2117187072
2,117,187,072 is an even composite number composed of six prime numbers multiplied together.
2117187072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 2117187072:
29 × 35 × 7 × 11 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 17)See below for interesting mathematical facts about the number 2117187072 from the Numbermatics database.
Names of 2117187072
- Cardinal: 2117187072 can be written as Two billion, one hundred seventeen million, one hundred eighty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 2.117187072 × 109
Factors of 2117187072
Divisors of 2117187072
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 27 28 32 33 34 36 39 42 44 48 51 52 54 56 63 64 66 68 72 77 78 81 84 88 91 96 99 102 104 108 112 117 119 126 128 132 136 143 144 153 154 156 162 168 176 182 187 189 192 198 204 208 216 221 224 231 234 238 243 252 256 264 272 273 286 288 297 306 308 312 324 336 351 352 357 364 374 378 384 396 408 416 429 432 442 448 459 462 468 476 486 504 512 528 544 546 561 567 572 576 594 612 616 624 648 663 672 693 702 704 714 728 748 756 768 792 816 819 832 858 864 884 891 896 918 924 936 952 972 1001 1008 1053 1056 1071 1088 1092 1122 1134 1144 1152 1188 1224 1232 1248 1287 1296 1309 1326 1344 1377 1386 1404 1408 1428 1456 1496 1512 1536 1547 1584 1632 1638 1664 1683 1701 1716 1728 1768 1782 1792 1836 1848 1872 1904 1944 1989 2002 2016 2079 2106 2112 2142 2176 2184 2244 2268 2288 2304 2376 2431 2448 2457 2464 2496 2574 2592 2618 2652 2673 2688 2754 2772 2808 2816 2856 2912 2992 3003 3024 3094 3159 3168 3213 3264 3276 3328 3366 3402 3432 3456 3536 3564 3584 3672 3696 3744 3808 3861 3888 3927 3978 4004 4032 4131 4158 4212 4224 4284 4352 4368 4488 4536 4576 4608 4641 4752 4862 4896 4914 4928 4992 5049 5148 5184 5236 5304 5346 5376 5508 5544 5616 5632 5712 5824 5967 5984 6006 6048 6188 6237 6318 6336 6426 6528 6552 6656 6732 6804 6864 6912 7072 7128 7293 7344 7371 7392 7488 7616 7722 7776 7854 7956 8008 8064 8262 8316 8424 8448 8568 8704 8736 8976 9009 9072 9152 9282 9504 9639 9724 9792 9828 9856 9984 10098 10296 10368 10472 10608 10692 10752 11016 11088 11232 11424 11583 11648 11781 11934 11968 12012 12096 12376 12474 12636 12672 12852 13056 13104 13464 13608 13728 13824 13923 14144 14256 14586 14688 14742 14784 14976 15147 15232 15444 15552 15708 15912 16016 16128 16524 16632 16848 16896 17017 17136 17472 17901 17952 18018 18144 18304 18564 18711 19008 19278 19448 19584 19656 19712 19968 20196 20592 20736 20944 21216 21384 21879 22032 22113 22176 22464 22848 23166 23296 23562 23868 23936 24024 24192 24752 24948 25272 25344 25704 26112 26208 26928 27027 27216 27456 27846 28288 28512 28917 29172 29376 29484 29568 29952 30294 30464 30888 31104 31416 31824 32032 32256 33048 33264 33696 34034 34272 34749 34944 35343 35802 35904 36036 36288 36608 37128 37422 38016 38556 38896 39168 39312 39424 40392 41184 41472 41769 41888 42432 42768 43758 44064 44226 44352 44928 45441 45696 46332 46592 47124 47736 47872 48048 48384 49504 49896 50544 50688 51051 51408 52416 53703 53856 54054 54432 54912 55692 56576 57024 57834 58344 58752 58968 59136 59904 60588 60928 61776 62208 62832 63648 64064 65637 66096 66528 67392 68068 68544 69498 69888 70686 71604 71808 72072 72576 73216 74256 74844 76032 77112 77792 78336 78624 80784 81081 82368 83538 83776 84864 85536 87516 88128 88452 88704 89856 90882 91392 92664 94248 95472 95744 96096 96768 99008 99792 101088 102102 102816 104832 106029 107406 107712 108108 108864 109824 111384 113152 114048 115668 116688 117504 117936 118272 121176 123552 124416 125307 125664 127296 128128 131274 132192 133056 134784 136136 137088 138996 139776 141372 143208 143616 144144 145152 148512 149688 152064 153153 154224 155584 157248 161568 162162 164736 167076 167552 169728 171072 175032 176256 176904 177408 179712 181764 182784 185328 188496 190944 192192 196911 198016 199584 202176 204204 205632 209664 212058 