4098216220417440
4,098,216,220,417,440 is an even composite number composed of six prime numbers multiplied together.
4098216220417440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 4098216220417440:
25 × 32 × 5 × 112 × 521 × 67192
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 521 × 6719 × 6719)See below for interesting mathematical facts about the number 4098216220417440 from the Numbermatics database.
Names of 4098216220417440
- Cardinal: 4098216220417440 can be written as Four quadrillion, ninety-eight trillion, two hundred sixteen billion, two hundred twenty million, four hundred seventeen thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.09821622041744 × 1015
Factors of 4098216220417440
Divisors of 4098216220417440
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 121 132 144 160 165 176 180 198 220 240 242 264 288 330 352 360 363 396 440 480 484 495 521 528 605 660 720 726 792 880 968 990 1042 1056 1089 1210 1320 1440 1452 1563 1584 1760 1815 1936 1980 2084 2178 2420 2605 2640 2904 3126 3168 3630 3872 3960 4168 4356 4689 4840 5210 5280 5445 5731 5808 6252 6719 7260 7815 7920 8336 8712 9378 9680 10420 10890 11462 11616 12504 13438 14520 15630 15840 16672 17193 17424 18756 19360 20157 20840 21780 22924 23445 25008 26876 28655 29040 31260 33595 34386 34848 37512 40314 41680 43560 45848 46890 50016 51579 53752 57310 58080 60471 62520 63041 67190 68772 73909 75024 80628 83360 85965 87120 91696 93780 100785 103158 107504 114620 120942 125040 126082 134380 137544 147818 150048 161256 171930 174240 183392 187560 189123 201570 206316 215008 221727 229240 241884 250080 252164 257895 268760 275088 295636 302355 315205 322512 343860 369545 375120 378246 403140 412632 443454 458480 483768 504328 515790 537520 550176 567369 591272 604710 630410 645024 665181 687720 739090 750240 756492 806280 812999 825264 886908 916960 945615 967536 1008656 1031580 1075040 1108635 1134738 1182544 1209420 1260820 1330362 1375440 1478180 1512984 1612560 1625998 1650528 1773816 1891230 1935072 2017312 2063160 2217270 2269476 2365088 2418840 2438997 2521640 2660724 2750880 2836845 2956360 3025968 3225120 3251996 3325905 3500599 3547632 3782460 4064995 4126320 4434540 4538952 4837680 4877994 5043280 5321448 5673690 5912720 6051936 6503992 6651810 7001198 7095264 7316991 7564920 8129990 8252640 8869080 9077904 9675360 9755988 10086560 10501797 10642896 11347380 11825440 12194985 13007984 13303620 14002396 14633982 15129840 16259980 17502995 17738160 18155808 19511976 21003594 21285792 22694760 24389970 26015968 26607240 28004792 29267964 30259680 31505391 32519960 35005990 35476320 36584955 38506589 39023952 42007188 45144961 45389520 48779940 52508985 53214480 56009584 58535928 63010782 65039920 70011980 73169910 77013178 78047904 84014376 90289922 90779040 97559880 105017970 106428960 112019168 115519767 117071856 126021564 130079840 135434883 140023960 146339820 154026356 157526955 168028752 180579844 192532945 195119760 210035940 225724805 231039534 234143712 252043128 270869766 280047920 292679640 308052712 315053910 336057504 346559301 361159688 385065890 390239520 406304649 420071880 423572479 451449610 462079068 496594571 504086256 541739532 560095840 577598835 585359280 616105424 630107820 677174415 693118602 722319376 770131780 812609298 840143760 847144958 902899220 924158136 993189142 1008172512 1083479064 1155197670 1170718560 1232210848 1260215640 1270717437 1354348830 1386237204 1444638752 1489783713 1540263560 1625218596 1680287520 1694289916 1732796505 1805798440 1848316272 1986378284 2031523245 2117862395 2166958128 2310395340 2482972855 2520431280 2541434874 2708697660 2772474408 2979567426 3080527120 3250437192 3388579832 3465593010 3611596880 3696632544 3812152311 3972756568 4063046490 4235724790 4333916256 4469351139 4620790680 4965945710 5040862560 5082869748 5417395320 5462540281 5544948816 5959134852 6161054240 6353587185 6500874384 6777159664 6931186020 7223193760 7448918565 7624304622 7945513136 8126092980 8471449580 8938702278 9241581360 9931891420 10165739496 10834790640 10925080562 