2945 2982 3038 3192 3195 3249 3255 3348 3420 3479 3528 3534 3591 3610 3720 3724 3780 3834 3906 3976 3990 4047 4104 4123 4185 4260 4332 4340 4402 4410 4473 4557 4655 4712 4788 4970 5054 5112 5130 5208 5292 5301 5320 5396 5415 5580 5586 5859 5880 5890 5964 5985 6076 6390 6498 6510 6603 6615 6696 6745 6840 6958 7068 7182 7220 7448 7455 7560 7581 7595 7668 7812 7980 8094 8246 8370 8379 8520 8664 8680 8804 8820 8835 8946 9114 9310 9443 9576 9585 9747 9765 9940 10108 10260 10437 10584 10602 10792 10830 11005 11160 11172 11191 11718 11780 11928 11970 12141 12152 12369 12635 12780 12996 13020 13206 13230 13419 13490 13671 13916 13965 14136 14364 14440 14910 15162 15190 15336 15407 15624 15903 15960 16188 16245 16492 16740 16758 17395 17608 17640 17670 17689 17892 17955 18228 18620 18886 19170 19494 19530 19809 19880 20216 20235 20520 20615 20874 21204 21660 22010 22344 22365 22382 22743 22785 23436 23560 23940 24282 24738 25137 25270 25560 25631 25992 26040 26412 26460 26505 26838 26980 27342 27832 27930 28329 28728 28861 29295 29820 30324 30380 30814 31311 31806 32376 32490 32984 33015 33480 33516 33573 34790 35340 35378 35784 35910 36423 36456 37107 37240 37772 37905 38340 38988 39060 39618 40470 41013 41230 41748 41819 41895 42408 43320 44020 44730 44764 45486 45570 46221 46872 47215 47880 48564 48735 49476 50274 50540 51262 52185 52824 52920 53010 53067 53676 53960 54684 55860 55955 56658 57722 58590 59427 59640 60648 60705 60760 61628 61845 62622 63612 64980 66030 66101 67032 67095 67146 68229 68355 69580 70680 70756 71820 72846 74214 75544 75810 76680 76893 77035 77976 78120 78337 79236 79515 80940 82026 82460 83496 83638 83790 84987 86583 88040 88445 89460 89528 90972 91140 92442 93933 94430 97128 97470 98952 99045 100548 100719 101080 102524 104370 106020 106134 107352 107849 109368 111321 111720 111910 113316 113715 115444 117180 118854 121410 123256 123690 125244 125457 125685 127224 128155 129960 132060 132202 134190 134292 136458 136710 138663 139160 141512 141645 143640 144305 145692 148428 151620 153786 154070 156555 156674 158472 159030 159201 161880 164052 164920 167276 167580 167865 169974 173166 176890 178920 179417 181944 182115 182280 184884 185535 187866 188860 194940 198090 198303 201096 201438 205048 205065 208740 209095 212040 212268 215698 222642 223820 226632 227430 230679 230888 231105 234360 235011 237708 242820 247380 250488 250914 251370 254961 256310 259749 264120 264404 265335 268380 268584 272916 273420 277326 283290 288610 291384 292733 296856 297135 302157 303240 307572 308140 313110 313348 318060 318402 323547 328104 330505 334552 335160 335730 339948 341145 346332 353780 358834 364230 369768 371070 375732 376371 377720 384465 389880 391685 396180 396606 402876 410130 415989 417480 418190 424536 424935 431396 432915 445284 447640 454860 461358 462210 469665 470022 475416 477603 485640 494760 501828 502740 503595 509922 512620 519498 528808 530670 536760 538251 539245 545832 546840 548359 554652 556605 566580 577220 585466 594270 594909 604314 615144 616280 626220 626696 627285 636120 636804 647094 661010 671460 679896 682290 692037 692664 693315 705033 707560 717668 728460 742140 751464 752742 768930 779247 783370 792360 793212 794561 796005 805752 820260 831978 836380 849870 862792 865830 878199 890568 897085 909720 922716 924420 939330 940044 955206 970641 991515 1003656 1005480 1007190 1019844 1025240 1038996 1061340 1076502 1078490 1096718 1109304 1113210 1129113 1133160 1153395 1154440 1170932 1175055 1188540 1189818 1208628 1252440 1254570 1255919 1273608 1274805 1294188 1298745 1322020 1342920 1364580 1384074 1386630 1410066 1435336 1456920 1463665 1484280 1505484 1510785 1537860 1558494 1566740 1586424 1589122 1592010 1614753 1617735 1640520 1645077 1663956 1672760 1699740 1731660 1756398 1784727 1794170 1845432 1848840 1878660 1880088 1881855 1910412 1941282 1983030 2014380 2039688 2049131 2077992 2079945 2115099 2122680 2153004 2156980 2193436 2226420 2258226 2306790 2341864 2350110 2377080 2379636 2383683 2388015 2417256 2509140 2511838 2549610 2588376 2597490 2634597 2644040 2691255 2729160 2741795 2768148 2773260 2820132 2911923 2927330 2974545 3010968 3021570 3075720 3116988 3133480 