13368326400
13,368,326,400 is an even composite number composed of six prime numbers multiplied together.
13368326400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13368326400:
28 × 33 × 52 × 11 × 13 × 541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 541)See below for interesting mathematical facts about the number 13368326400 from the Numbermatics database.
Names of 13368326400
- Cardinal: 13368326400 can be written as Thirteen billion, three hundred sixty-eight million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.33683264 × 1010
Factors of 13368326400
Divisors of 13368326400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 128 130 132 135 143 144 150 156 160 165 176 180 192 195 198 200 208 216 220 225 234 240 256 260 264 270 275 286 288 297 300 312 320 325 330 351 352 360 384 390 396 400 416 429 432 440 450 468 480 495 520 528 540 541 550 572 576 585 594 600 624 640 650 660 675 702 704 715 720 768 780 792 800 825 832 858 864 880 900 936 960 975 990 1040 1056 1080 1082 1100 1144 1152 1170 1188 1200 1248 1280 1287 1300 1320 1350 1404 1408 1430 1440 1485 1560 1584 1600 1623 1650 1664 1716 1728 1755 1760 1800 1872 1920 1950 1980 2080 2112 2145 2160 2164 2200 2288 2304 2340 2376 2400 2475 2496 2574 2600 2640 2700 2705 2808 2816 2860 2880 2925 2970 3120 3168 3200 3246 3300 3328 3432 3456 3510 3520 3575 3600 3744 3840 3861 3900 3960 4160 4224 4290 4320 4328 4400 4576 4680 4752 4800 4869 4950 4992 5148 5200 5280 5400 5410 5616 5720 5760 5850 5940 5951 6240 6336 6400 6435 6492 6600 6864 6912 7020 7033 7040 7150 7200 7425 7488 7722 7800 7920 8115 8320 8448 8580 8640 8656 8775 8800 9152 9360 9504 9600 9738 9900 9984 10296 10400 10560 10725 10800 10820 11232 11440 11520 11700 11880 11902 12480 12672 12870 12984 13200 13525 13728 14040 14066 14080 14300 14400 14607 14850 14976 15444 15600 15840 16230 16640 17160 17280 17312 17550 17600 17853 18304 18720 19008 19200 19305 19476 19800 20592 20800 21099 21120 21450 21600 21640 22464 22880 23400 23760 23804 24345 24960 25344 25740 25968 26400 27050 27456 28080 28132 28600 28800 29214 29700 29755 29952 30888 31200 31680 32175 32460 34320 34560 34624 35100 35165 35200 35706 36608 37440 38016 38610 38952 39600 40575 41184 41600 42198 42240 42900 43200 43280 44928 45760 46800 47520 47608 48690 49920 51480 51936 52800 53559 54100 54912 56160 56264 57200 57600 58428 59400 59510 61776 62400 63297 63360 64350 64920 68640 69248 70200 70330 70400 71412 73035 74880 76032 77220 77363 77904 79200 81150 82368 83200 84396 85800 86400 86560 89265 89856 91520 93600 95040 95216 96525 97380 102960 103872 105495 105600 107118 108200 109824 112320 112528 114400 116856 118800 119020 121725 123552 124800 126594 126720 128700 129840 137280 138496 140400 140660 142824 146070 148775 149760 154440 154726 155808 158400 160677 162300 164736 168792 171600 172800 173120 175825 178530 183040 187200 189891 190080 190432 193050 194760 205920 207744 210990 211200 214236 216400 224640 225056 228800 232089 233712 237600 238040 243450 247104 249600 253188 257400 259680 267795 274560 280800 281320 285648 292140 297550 308880 309452 311616 316485 316800 321354 324600 329472 337584 343200 346240 351650 357060 365175 374400 379782 380160 380864 386100 386815 389520 411840 415488 421980 428472 432800 446325 449280 450112 457600 464178 467424 475200 476080 486900 494208 506376 514800 519360 527475 535590 549120 561600 562640 571296 584280 595100 617760 618904 623232 632970 633600 642708 649200 675168 686400 692480 696267 703300 714120 730350 748800 759564 761728 772200 773630 779040 803385 823680 843960 856944 865600 892650 900224 915200 928356 934848 949455 950400 952160 973800 988416 