214812 215424 216216 217728 219648 222768 228096 231336 233376 235008 235872 242352 243243 247104 250614 251328 254592 256256 262548 264384 266112 269568 272272 274176 277992 282744 286416 287232 288288 290304 297024 299376 306306 308448 311168 314496 318087 323136 324324 329472 334152 335104 339456 342144 350064 352512 353808 354816 363528 370656 375921 376992 381888 384384 393822 396032 399168 404352 408408 411264 419328 424116 429624 430848 432432 435456 445536 456192 459459 462672 466752 471744 484704 486486 494208 501228 502656 509184 512512 525096 528768 532224 539136 544544 548352 555984 565488 572832 576576 590733 594048 598752 612612 616896 622336 628992 636174 646272 648648 658944 668304 670208 684288 700128 705024 707616 727056 741312 751842 753984 763776 768768 787644 792064 798336 808704 816816 822528 848232 859248 861696 864864 870912 891072 918918 925344 933504 943488 969408 972972 988416 1002456 1005312 1018368 1050192 1057536 1064448 1089088 1111968 1130976 1145664 1153152 1181466 1188096 1197504 1225224 1233792 1244672 1257984 1272348 1292544 1297296 1336608 1368576 1378377 1400256 1415232 1454112 1482624 1503684 1507968 1527552 1537536 1575288 1596672 1617408 1633632 1645056 1696464 1718496 1729728 1782144 1837836 1850688 1867008 1886976 1938816 1945944 1976832 2004912 2010624 2100384 2115072 2178176 2223936 2261952 2291328 2306304 2362932 2376192 2395008 2450448 2467584 2544696 2585088 2594592 2673216 2756754 2800512 2830464 2908224 2965248 3007368 3015936 3055104 3150576 3193344 3267264 3392928 3436992 3459456 3564288 3675672 3701376 3734016 3773952 3877632 3891888 4009824 4135131 4200768 4356352 4447872 4523904 4582656 4612608 4725864 4790016 4900896 4935168 5089392 5189184 5346432 5513508 5601024 5660928 5816448 5930496 6014736 6031872 6301152 6534528 6785856 6873984 6918912 7128576 7351344 7402752 7755264 7783776 8019648 8270262 8401536 8712704 8895744 9047808 9165312 9451728 9580032 9801792 10178784 10378368 10692864 11027016 11202048 11321856 11632896 12029472 12602304 13069056 13571712 13747968 13837824 14702688 14805504 15567552 16039296 16540524 16803072 17791488 18095616 18903456 19603584 20357568 20756736 21385728 22054032 23265792 24058944 25204608 26138112 27143424 27495936 29405376 31135104 32078592 33081048 33606144 37806912 39207168 40715136 41513472 44108064 48117888 50409216 54286848 58810752 62270208 64157184 66162096 75613824 78414336 81430272 88216128 96235776 100818432 117621504 124540416 132324192 151227648 162860544 176432256 192471552 235243008 264648384 302455296 352864512 529296768 705729024 1058593536 2117187072
- Sum of all divisors σ(n): 9008423424
- Sum of proper divisors (its aliquot sum) s(n): 6891236352
- 2117187072 is an abundant number, because the sum of its proper divisors (6891236352) is greater than itself. Its abundance is 4774049280
Bases of 2117187072
- Binary: 11111100011000110110110000000002
- Hexadecimal: 0x7E31B600
- Base-36: Z0IO00
Squares and roots of 2117187072
- 2117187072 squared (21171870722) is 4482481097843933184
- 2117187072 cubed (21171870723) is 9490251030839542410796597248
-
The
square root of 2117187072 is 46012.9011473959 -
The
cube root of 2117187072 is 1284.0632338497
Scales and comparisons
How big is 2117187072?- 2,117,187,072 seconds is equal to 67 years, 16 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 2,117,187,072 would take you about one hundred thirty-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 2117187072 cubic inches would be around 107 feet tall.
Recreational maths with 2117187072
- 2117187072 backwards is 2707817112
- 2117187072 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 2117187072's digits is 36
- More coming soon!
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The information we have on file for 2117187072 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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