345993214320
345,993,214,320 is an even composite number composed of seven prime numbers multiplied together.
345993214320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 345993214320:
24 × 32 × 5 × 13 × 181 × 331 × 617
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 181 × 331 × 617)See below for interesting mathematical facts about the number 345993214320 from the Numbermatics database.
Names of 345993214320
- Cardinal: 345993214320 can be written as Three hundred forty-five billion, nine hundred ninety-three million, two hundred fourteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.4599321432 × 1011
Factors of 345993214320
Divisors of 345993214320
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 181 195 208 234 240 260 312 331 360 362 390 468 520 543 585 617 624 662 720 724 780 905 936 993 1040 1086 1170 1234 1324 1448 1560 1629 1655 1810 1851 1872 1986 2172 2340 2353 2468 2648 2715 2896 2979 3085 3120 3258 3310 3620 3702 3972 4303 4344 4680 4706 4936 4965 5296 5430 5553 5958 6170 6516 6620 7059 7240 7404 7944 8021 8145 8606 8688 9255 9360 9412 9872 9930 10860 11106 11765 11916 12340 12909 13032 13240 14118 14480 14808 14895 15888 16042 16290 17212 18510 18824 19860 21177 21515 21720 22212 23530 23832 24063 24680 25818 26064 26480 27765 28236 29616 29790 32084 32580 34424 35295 37020 37648 38727 39720 40105 42354 43030 43440 44424 47060 47664 48126 49360 51636 55530 56472 59580 59911 64168 64545 65160 68848 70590 72189 74040 77454 79440 80210 84708 86060 88848 94120 96252 103272 105885 111060 111677 112944 119160 119822 120315 128336 129090 130320 141180 144378 148080 154908 160420 169416 172120 179733 188240 192504 193635 204227 206544 211770 222120 223354 238320 239644 240630 258180 282360 288756 299555 309816 320840 335031 338832 344240 359466 360945 385008 387270 408454 423540 444240 446708 479288 481260 516360 539199 558385 564720 577512 599110 612681 619632 641680 670062 718932 721890 774540 778843 816908 847080 893416 898665 958576 962520 1005093 1021135 1032720 1078398 1116770 1155024 1198220 1225362 1340124 1437864 1443780 1451801 1549080 1557686 1633816 1675155 1694160 1786832 1797330 1838043 1925040 2010186 2042270 2156796 2233540 2336529 2396440 2450724 2654951 2680248 2695995 2875728 2887560 2903602 3063405 3098160 3115372 3267632 3350310 3594660 3676086 3894215 4020372 4084540 4313592 4355403 4467080 4673058 4792880 4901448 5025465 5309902 5360496 5391990 5775120 5807204 6126810 6230744 6700620 7009587 7189320 7259005 7352172 7788430 7964853 8040744 8169080 8627184 8710806 8934160 9190215 9346116 9802896 10050930 10619804 10783980 11614408 11682645 12253620 12461488 13066209 13274755 13401240 14019174 14378640 14518010 14704344 15576860 15929706 16081488 16338160 17421612 18380430 18692232 20101860 21239608 21567960 21777015 23228816 23365290 23894559 24507240 26132418 26549510 26802480 28038348 29036020 29408688 31153720 31859412 34843224 35047935 36760860 36965087 37384464 39824265 40203720 42479216 43135920 43554030 46730580 47789118 49014480 52264836 53099020 56076696 58072040 62307440 63718824 65331045 69686448 70095870 73521720 73930174 79648530 80407440 87108060 93461160 95578236 104529672 106198040 110895261 112153392 116144080 119472795 127437648 130662090 140191740 147043440 147860348 159297060 174216120 184825435 186922320 191156472 209059344 212396080 221790522 238945590 261324180 280383480 295720696 318594120 332685783 348432240 369650870 382312944 443581044 477891180 480546131 522648360 554476305 560766960 591441392 637188240 665371566 739301740 887162088 955782360 961092262 1045296720 1108952610 1330743132 1441638393 1478603480 1663428915 1774324176 1911564720 1922184524 2217905220 2402730655 2661486264 2883276786 2957206960 3326857830 3844369048 4324915179 4435810440 4805461310 5322972528 5766553572 6653715660 7208191965 7688738096 8649830358 8871620880 9610922620 11533107144 13307431320 14416383930 17299660716 19221845240 21624575895 23066214288 26614862640 28832767860 34599321432 38443690480 43249151790 57665535720 69198642864 86498303580 115331071440 172996607160 345993214320
- Sum of all divisors σ(n): 1264102467264
- Sum of proper divisors (its aliquot sum) s(n): 918109252944
- 345993214320 is an abundant number, because the sum of its proper divisors (918109252944) is greater than itself. Its abundance is 572116038624
Bases of 345993214320
- Binary: 1010000100011101100110101111001011100002
- Hexadecimal: 0x508ECD7970
- Base-36: 4EY3FCS0
Squares and roots of 345993214320
- 345993214320 squared (3459932143202) is 119711304355485453062400
- 345993214320 cubed (3459932143203) is 41419298984394227829061263533568000
-
The
square root of 345993214320 is 588211.8787647865 -
The
cube root of 345993214320 is 7020.3030575085
Scales and comparisons
How big is 345993214320?- 345,993,214,320 seconds is equal to 11,001 years, 26 weeks, 5 days, 2 hours, 12 minutes.
-
To count from 1 to 345,993,214,320 would take you about twenty-two thousand and three 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 345993214320 cubic inches would be around 585 feet tall.
Recreational maths with 345993214320
- 345993214320 backwards is 023412399543
- 345993214320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345993214320's digits is 45
- More coming soon!
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