1012752 1029600 1038720 1054950 1071180 1123200 1125280 1142592 1160445 1168560 1190200 1235520 1237808 1246464 1265940 1285416 1298400 1338975 1350336 1372800 1392534 1406600 1428240 1460700 1519128 1523456 1544400 1547260 1558080 1582425 1606770 1647360 1687920 1713888 1731200 1785300 1800448 1856712 1869696 1898910 1900800 1904320 1934075 1947600 2025504 2059200 2077440 2088801 2109900 2142360 2246400 2250560 2285184 2320890 2337120 2380400 2471040 2475616 2531880 2570832 2596800 2677950 2700672 2745600 2785068 2813200 2856480 2921400 3038256 3088800 3094520 3116160 3164850 3213540 3375840 3427776 3462400 3481335 3570600 3713424 3739392 3797820 3808640 3868150 3895200 4016925 4051008 4118400 4177602 4219800 4284720 4501120 4570368 4641780 4674240 4747275 4760800 4942080 4951232 5063760 5141664 5193600 5355900 5401344 5570136 5626400 5712960 5802225 5842800 6076512 6177600 6189040 6232320 6329700 6427080 6751680 6855552 6962670 7141200 7426848 7595640 7617280 7736300 7790400 8033850 8102016 8236800 8355204 8439600 8569440 9002240 9283560 9348480 9494550 9521600 9902464 10127520 10283328 10387200 10444005 10711800 11140272 11252800 11425920 11604450 11685600 12153024 12355200 12378080 12659400 12854160 13503360 13711104 13925340 14282400 14853696 15191280 15472600 15580800 16067700 16204032 16710408 16879200 17138880 17406675 18567120 18696960 18989100 19043200 19804928 20255040 20566656 20888010 21423600 22280544 22505600 22851840 23208900 23371200 24306048 24710400 24756160 25318800 25708320 27006720 27850680 28564800 29707392 30382560 30945200 31161600 32135400 33420816 33758400 34277760 34813350 37134240 37978200 38086400 40510080 41133312 41776020 42847200 44561088 45011200 46417800 46742400 48612096 49512320 50637600 51416640 52220025 55701360 57129600 59414784 60765120 61890400 64270800 66841632 67516800 68555520 69626700 74268480 75956400 81020160 83552040 85694400 89122176 92835600 93484800 99024640 101275200 102833280 104440050 111402720 114259200 121530240 123780800 128541600 133683264 135033600 139253400 148536960 151912800 167104080 171388800 178244352 185671200 202550400 205666560 208880100 222805440 243060480 247561600 257083200 267366528 278506800 297073920 303825600 334208160 342777600 371342400 405100800 417760200 445610880 495123200 514166400 534733056 557013600 607651200 668416320 742684800 835520400 891221760 1028332800 1114027200 1215302400 1336832640 1485369600 1671040800 2228054400 2673665280 3342081600 4456108800 6684163200 13368326400
- Sum of all divisors σ(n): 57696723840
- Sum of proper divisors (its aliquot sum) s(n): 44328397440
- 13368326400 is an abundant number, because the sum of its proper divisors (44328397440) is greater than itself. Its abundance is 30960071040
Bases of 13368326400
- Binary: 11000111001101000001111001000000002
- Hexadecimal: 0x31CD07900
- Base-36: 6535MO0
Squares and roots of 13368326400
- 13368326400 squared (133683264002) is 178712150736936960000
- 13368326400 cubed (133683264003) is 2389082362697373817503744000000
-
The
square root of 13368326400 is 115621.4789734157 -
The
cube root of 13368326400 is 2373.3348342653
Scales and comparisons
How big is 13368326400?- 13,368,326,400 seconds is equal to 425 years, 3 weeks, 5 days.
-
To count from 1 to 13,368,326,400 would take you about eight hundred fifty 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 13368326400 cubic inches would be around 197.8 feet tall.
Recreational maths with 13368326400
- 13368326400 backwards is 00462386331
- 13368326400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13368326400's digits is 36
- More coming soon!
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