4045980208320400
4,045,980,208,320,400 is an even composite number composed of five prime numbers multiplied together.
4045980208320400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 4045980208320400:
24 × 52 × 72 × 292 × 156672
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 29 × 29 × 15667 × 15667)See below for interesting mathematical facts about the number 4045980208320400 from the Numbermatics database.
Names of 4045980208320400
- Cardinal: 4045980208320400 can be written as Four quadrillion, forty-five trillion, nine hundred eighty billion, two hundred eight million, three hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 4.0459802083204 × 1015
Factors of 4045980208320400
Divisors of 4045980208320400
- Number of divisors d(n): 405
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 49 50 56 58 70 80 98 100 112 116 140 145 175 196 200 203 232 245 280 290 350 392 400 406 464 490 560 580 700 725 784 812 841 980 1015 1160 1225 1400 1421 1450 1624 1682 1960 2030 2320 2450 2800 2842 2900 3248 3364 3920 4060 4205 4900 5075 5684 5800 5887 6728 7105 8120 8410 9800 10150 11368 11600 11774 13456 14210 15667 16240 16820 19600 20300 21025 22736 23548 28420 29435 31334 33640 35525 40600 41209 42050 47096 56840 58870 62668 67280 71050 78335 81200 82418 84100 94192 109669 113680 117740 125336 142100 147175 156670 164836 168200 206045 219338 235480 250672 284200 294350 313340 329672 336400 391675 412090 438676 454343 470960 548345 568400 588700 626680 659344 767683 783350 824180 877352 908686 1030225 1096690 1177400 1253360 1535366 1566700 1648360 1754704 1817372 2060450 2193380 2271715 2354800 2741725 3070732 3133400 3180401 3296720 3634744 3838415 4120900 4386760 4543430 5483450 6141464 6266800 6360802 7269488 7676830 8241800 8773520 9086860 10966900 11358575 12282928 12721604 13175947 15353660 15902005 16483600 18173720 19192075 21933800 22262807 22717150 25443208 26351894 30707320 31804010 36347440 38384150 43867600 44525614 45434300 50886416 52703788 61414640 63608020 65879735 76768300 79510025 89051228 90868600 92231629 105407576 111314035 127216040 131759470 153536600 159020050 178102456 181737200 184463258 210815152 222628070 245454889 254432080 263518940 307073200 318040100 329398675 356204912 368926516 445256140 461158145 490909778 527037880 556570175 636080200 645621403 658797350 737853032 890512280 922316290 981819556 1054075760 1113140350 1227274445 1272160400 1291242806 1317594700 1475706064 1718184223 1781024560 1844632580 1963639112 2226280700 2305790725 2454548890 2582485612 2635189400 3228107015 3436368446 3689265160 3927278224 4452561400 4611581450 4909097780 5164971224 5270378800 6136372225 6456214030 6872736892 7118191781 7378530320 8590921115 8905122800 9223162900 9818195560 10329942448 12027289561 12272744450 12912428060 13745473784 14236383562 16140535075 17181842230 18446325800 19636391120 24054579122 24545488900 25824856120 27490947568 28472767124 32281070150 34363684460 35590958905 36892651600 42954605575 48109158244 49090977800 49827342467 51649712240 56945534248 60136447805 64562140300 68727368920 71181917810 85909211150 96218316488 98181955600 99654684934 113891068496 120272895610 129124280600 137454737840 142363835620 171818422300 177954794525 192436632976 199309369868 206427561649 240545791220 249136712335 258248561200 284727671240 300682239025 343636844600 348791397269 355909589050 398618739736 412855123298 481091582440 498273424670 569455342480 601364478050 687273689200 697582794538 711819178100 797237479472 825710246596 962183164880 996546849340 1032137808245 1202728956100 1245683561675 1395165589076 1423638356200 1444992931543 1651420493192 1743956986345 1993093698680 2064275616490 2405457912200 2491367123350 2790331178152 2847276712400 2889985863086 3302840986384 3487913972690 3986187397360 4128551232980 4810915824400 4982734246700 5160689041225 5580662356304 5779971726172 6975827945380 7224964657715 8257102465960 8719784931725 9965468493400 10114950520801 10321378082450 11559943452344 13951655890760 14449929315430 16514204931920 17439569863450 19930936986800 20229901041602 20642756164900 23119886904688 27903311781520 28899858630860 34879139726900 36124823288575 40459802083204 41285512329800 50574752604005 57799717261720 69758279453800 72249646577150 80919604166408 82571024659600 101149505208010 115599434523440 139516558907600 144499293154300 161839208332816 202299010416020 252873763020025 288998586308600 404598020832040 505747526040050 577997172617200 809196041664080 1011495052080100 2022990104160200 4045980208320400
- Sum of all divisors σ(n): 11711588550387219
- Sum of proper divisors (its aliquot sum) s(n): 7665608342066819
- 4045980208320400 is an abundant number, because the sum of its proper divisors (7665608342066819) is greater than itself. Its abundance is 3619628133746419
Bases of 4045980208320400
- Binary: 11100101111111001100001011010001010111001111100100002
- Hexadecimal: 0xE5FCC2D15CF90
- Base-36: 13U6HNBX574
Squares and roots of 4045980208320400
- 4045980208320400 squared (40459802083204002) is 16369955846120387381389056160000
- 4045980208320400 cubed (40459802083204003) is 66232517364481914783490040888157534873664000000
-
4045980208320400 is a
perfect square number . Itssquare root is 63608020 -
The
cube root of 4045980208320400 is 159346.0313018043
Scales and comparisons
How big is 4045980208320400?- 4,045,980,208,320,400 seconds is equal to 128,649,655 years, 30 weeks, 3 days, 8 hours, 6 minutes, 40 seconds.
-
To count from 1 to 4,045,980,208,320,400 would take you about three hundred eighty-five million, nine hundred forty-eight thousand, nine hundred sixty-six 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 4045980208320400 cubic inches would be around 13278.8 feet tall.
Recreational maths with 4045980208320400
- 4045980208320400 backwards is 0040238020895404
- 4045980208320400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4045980208320400's digits is 49
- More coming soon!
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