1328131424256
1,328,131,424,256 is an even composite number composed of five prime numbers multiplied together.
1328131424256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 1328131424256:
214 × 3 × 72 × 133 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 13 × 251)See below for interesting mathematical facts about the number 1328131424256 from the Numbermatics database.
Names of 1328131424256
- Cardinal: 1328131424256 can be written as One trillion, three hundred twenty-eight billion, one hundred thirty-one million, four hundred twenty-four thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.328131424256 × 1012
Factors of 1328131424256
Divisors of 1328131424256
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 169 182 192 196 208 224 251 256 273 294 312 336 338 364 384 392 416 448 502 507 512 546 588 624 637 672 676 728 753 768 784 832 896 1004 1014 1024 1092 1176 1183 1248 1274 1344 1352 1456 1506 1536 1568 1664 1757 1792 1911 2008 2028 2048 2184 2197 2352 2366 2496 2548 2688 2704 2912 3012 3072 3136 3263 3328 3514 3549 3584 3822 4016 4056 4096 4368 4394 4704 4732 4992 5096 5271 5376 5408 5824 6024 6144 6272 6526 6591 6656 7028 7098 7168 7644 8032 8112 8192 8281 8736 8788 9408 9464 9789 9984 10192 10542 10752 10816 11648 12048 12288 12299 12544 13052 13182 13312 14056 14196 14336 15288 15379 16064 16224 16384 16562 17472 17576 18816 18928 19578 19968 20384 21084 21504 21632 22841 23296 24096 24576 24598 24843 25088 26104 26364 26624 28112 28392 28672 30576 30758 32128 32448 33124 34944 35152 36897 37632 37856 39156 39936 40768 42168 42419 43008 43264 45682 46137 46592 48192 49152 49196 49686 50176 52208 52728 53248 56224 56784 57344 61152 61516 64256 64896 66248 68523 69888 70304 73794 75264 75712 78312 79872 81536 84336 84838 86016 86528 91364 92274 93184 96384 98392 99372 100352 104416 105456 106496 107653 112448 113568 114688 122304 123032 127257 128512 129792 132496 137046 139776 140608 147588 150528 151424 156624 159744 159887 163072 168672 169676 172032 173056 182728 184548 186368 192768 196784 198744 200704 208832 210912 212992 215306 224896 227136 244608 246064 254514 257024 259584 264992 274092 279552 281216 295176 296933 301056 302848 313248 319488 319774 322959 326144 337344 339352 344064 346112 365456 369096 372736 385536 393568 397488 401408 417664 421824 430612 449792 454272 479661 489216 492128 509028 514048 519168 529984 548184 551447 559104 562432 590352 593866 602112 605696 626496 638976 639548 645918 652288 674688 678704 692224 730912 738192 745472 771072 787136 794976 802816 835328 843648 861224 890799 899584 908544 959322 978432 984256 1018056 1028096 1038336 1059968 1096368 1102894 1118208 1124864 1180704 1187732 1204224 1211392 1252992 1279096 1291836 1304576 1349376 1357408 1384448 1461824 1476384 1490944 1542144 1574272 1589952 1654341 1670656 1687296 1722448 1781598 1799168 1817088 1918644 1956864 1968512 2036112 2056192 2076672 2078531 2119936 2192736 2205788 2236416 2249728 2361408 2375464 2408448 2422784 2505984 2558192 2583672 2609152 2698752 2714816 2768896 2923648 2952768 3084288 3148544 3179904 3308682 3341312 3374592 3444896 3563196 3598336 3634176 3837288 3860129 3913728 3937024 4072224 4112384 4153344 4157062 4239872 4385472 4411576 4472832 4499456 4722816 4750928 4845568 5011968 5116384 5167344 5218304 5397504 5429632 5847296 5905536 6168576 6235593 6297088 6359808 6617364 6682624 6749184 6889792 7126392 7196672 7268352 7674576 7720258 7827456 7874048 8144448 8306688 8314124 8479744 8770944 8823152 8998912 9445632 9501856 9691136 10023936 10232768 10334688 10436608 10795008 10859264 11580387 11694592 11811072 12337152 12471186 12594176 12719616 13234728 13365248 13498368 