13328435948100
13,328,435,948,100 is an even composite number composed of seven prime numbers multiplied together.
13328435948100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 13328435948100:
22 × 3 × 52 × 72 × 132 × 43 × 124769
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 43 × 124769)See below for interesting mathematical facts about the number 13328435948100 from the Numbermatics database.
Names of 13328435948100
- Cardinal: 13328435948100 can be written as Thirteen trillion, three hundred twenty-eight billion, four hundred thirty-five million, nine hundred forty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.33284359481 × 1013
Factors of 13328435948100
Divisors of 13328435948100
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 43 49 50 52 60 65 70 75 78 84 86 91 98 100 105 129 130 140 147 150 156 169 172 175 182 195 196 210 215 245 258 260 273 294 300 301 325 338 350 364 390 420 430 455 490 507 516 525 546 559 588 602 637 645 650 676 700 735 780 845 860 903 910 975 980 1014 1050 1075 1092 1118 1183 1204 1225 1274 1290 1300 1365 1470 1505 1677 1690 1806 1820 1911 1950 2028 2100 2107 2150 2236 2275 2366 2450 2535 2548 2580 2730 2795 2940 3010 3185 3225 3354 3380 3549 3612 3675 3822 3900 3913 4214 4225 4300 4515 4550 4732 4900 5070 5460 5590 5915 6020 6321 6370 6450 6708 6825 7098 7267 7350 7525 7644 7826 8281 8385 8428 8450 9030 9100 9555 10140 10535 11180 11739 11830 12642 12675 12740 12900 13650 13975 14196 14534 14700 15050 15652 15925 16562 16770 16900 17745 18060 19110 19565 21070 21801 22575 23478 23660 24843 25284 25350 27300 27391 27950 29068 29575 30100 31605 31850 33124 33540 35490 36335 38220 39130 41405 41925 42140 43602 45150 46956 47775 49686 50700 50869 52675 54782 55900 58695 59150 63210 63700 70980 72670 78260 82173 82810 83850 87204 88725 90300 95550 97825 99372 101738 105350 109005 109564 117390 118300 124215 124769 126420 136955 145340 152607 158025 164346 165620 167700 177450 181675 191100 195650 203476 207025 210700 218010 234780 248430 249538 254345 273910 293475 305214 316050 328692 354900 356083 363350 374307 391300 410865 414050 436020 496860 499076 508690 545025 547820 586950 610428 621075 623845 632100 684775 712166 726700 748614 763035 821730 828100 873383 1017380 1068249 1090050 1173900 1242150 1247690 1271725 1369550 1424332 1497228 1526070 1621997 1643460 1746766 1780415 1871535 2054325 2136498 2180100 2484300 2495380 2543450 2620149 2739100 3052140 3119225 3243994 3493532 3560830 3743070 3815175 4108650 4272996 4366915 4865991 5086900 5240298 5341245 5365067 6113681 6238450 6487988 7121660 7486140 7630350 8109985 8217300 8733830 8902075 9357675 9731982 10480596 10682490 10730134 11353979 12227362 12476900 13100745 15260700 16095201 16219970 17467660 17804150 18341043 18715350 19463964 21085961 21364980 21460268 21834575 22707958 24329955 24454724 26201490 26706225 26825335 30568405 32190402 32439940 34061937 35608300 36682086 37430700 37555469 40549925 42171922 43669150 45415916 48659910 52402980 53412450 53650670 56769895 61136810 63257883 64380804 65503725 68123874 69745871 73364172 75110938 79477853 80476005 81099850 84343844 87338300 91705215 97319820 105429805 106824900 107301340 112666407 113539790 121649775 122273620 126515766 131007450 134126675 136247748 139491742 147601727 150221876 152842025 158955706 160952010 162199700 170309685 183410430 187777345 209237613 210859610 225332814 227079580 238433559 243299550 253031532 262014900 262888283 268253350 278983484 283849475 295203454 305684050 316289415 317911412 321904020 340619370 348729355 366820860 375554690 397389265 402380025 418475226 421719220 442805181 450665628 458526075 476867118 486599100 488221097 525776566 527149025 536506700 563332035 567698950 590406908 611368100 632578830 681238740 697458710 738008635 751109380 788664849 794778530 804760050 836950452 851548425 885610362 906696323 917052150 938886725 953734236 976442194 1033212089 1046188065 1051553132 1054298050 1126664070 1135397900 1192167795 1265157660 1314441415 1394917420 1464663291 1476017270 1577329698 1581447075 1589557060 1609520100 1703096850 1743646775 1771220724 1813392646 1834104300 1877773450 1952884388 1986946325 2066424178 2092376130 2108596100 2214025905 2253328140 2384335590 2441105485 2628882830 2720088969 2816660175 2929326582 2952034540 3099636267 3154659396 3162894150 3406193700 3417547679 3487293550 3626785292 3690043175 3755546900 3943324245 3973892650 4132848356 4184752260 4428051810 4533481615 4768671180 4882210970 5166060445 5230940325 5257765660 5440177938 5633320350 5858653164 5960838975 6199272534 6325788300 6346874261 6572207075 6835095358 6974587100 7323316455 7380086350 7886648490 7947785300 8856103620 9066963230 9764421940 10252643037 10332120890 10461880650 10880355876 11070129525 11266640700 11921677950 12205527425 12398545068 12693748522 13144414150 13600444845 13670190716 14646632910 14760172700 15498181335 15773296980 17087738395 18133926460 19040622783 19716621225 20505286074 20664241780 20923761300 22140259050 22667408075 23843355900 24411054850 25387497044 25830302225 26288828300 27200889690 29293265820 30996362670 31734371305 34175476790 36616582275 38081245566 39433242450 41010572148 44280518100 44428119827 45334816150 48822109700 51263215185 51660604450 54401779380 61992725340 63468742610 68002224225 68350953580 73233164550 76162491132 77490906675 78866484900 85438691975 88856239654 90669632300 95203113915 102526430370 103321208900 126937485220 133284359481 136004448450 146466329100 154981813350 158671856525 170877383950 177712479308 190406227830 205052860740 222140599135 256316075925 266568718962 272008896900 309963626700 317343713050 341754767900 380812455660 444281198270 476015569575 512632151850 533137437924 634687426100 666421797405 888562396540 952031139150 1025264303700 1110702995675 1332843594810 1904062278300 2221405991350 2665687189620 3332108987025 4442811982700 6664217974050 13328435948100
- Sum of all divisors σ(n): 49705966427040
- Sum of proper divisors (its aliquot sum) s(n): 36377530478940
- 13328435948100 is an abundant number, because the sum of its proper divisors (36377530478940) is greater than itself. Its abundance is 23049094530840
Bases of 13328435948100
- Binary: 110000011111010001001011000010101010010001002
- Hexadecimal: 0xC1F44B0AA44
- Base-36: 4Q2ZYMSZO
Squares and roots of 13328435948100
- 13328435948100 squared (133284359481002) is 177647204822604345893610000
- 13328435948100 cubed (133284359481003) is 2367759390837083447271678142081641000000
-
The
square root of 13328435948100 is 3650813.0530198339 -
The
cube root of 13328435948100 is 23709.7184282791
Scales and comparisons
How big is 13328435948100?- 13,328,435,948,100 seconds is equal to 423,803 years, 1 week, 5 days, 22 hours, 55 minutes.
-
To count from 1 to 13,328,435,948,100 would take you about one million, fifty-nine thousand, five hundred 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 13328435948100 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13328435948100
- 13328435948100 backwards is 00184953482331
- The number of decimal digits it has is: 14
- The sum of 13328435948100's digits is 51
- More coming soon!
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