212042001600
212,042,001,600 is an even composite number composed of six prime numbers multiplied together.
212042001600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 212042001600:
26 × 32 × 52 × 11 × 132 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 89 × 89)See below for interesting mathematical facts about the number 212042001600 from the Numbermatics database.
Names of 212042001600
- Cardinal: 212042001600 can be written as Two hundred twelve billion, forty-two million, one thousand, six hundred.
Scientific notation
- Scientific notation: 2.120420016 × 1011
Factors of 212042001600
Divisors of 212042001600
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 89 90 96 99 100 104 110 117 120 130 132 143 144 150 156 160 165 169 176 178 180 192 195 198 200 208 220 225 234 240 260 264 267 275 286 288 300 312 320 325 330 338 352 356 360 390 396 400 416 429 440 445 450 468 480 495 507 520 528 534 550 572 576 585 600 624 650 660 676 704 712 715 720 780 792 800 801 825 832 845 858 880 890 900 936 960 975 979 990 1014 1040 1056 1068 1100 1144 1157 1170 1200 1248 1287 1300 1320 1335 1352 1424 1430 1440 1521 1560 1584 1600 1602 1650 1690 1716 1760 1780 1800 1859 1872 1950 1958 1980 2028 2080 2112 2136 2145 2200 2225 2288 2314 2340 2400 2475 2496 2535 2574 2600 2640 2670 2704 2848 2860 2880 2925 2937 3042 3120 3168 3204 3300 3380 3432 3471 3520 3560 3575 3600 3718 3744 3900 3916 3960 4005 4056 4160 4225 4272 4290 4400 4450 4576 4628 4680 4800 4895 4950 5070 5148 5200 5280 5340 5408 5577 5696 5720 5785 5850 5874 6084 6240 6336 6408 6435 6600 6675 6760 6864 6942 7120 7150 7200 7436 7488 7605 7800 7832 7920 7921 8010 8112 8450 8544 8580 8800 8811 8900 9152 9256 9295 9360 9790 9900 10140 10296 10400 10413 10560 10680 10725 10816 11154 11440 11570 11700 11748 12168 12480 12675 12727 12816 12870 13200 13350 13520 13728 13884 14240 14300 14400 14685 14872 15041 15210 15600 15664 15840 15842 16020 16224 16731 16900 17088 17160 17355 17600 17622 17800 18512 18590 18720 19580 19800 20025 20280 20592 20800 20826 21360 21450 22308 22880 23140 23400 23496 23763 24336 24475 25350 25454 25632 25740 26400 26700 27040 27456 27768 27885 28480 28600 28925 29370 29744 30082 30420 31200 31328 31680 31684 32040 32175 32448 33462 33800 34320 34710 35244 35600 37024 37180 37440 38025 38181 39160 39600 39605 40050 40560 41184 41652 42720 42900 44055 44616 45123 45760 46280 46475 46800 46992 47526 48672 48950 50700 50908 51264 51480 52065 52800 53400 54080 55536 55770 57200 57850 58740 59488 60164 60840 62400 62656 63368 63635 64080 64350 66924 67600 68640 69420 70488 71200 71289 73425 74048 74360 75205 76050 76362 78320 79200 79210 80100 81120 82368 83304 83655 85440 85800 86775 87131 88110 89232 90246 92560 92950 93600 93984 95052 97344 97900 101400 101816 102960 102973 104130 106800 111072 111540 114400 114543 115700 117480 118815 118976 120328 121680 126736 127270 128160 128700 133848 135200 135369 137280 138840 139425 140976 142400 142578 146850 148720 150410 152100 152724 156640 158400 158420 160200 162240 165451 166608 167310 171600 173550 174262 176220 178464 180492 185120 185900 187200 187968 190104 190905 195800 198025 202800 203632 205920 205946 208260 213600 220275 222144 223080 225615 228800 229086 231400 234960 237630 240656 243360 253472 254540 256320 257400 260325 261393 267696 270400 270738 277680 278850 281952 285156 293700 297440 300820 304200 305448 308919 313280 316840 318175 320400 330902 333216 334620 343200 347100 348524 352440 356445 356928 360984 370240 371800 376025 380208 381810 391600 396050 405600 407264 411840 411892 416520 418275 427200 435655 440550 446160 451230 458172 462800 469920 475260 481312 486720 496353 506944 509080 514800 514865 520650 522786 535392 541476 555360 557700 563904 570312 572715 587400 594075 594880 601640 608400 610896 617838 633680 636350 640800 661804 666432 669240 676845 686400 694200 697048 704880 712890 721968 743600 752050 760416 763620 783200 784179 792100 811200 814528 823784 827255 833040 836550 871310 881100 892320 902460 916344 925600 926757 939840 950520 954525 962624 992706 1018160 1029600 1029730 1041300 1045572 1070784 1082952 1110720 1115400 1128075 1132703 1140624 1145430 1174800 1188150 1203280 1216800 1221792 1235676 1267360 1272700 1281600 1306965 1323608 1338480 1338649 1353690 1388400 1394096 1409760 1425780 1443936 1487200 1489059 1504100 1520832 1527240 1544595 1566400 1568358 1584200 1647568 1654510 1666080 1673100 1742620 1762200 1782225 1784640 1804920 1832688 1851200 1853514 1901040 1909050 1985412 2036320 2059200 2059460 2082600 2091144 2165904 2178275 2230800 2256150 2265406 2281248 2290860 2349600 2376300 2406560 2433600 2443584 2471352 2481765 2534720 2545400 2574325 2613930 2647216 2676960 2677298 2707380 2776800 2788192 2819520 2851560 2863575 2887872 2974400 2978118 3008200 3054480 3089190 3136716 3168400 3295136 3309020 3332160 3346200 3384225 3398109 3485240 3524400 3564450 3609840 3665376 3707028 3802080 3818100 3920895 3970824 4015947 4072640 4118920 4136275 4165200 4182288 4331808 4356550 4461600 4512300 4530812 4562496 4581720 4633785 4699200 4752600 