13779584 14252784 14393344 14536704 15349152 15440516 15654912 15748096 16288896 16628248 16959488 17541888 17646304 17997824 18891264 19003712 19382272 20047872 20465536 20669376 21590016 21718528 23160774 23389184 23622144 24942372 25188352 25439232 26469456 26730496 26996736 27020903 27559168 28505568 28786688 29073408 30698304 30881032 31309824 31496192 32577792 33256496 33918976 35083776 35292608 35995648 37782528 38007424 40095744 40931072 41338752 43180032 43437056 46321548 46778368 47244288 49884744 50376704 50878464 52938912 53460992 53993472 54041806 55118336 57011136 58146816 61396608 61762064 62992384 65155584 66512992 67837952 70167552 70585216 75565056 76014848 80191488 81062709 81862144 82677504 86360064 86874112 92643096 93556736 94488576 99769488 100753408 101756928 105877824 107986944 108083612 110236672 114022272 122793216 123524128 125984768 130311168 133025984 135675904 140335104 141170432 151130112 152029696 160382976 162125418 163724288 165355008 173748224 185286192 187113472 188977152 199538976 201506816 203513856 211755648 216167224 220473344 228044544 245586432 247048256 251969536 260622336 266051968 280670208 282340864 302260224 304059392 324250836 327448576 330710016 347496448 370572384 374226944 377954304 399077952 407027712 423511296 432334448 440946688 456089088 491172864 494096512 521244672 532103936 561340416 564681728 604520448 608118784 648501672 654897152 661420032 694992896 741144768 755908608 798155904 847022592 864668896 881893376 912178176 982345728 988193024 1042489344 1064207872 1122680832 1129363456 1216237568 1297003344 1309794304 1322840064 1482289536 1596311808 1694045184 1729337792 1763786752 1824356352 1964691456 1976386048 2084978688 2128415744 2258726912 2432475136 2594006688 2619588608 2645680128 2964579072 3192623616 3388090368 3458675584 3648712704 3929382912 3952772096 4256831488 4517453824 4864950272 5188013376 5291360256 5929158144 6385247232 6776180736 6917351168 7297425408 7858765824 7905544192 8513662976 9034907648 10376026752 11858316288 12770494464 13552361472 13834702336 14594850816 15811088384 17027325952 20752053504 23716632576 25540988928 27104722944 27669404672 31622176768 34054651904 41504107008 47433265152 51081977856 55338809344 63244353536 83008214016 94866530304 102163955712 110677618688 166016428032 189733060608 221355237376 332032856064 442710474752 664065712128 1328131424256
- Sum of all divisors σ(n): 4480732589760
- Sum of proper divisors (its aliquot sum) s(n): 3152601165504
- 1328131424256 is an abundant number, because the sum of its proper divisors (3152601165504) is greater than itself. Its abundance is 1824469741248
Bases of 1328131424256
- Binary: 100110101001110101100110101000000000000002
- Hexadecimal: 0x1353ACD4000
- Base-36: GY4V5PMO
Squares and roots of 1328131424256
- 1328131424256 squared (13281314242562) is 1763933080096271065153536
- 1328131424256 cubed (13281314242563) is 2342734953960533415357007938994569216
-
The
square root of 1328131424256 is 1152445.8443918309 -
The
cube root of 1328131424256 is 10992.0919035729
Scales and comparisons
How big is 1328131424256?- 1,328,131,424,256 seconds is equal to 42,230 years, 24 weeks, 3 days, 11 hours, 37 minutes, 36 seconds.
-
To count from 1 to 1,328,131,424,256 would take you about one hundred five thousand, five hundred seventy-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 1328131424256 cubic inches would be around 916 feet tall.
Recreational maths with 1328131424256
- 1328131424256 backwards is 6524241318231
- 1328131424256 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328131424256's digits is 42
- More coming soon!
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