11089897632 11918269704 12707174370 13001748768 13554319328 13862372040 14897837130 15248609244 15891026272 16252185960 16387620843 16942899160 17877404556 18483162720 19060761555 19863782840 20331478992 21669581280 21850161124 22346755695 23520524681 23836539408 25414348740 27312701405 27724744080 29795674260 30497218488 32504371920 32775241686 33885798320 35754809112 38121523110 39727565680 40662957984 43700322248 44693511390 47041049362 47673078816 49162862529 50828697480 54625402810 55449488160 59591348520 60994436976 65008743840 65550483372 67771596640 70561574043 71509618224 76243046220 79455131360 81938104215 87400644496 89387022780 94082098724 98325725058 101657394960 109250805620 117602623405 119182697040 121988873952 131100966744 141123148086 143019236448 152486092440 163876208430 174801288992 178774045560 188164197448 196651450116 203314789920 211684722129 218501611240 235205246810 238365394080 245814312645 258725771491 262201933488 282246296172 304972184880 327752416860 352807870215 357548091120 376328394896 393302900232 423369444258 437003222480 470410493620 491628625290 517451542982 524403866976 564492592344 609944369760 655504833720 705615740430 715096182240 752656789792 776177314473 786605800464 846738888516 874006444960 940820987240 983257250580 1034903085964 1058423610645 1128985184688 1293628857455 1311009667440 1411231480860 1552354628946 1573211600928 1693477777032 1881641974480 1966514501160 2069806171928 2116847221290 2257970369376 2328531943419 2587257714910 2622019334880 2822462961720 2845983486401 3104709257892 3386955554064 3763283948960 3880886572365 3933029002320 4139612343856 4233694442580 4657063886838 5174515429820 5644925923440 5691966972802 6209418515784 6773911108128 7761773144730 7866058004640 8279224687712 8467388885160 8537950459203 9314127773676 10349030859640 11289851846880 11383933945604 11642659717095 12418837031568 14229917432005 15523546289460 16934777770320 17075900918406 18628255547352 20698061719280 22767867891208 23285319434190 24837674063136 25613851377609 28459834864010 31047092578920 33869555540640 34151801836812 37256511094704 41396123438560 42689752296015 45535735782416 46570638868380 51227702755218 56919669728020 62094185157840 68303603673624 74513022189408 85379504592030 91071471564832 93141277736760 102455405510436 113839339456040 124188370315680 128069256888045 136607207347248 170759009184060 186282555473520 204910811020872 227678678912080 256138513776090 273214414694496 341518018368120 372565110947040 409821622041744 455357357824160 512277027552180 683036036736240 819643244083488 1024554055104360 1366072073472480 2049108110208720 4098216220417440
- Sum of all divisors σ(n): 15403918773490884
- Sum of proper divisors (its aliquot sum) s(n): 11305702553073444
- 4098216220417440 is an abundant number, because the sum of its proper divisors (11305702553073444) is greater than itself. Its abundance is 7207486332656004
Bases of 4098216220417440
- Binary: 11101000111101001110010100100000011111011101101000002
- Hexadecimal: 0xE8F4E5207DDA0
- Base-36: 14CP2JGTUW0
Squares and roots of 4098216220417440
- 4098216220417440 squared (40982162204174402) is 16795376189292607157927856153600
- 4098216220417440 cubed (40982162204174403) is 68831083126971814817166347610515735664758784000
-
The
square root of 4098216220417440 is 64017311.8805955487 -
The
cube root of 4098216220417440 is 160028.8518336959
Scales and comparisons
How big is 4098216220417440?- 4,098,216,220,417,440 seconds is equal to 130,310,599 years, 10 weeks, 16 hours, 24 minutes.
-
To count from 1 to 4,098,216,220,417,440 would take you about three hundred ninety million, nine hundred thirty-one thousand, seven hundred ninety-seven 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 4098216220417440 cubic inches would be around 13335.7 feet tall.
Recreational maths with 4098216220417440
- 4098216220417440 backwards is 0447140226128904
- The number of decimal digits it has is: 16
- The sum of 4098216220417440's digits is 54
- More coming soon!
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