4813120 4942704 4963530 5090800 5148650 5227860 5294432 5353920 5354596 5414760 5553600 5576384 5663515 5703120 5727150 5956236 6016400 6108960 6178380 6273432 6336800 6534825 6590272 6618040 6692400 6693245 6768450 6796218 6970480 7048800 7128900 7219680 7330752 7414056 7445295 7604160 7636200 7722975 7841790 7941648 8031894 8237840 8272550 8330400 8364576 8663616 8713100 8923200 9024600 9061624 9163440 9267570 9505200 9885408 9927060 10181600 10194327 10297300 10455720 10588864 10709192 10829520 11327030 11406240 11454300 11912472 12032800 12047841 12217920 12356760 12408825 12546864 12673600 13069650 13236080 13384800 13386490 13536900 13592436 13940960 14097600 14257800 14439360 14725139 14828112 14890590 15272400 15445950 15683580 15883296 16063788 16475680 16545100 16660800 16729152 16990545 17426200 18049200 18123248 18326880 18535140 19010400 19604475 19770816 19854120 20079735 20363200 20388654 20594600 20911440 21418384 21659040 22654060 22812480 22908600 23168925 23824944 24065600 24095682 24713520 24817650 25093728 26139300 26472160 26769600 26772980 27073800 27184872 27881920 28317575 28515600 29450278 29656224 29781180 30544800 30891900 31367160 31766592 32127576 32951360 33090200 33466225 33981090 34852400 36098400 36246496 36653760 37070280 37226475 38020800 39208950 39708240 40159470 40777308 41189200 41822880 42836768 43318080 44175417 45308120 45817200 46337850 47649888 48191364 49427040 49635300 50187456 50971635 52278600 52944320 53545960 54147600 54369744 56635150 57031200 58900556 59312448 59562360 60239205 61089600 61783800 62734320 64255152 66180400 66932450 67962180 69704800 72196800 72492992 73625695 74140560 74452950 78417900 79416480 80318940 81554616 82378400 83645760 84952725 85673536 88350834 90616240 91634400 92675700 95299776 96382728 98854080 99270600 100398675 101943270 104557200 107091920 108295200 108739488 113270300 114062400 117801112 119124720 120478410 123567600 125468640 128510304 132360800 132526251 133864900 135924360 139409600 147251390 148281120 148905900 156835800 158832960 160637880 163109232 164756800 169905450 176701668 181232480 183268800 185351400 192765456 198541200 200797350 203886540 209114400 214183840 216590400 217478976 220877085 226540600 235602224 238249440 240956820 247135200 250937280 254858175 257020608 264721600 265052502 267729800 271848720 294502780 296562240 297811800 301196025 313671600 321275760 326218464 339810900 353403336 362464960 368128475 370702800 385530912 397082400 401594700 407773080 418228800 428367680 441754170 453081200 471204448 476498880 481913640 494270400 509716350 530105004 535459600 543697440 589005560 595623600 602392050 627343200 642551520 652436928 662631255 679621800 706806672 736256950 741405600 771061824 794164800 803189400 815546160 883508340 906162400 942408896 963827280 1019432700 1060210008 1070919200 1087394880 1104385425 1178011120 1191247200 1204784100 1254686400 1285103040 1325262510 1359243600 1413613344 1472513900 1482811200 1606378800 1631092320 1767016680 1812324800 1927654560 2038865400 2120420016 2141838400 2208770850 2356022240 2382494400 2409568200 2650525020 2718487200 2827226688 2945027800 3212757600 3262184640 3313156275 3534033360 3855309120 4077730800 4240840032 4417541700 4712044480 4819136400 5301050040 5436974400 5890055600 6425515200 6626312550 7068066720 8155461600 8481680064 8835083400 9638272800 10602100080 11780111200 13252625100 14136133440 16310923200 17670166800 19276545600 21204200160 23560222400 26505250200 35340333600 42408400320 53010500400 70680667200 106021000800 212042001600
- Sum of all divisors σ(n): 900384136236
- Sum of proper divisors (its aliquot sum) s(n): 688342134636
- 212042001600 is an abundant number, because the sum of its proper divisors (688342134636) is greater than itself. Its abundance is 476300133036
Bases of 212042001600
- Binary: 110001010111101011000000101100110000002
- Hexadecimal: 0x315EB02CC0
- Base-36: 2PESBZK0
Squares and roots of 212042001600
- 212042001600 squared (2120420016002) is 44961810442534402560000
- 212042001600 cubed (2120420016003) is 9533792281794776495682564096000000
-
The
square root of 212042001600 is 460480.1858929437 -
The
cube root of 212042001600 is 5963.1257120597
Scales and comparisons
How big is 212042001600?- 212,042,001,600 seconds is equal to 6,742 years, 14 weeks, 3 days, 20 hours.
-
To count from 1 to 212,042,001,600 would take you about thirteen thousand, four hundred eighty-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 212042001600 cubic inches would be around 496.9 feet tall.
Recreational maths with 212042001600
- 212042001600 backwards is 006100240212
- 212042001600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 212042001600's digits is 18
- More coming soon!
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Numbermatics. (2024). Number 212042001600 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/212042001600/
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The information we have on file for 212042001600 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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