4044122496128000
4,044,122,496,128,000 is an even composite number composed of five prime numbers multiplied together.
4044122496128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 4044122496128000:
210 × 53 × 114 × 132 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 113 × 113)See below for interesting mathematical facts about the number 4044122496128000 from the Numbermatics database.
Names of 4044122496128000
- Cardinal: 4044122496128000 can be written as Four quadrillion, forty-four trillion, one hundred twenty-two billion, four hundred ninety-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.044122496128 × 1015
Factors of 4044122496128000
Divisors of 4044122496128000
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 113 121 125 128 130 143 160 169 176 200 208 220 226 242 250 256 260 275 286 320 325 338 352 400 416 440 452 484 500 512 520 550 565 572 605 640 650 676 704 715 800 832 845 880 904 968 1000 1024 1040 1100 1130 1144 1210 1243 1280 1300 1331 1352 1375 1408 1430 1469 1573 1600 1625 1664 1690 1760 1808 1859 1936 2000 2080 2200 2260 2288 2420 2486 2560 2600 2662 2704 2750 2816 2825 2860 2938 3025 3146 3200 3250 3328 3380 3520 3575 3616 3718 3872 4000 4160 4225 4400 4520 4576 4840 4972 5120 5200 5324 5408 5500 5632 5650 5720 5876 6050 6215 6292 6400 6500 6655 6656 6760 7040 7150 7232 7345 7436 7744 7865 8000 8320 8450 8800 9040 9152 9295 9680 9944 10400 10648 10816 11000 11264 11300 11440 11752 12100 12430 12584 12769 12800 13000 13310 13312 13520 13673 14080 14125 14300 14464 14641 14690 14872 15125 15488 15730 16000 16159 16640 16900 17303 17600 17875 18080 18304 18590 19097 19360 19888 20449 20800 21125 21296 21632 22000 22600 22880 23504 24200 24860 25168 25538 25600 26000 26620 27040 27346 28160 28250 28600 28928 29282 29380 29744 30250 30976 31075 31460 32000 32318 33275 33280 33800 34606 35200 35750 36160 36608 36725 37180 38194 38720 39325 39776 40898 41600 42250 42592 43264 44000 45200 45760 46475 47008 48400 49720 50336 51076 52000 53240 54080 54692 56320 56500 57200 57856 58564 58760 59488 60500 61952 62150 62920 63845 64000 64636 66550 66560 67600 68365 69212 70400 71500 72320 73205 73216 73450 74360 76388 77440 78650 79552 80795 81796 83200 84500 85184 86515 86528 88000 90400 91520 92950 94016 95485 96800 99440 100672 102152 102245 104000 106480 108160 109384 113000 114400 115712 117128 117520 118976 121000 123904 124300 125840 127690 128000 129272 133100 135200 136730 138424 140459 140800 143000 144640 146410 146432 146900 148720 150403 152776 154880 155375 157300 159104 161590 163592 165997 166375 166400 169000 170368 173030 173056 176000 177749 180800 183040 183625 185900 188032 190333 190970 193600 196625 198880 201344 204304 204490 208000 210067 212960 216320 218768 224939 226000 228800 232375 234256 235040 237952 242000 248600 251680 255380 258544 266200 270400 273460 276848 280918 281600 286000 289280 292820 293800 297440 300806 305552 309760 310750 314600 318208 319225 323180 327184 331994 332750 332800 338000 340736 341825 346060 352000 355498 361600 366025 366080 367250 371800 376064 380666 381940 387200 393250 397760 402688 403975 408608 408980 416000 420134 425920 432575 432640 437536 449878 452000 457600 464750 468512 470080 475904 477425 484000 497200 503360 510760 511225 517088 532400 540800 546920 553696 561836 572000 578560 585640 587600 594880 601612 611104 619520 621500 629200 636416 638450 646360 654368 663988 665500 676000 681472 683650 692120 702295 704000 710996 723200 732050 732160 734500 743600 752015 752128 761332 763880 774400 786500 795520 805376 807950 817216 817960 829985 832000 840268 851840 865150 865280 875072 888745 899756 904000 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1944289661600 2022061248064 2088906248000 2175428992000 2236793416000 2297796872800 2392971891200 2430362077000 2488690766848 2527576560080 2570961536000 2752976512000 2828057689600 2872246091000 2941179997184 2991214864000 3038409088000 3110863458560 3159470700100 3253517696000 3342249996800 3535072112000 3578869465600 3676474996480 3888579323200 3949338375125 4044122496128 4177812496000 4473586832000 4595593745600 4785943782400 4860724154000 5055153120160 5656115379200 5744492182000 5982429728000 6221726917120 6318941400200 6684499993600 7070144224000 7157738931200 7352949992960 7777158646400 7898676750250 8088244992256 8355624992000 8947173664000 9191187491200 9721448308000 10110306240320 11488984364000 11964859456000 12443453834240 12637882800400 14140288448000 14705899985920 15554317292800 15797353500500 16176489984512 16711249984000 17894347328000 18382374982400 19442896616000 20220612480640 22977968728000 23929718912000 25275765600800 28280576896000 31108634585600 31594707001000 32352979969024 33422499968000 35788694656000 36764749964800 38885793232000 40441224961280 45955937456000 50551531201600 62217269171200 63189414002000 73529499929600 77771586464000 80882449922560 91911874912000 101103062403200 126378828004000 155543172928000 161764899845120 183823749824000 202206124806400 252757656008000 311086345856000 367647499648000 404412249612800 505515312016000 808824499225600 1011030624032000 2022061248064000 4044122496128000
- Sum of all divisors σ(n): 12124707397875540
- Sum of proper divisors (its aliquot sum) s(n): 8080584901747540
- 4044122496128000 is an abundant number, because the sum of its proper divisors (8080584901747540) is greater than itself. Its abundance is 4036462405619540
Bases of 4044122496128000
- Binary: 11100101111000011011101001001100111101010100000000002
- Hexadecimal: 0xE5E1BA4CF5400
- Base-36: 13TIS861NNK
Squares and roots of 4044122496128000
- 4044122496128000 squared (40441224961280002) is 16354926763688565374992384000000
- 4044122496128000 cubed (40441224961280003) is 66141327247558833796725512331069489152000000000
-
The
square root of 4044122496128000 is 63593415.5092176189 -
The
cube root of 4044122496128000 is 159321.6396532045
Scales and comparisons
How big is 4044122496128000?- 4,044,122,496,128,000 seconds is equal to 128,590,586 years, 4 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 4,044,122,496,128,000 would take you about three hundred eighty-five million, seven hundred seventy-one thousand, seven hundred fifty-eight 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 4044122496128000 cubic inches would be around 13276.8 feet tall.
Recreational maths with 4044122496128000
- 4044122496128000 backwards is 0008216942214404
- The number of decimal digits it has is: 16
- The sum of 4044122496128000's digits is 47
- More coming soon!
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"Number 4044122496128000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 4044122496128000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/4044122496128000/
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Numbermatics. 2024. "Number 4044122496128000 - Facts about the integer". https://numbermatics.com/n/4044122496128000/
The information we have on file for 4044122496128000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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