1013090332800
1,013,090,332,800 is an even composite number composed of seven prime numbers multiplied together.
1013090332800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1013090332800:
27 × 3 × 52 × 7 × 13 × 1061 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 1061 × 1093)See below for interesting mathematical facts about the number 1013090332800 from the Numbermatics database.
Names of 1013090332800
- Cardinal: 1013090332800 can be written as One trillion, thirteen billion, ninety million, three hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.0130903328 × 1012
Factors of 1013090332800
Divisors of 1013090332800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 260 273 280 300 312 320 325 336 350 364 384 390 400 416 420 448 455 480 520 525 546 560 600 624 640 650 672 700 728 780 800 832 840 896 910 960 975 1040 1050 1061 1092 1093 1120 1200 1248 1300 1344 1365 1400 1456 1560 1600 1664 1680 1820 1920 1950 2080 2100 2122 2184 2186 2240 2275 2400 2496 2600 2688 2730 2800 2912 3120 3183 3200 3279 3360 3640 3900 4160 4200 4244 4368 4372 4480 4550 4800 4992 5200 5305 5460 5465 5600 5824 6240 6366 6558 6720 6825 7280 7427 7651 7800 8320 8400 8488 8736 8744 9100 9600 10400 10610 10920 10930 11200 11648 12480 12732 13116 13440 13650 13793 14209 14560 14854 15302 15600 15915 16395 16800 16976 17472 17488 18200 20800 21220 21840 21860 22281 22400 22953 24960 25464 26232 26525 27300 27325 27586 28418 29120 29708 30604 31200 31830 32790 33600 33952 34944 34976 36400 37135 38255 41379 41600 42440 42627 43680 43720 44562 45906 50928 52464 53050 54600 54650 55172 56836 58240 59416 61208 62400 63660 65580 67200 67904 68965 69952 71045 72800 74270 76510 79575 81975 82758 84880 85254 87360 87440 89124 91812 96551 99463 101856 104928 106100 109200 109300 110344 111405 113672 114765 118832 122416 124800 127320 131160 135808 137930 139904 142090 145600 148540 153020 159150 163950 165516 169760 170508 174720 174880 178248 183624 185675 191275 193102 198926 203712 206895 209856 212200 213135 218400 218600 220688 222810 227344 229530 237664 244832 254640 262320 275860 284180 289653 291200 297080 298389 306040 318300 327900 331032 339520 341016 344825 349760 355225 356496 367248 371350 382550 386204 397852 407424 413790 419712 424400 426270 436800 437200 441376 445620 454688 459060 475328 482755 489664 497315 509280 524640 551720 557025 568360 573825 579306 594160 596778 612080 636600 655800 662064 679040 682032 689650 699520 710450 712992 734496 742700 765100 772408 795704 827580 848800 852540 873600 874400 882752 891240 909376 918120 950656 965510 979328 994630 1018560 1034475 1049280 1065675 1103440 1114050 1136720 1147650 1158612 1159673 1188320 1193556 1224160 1273200 1311600 1324128 1364064 1379300 1420900 1425984 1448265 1468992 1485400 1491945 1530200 1544816 1591408 1655160 1697600 1705080 1748800 1765504 1782480 1818752 1836240 1931020 1989260 2037120 2068950 2098560 2131350 2206880 2228100 2273440 2295300 2317224 2319346 2376640 2387112 2413775 2448320 2486575 2546400 2623200 2648256 2728128 2758600 2841800 2851968 2896530 2937984 2970800 2983890 3060400 3089632 3182816 3310320 3395200 3410160 3479019 3497600 3564960 3672480 3862040 3978520 4137900 4262700 4413760 4456200 4546880 4590600 4634448 4638692 4753280 4774224 4827550 4896640 4973150 5092800 5246400 5296512 5456256 5517200 5683600 5793060 5798365 5941600 5967780 6120800 6179264 6365632 6620640 6820320 6958038 7129920 7241325 7344960 7459725 7724080 7957040 8117711 8275800 8525400 8827520 8912400 9093760 9181200 9268896 9277384 9548448 9655100 9946300 10185600 10492800 11034400 11367200 11586120 11596730 11883200 11935560 12241600 12358528 12731264 13241280 13640640 13916076 14259840 14482650 14689920 14919450 15075749 15448160 