3178244 3184020 3229506 3235470 3290154 3327912 3399480 3460185 3463320 3512796 3525165 3569454 3588340 3757320 3763710 3767757 3820824 3882564 3896235 3966060 3972805 4028760 4098262 4159890 4230198 4306008 4313960 4386872 4390995 4452840 4516452 4613580 4700220 4759272 4767366 4776030 4844259 4853205 4935231 5018280 5023676 5099220 5194980 5269194 5382510 5483590 5536296 5546520 5561927 5640264 5645565 5823846 5854660 5949090 6043140 6147393 6233976 6279595 6356488 6368040 6459012 6470940 6580308 6920370 7025592 7050330 7138908 7151049 7176680 7527420 7535514 7765128 7792470 7903791 7932120 7945610 8073765 8196524 8225385 8319780 8460396 8781990 8923635 9032904 9227160 9400440 9534732 9552060 9688518 9706410 9870462 10047352 10198440 10245655 10389960 10538388 10575495 10765020 10967180 11123854 11291130 11303271 11647692 11709320 11898180 11918415 12086280 12294786 12559190 12918024 12941880 13160616 13172985 13840740 14100660 14277816 14302098 14559615 14805693 15054840 15071028 15584940 15807582 15891220 16147530 16393048 16450770 16639560 16685781 16920792 17563980 17847270 18442179 18838785 19069464 19104120 19377036 19412820 19740924 20491310 21076776 21150990 21453147 21530040 21934360 22247708 22582260 22606542 23295384 23796360 23836830 24221295 24589572 24676155 25118380 26345970 27681480 27809635 28201320 28604196 29119230 29611386 30142056 30736965 31169880 31615164 31782440 32295060 32901540 33371562 33909813 35127960 35694540 35755245 36884358 37677570 38754072 38825640 38933489 39481848 39518955 40982620 42301980 42906294 44495416 45164520 45213084 47673660 48442590 49179144 49352310 50057343 50236760 52691940 55326537 55619270 56516355 57208392 58238460 59222772 61473930 63230328 64590120 65803080 66743124 67819626 71389080 71510490 73768716 74028465 75355140 77866978 79037910 81965240 83428905 84603960 85812588 90426168 92210895 95347320 96885180 98704620 100114686 105383880 107265735 110653074 111238540 113032710 116476920 116800467 118445544 122947860 133486248 135639252 143020980 147537432 148056930 150172029 150710280 155733956 158075820 166857810 169549065 171625176 184421790 193770360 194667445 197409240 200229372 214531470 221306148 222477080 226065420 233600934 245895720 250286715 271278504 276632685 286041960 296113860 300344058 311467912 316151640 333715620 339098130 350401401 368843580 389334890 400458744 429062940 442612296 452130840 467201868 500573430 553265370 584002335 592227720 600688116 667431240 678196260 700802802 737687160 750860145 778669780 858125880 934403736 1001146860 1051204203 1106530740 1168004670 1201376232 1356392520 1401605604 1501720290 1557339560 1752007005 2002293720 2102408406 2213061480 2336009340 2803211208 3003440580 3504014010 4204816812 4672018680 5256021015 6006881160 7008028020 8409633624 10512042030 14016056040 21024084060 42048168120
- Sum of all divisors σ(n): 180129484800
- Sum of proper divisors (its aliquot sum) s(n): 138081316680
- 42048168120 is an abundant number, because the sum of its proper divisors (138081316680) is greater than itself. Its abundance is 96033148560
Bases of 42048168120
- Binary: 1001110010100100010000100000101110002
- Hexadecimal: 0x9CA4420B8
- Base-36: JBEE660
Squares and roots of 42048168120
- 42048168120 squared (420481681202) is 1768048442247784334400
- 42048168120 cubed (420481681203) is 74343198143938946390353499328000
-
The
square root of 42048168120 is 205056.4998238289 -
The
cube root of 42048168120 is 3477.3549758519
Scales and comparisons
How big is 42048168120?- 42,048,168,120 seconds is equal to 1,337 years, 14 hours, 42 minutes.
-
To count from 1 to 42,048,168,120 would take you about two thousand, six hundred seventy-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 42048168120 cubic inches would be around 289.8 feet tall.
Recreational maths with 42048168120
- 42048168120 backwards is 02186184024
- 42048168120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42048168120's digits is 36
- More coming soon!
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The information we have on file for 42048168120 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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