15914080 16235422 16551600 17050800 17395095 17824800 18362400 18537792 18554768 19096896 19310200 19892600 22068800 22734400 23172240 23193460 23766400 23871120 24353133 24483200 26482560 27281280 27832152 28965300 28991825 29838900 30151498 30896320 31828160 32470844 33103200 34101600 34790190 35649600 36724800 37075584 37109536 38193792 38620400 39785200 40588555 44137600 45227247 45468800 46344480 46386920 47742240 48706266 55664304 57930600 57983650 59677800 60302996 61792640 63656320 64941688 66206400 68203200 69580380 71299200 73449600 74219072 75378745 77240800 79570400 81177110 86975475 90454494 92688960 92773840 95484480 97412532 105530243 111328608 115861200 115967300 119355600 120605992 121765665 129883376 132412800 136406400 139160760 148438144 150757490 154481600 159140800 162354220 173950950 180908988 185377920 185547680 190968960 194825064 202942775 211060486 222657216 226136235 231722400 231934600 238711200 241211984 243531330 259766752 278321520 301514980 308963200 316590729 318281600 324708440 347901900 361817976 371095360 376893725 389650128 405885550 422120972 445314432 452272470 463444800 463869200 477422400 482423968 487062660 519533504 527651215 556643040 603029960 608828325 633181458 649416880 695803800 723635952 742190720 753787450 779300256 811771100 844241944 904544940 926889600 927738400 954844800 964847936 974125320 1039067008 1055302430 1113286080 1130681175 1206059920 1217656650 1266362916 1298833760 1391607600 1447271904 1507574900 1558600512 1582953645 1623542200 1688483888 1809089880 1855476800 1929695872 1948250640 2110604860 2226572160 2261362350 2412119840 2435313300 2532725832 2597667520 2638256075 2783215200 2894543808 3015149800 3117201024 3165907290 3247084400 3376967776 3618179760 3710953600 3896501280 4221209720 4522724700 4824239680 4870626600 5065451664 5195335040 5276512150 5566430400 5789087616 6030299600 6331814580 6494168800 6753935552 7236359520 7793002560 7914768225 8442419440 9045449400 9648479360 9741253200 10130903328 10553024300 11132860800 12060599200 12663629160 12988337600 13507871104 14472719040 15586005120 15829536450 16884838880 18090898800 19482506400 20261806656 21106048600 24121198400 25327258320 25976675200 28945438080 31659072900 33769677760 36181797600 38965012800 40523613312 42212097200 48242396800 50654516640 63318145800 67539355520 72363595200 77930025600 84424194400 101309033280 126636291600 144727190400 168848388800 202618066560 253272583200 337696777600 506545166400 1013090332800
- Sum of all divisors σ(n): 4114544152320
- Sum of proper divisors (its aliquot sum) s(n): 3101453819520
- 1013090332800 is an abundant number, because the sum of its proper divisors (3101453819520) is greater than itself. Its abundance is 2088363486720
Bases of 1013090332800
- Binary: 11101011111000001110001110110000100000002
- Hexadecimal: 0xEBE0E3B080
- Base-36: CXENTRPC
Squares and roots of 1013090332800
- 1013090332800 squared (10130903328002) is 1026352022412814755840000
- 1013090332800 cubed (10130903328003) is 1039787311956151559978696343552000000
-
The
square root of 1013090332800 is 1006523.8858566647 -
The
cube root of 1013090332800 is 10043.4454188797
Scales and comparisons
How big is 1013090332800?- 1,013,090,332,800 seconds is equal to 32,213 years, 7 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 1,013,090,332,800 would take you about eighty thousand, five hundred thirty-two 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 1013090332800 cubic inches would be around 837 feet tall.
Recreational maths with 1013090332800
- 1013090332800 backwards is 0082330903101
- 1013090332800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1013090332800's digits is 30
- More coming soon!
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