3427945405480960
3,427,945,405,480,960 is an even composite number composed of eight prime numbers multiplied together.
3427945405480960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty-two divisors.
Prime factorization of 3427945405480960:
218 × 5 × 7 × 13 × 19 × 61 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 19 × 61 × 137 × 181)See below for interesting mathematical facts about the number 3427945405480960 from the Numbermatics database.
Names of 3427945405480960
- Cardinal: 3427945405480960 can be written as Three quadrillion, four hundred twenty-seven trillion, nine hundred forty-five billion, four hundred five million, four hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.42794540548096 × 1015
Factors of 3427945405480960
Divisors of 3427945405480960
- Number of divisors d(n): 2432
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 52 56 61 64 65 70 76 80 91 95 104 112 122 128 130 133 137 140 152 160 181 182 190 208 224 244 247 256 260 266 274 280 304 305 320 362 364 380 416 427 448 455 488 494 512 520 532 548 560 608 610 640 665 685 724 728 760 793 832 854 896 905 910 959 976 988 1024 1040 1064 1096 1120 1159 1216 1220 1235 1267 1280 1330 1370 1448 1456 1520 1586 1664 1708 1729 1781 1792 1810 1820 1918 1952 1976 2048 2080 2128 2135 2192 2240 2318 2353 2432 2440 2470 2534 2560 2603 2660 2740 2896 2912 3040 3172 3328 3416 3439 3458 3562 3584 3620 3640 3836 3904 3952 3965 4096 4160 4256 4270 4384 4480 4636 4706 4795 4864 4880 4940 5068 5120 5206 5320 5480 5551 5792 5795 5824 6080 6335 6344 6656 6832 6878 6916 7124 7168 7240 7280 7672 7808 7904 7930 8113 8192 8320 8357 8512 8540 8645 8768 8905 8960 9272 9412 9590 9728 9760 9880 10136 10240 10412 10640 10960 11041 11102 11584 11590 11648 11765 12160 12467 12670 12688 13015 13312 13664 13756 13832 14248 14336 14480 14560 15067 15344 15616 15808 15860 16226 16384 16471 16640 16714 17024 17080 17195 17290 17536 17810 17920 18221 18544 18824 19180 19456 19520 19760 20272 20480 20824 21280 21920 22082 22204 23168 23180 23296 23530 24073 24320 24797 24934 25340 25376 26030 26624 27328 27512 27664 27755 28496 28672 28960 29120 30134 30688 31232 31616 31720 32452 32768 32942 33280 33428 33839 34048 34160 34390 34580 35072 35620 35840 36442 37088 37648 38360 38912 39040 39520 40544 40565 40960 41648 41785 42560 43840 44164 44408 44707 46336 46360 46592 47060 48146 48640 49594 49868 50680 50752 52060 53248 54656 55024 55205 55328 55510 56992 57344 57920 58240 58499 60268 61376 62335 62464 63232 63440 64904 65536 65884 66560 66856 67678 68096 68320 68780 69160 70144 71240 71680 72884 74176 75296 75335 76720 77287 77824 78080 79040 81088 81130 81920 82355 83296 83570 85120 87680 88328 88816 89414 91105 92672 92720 93184 94120 96292 97280 99188 99736 101360 101504 104120 105469 106496 108641 109312 110048 110410 110656 111020 113984 114688 115840 116480 116998 120365 120536 122752 123985 124670 124928 126464 126880 129808 131072 131768 133120 133712 135356 136192 136640 137560 138320 140288 142480 143360 143533 145768 148352 150592 150670 153440 154574 155648 156160 158080 158783 162176 162260 163840 164710 166592 167140 169195 170240 173579 175360 176656 177632 178828 182210 185344 185440 186368 188240 192584 194560 198376 199472 202720 203008 208240 209779 210938 212992 217282 218624 220096 220820 221312 222040 223535 227968 229376 231680 232960 233996 236873 240730 241072 245504 247970 249340 249856 252928 253760 259616 262144 263536 266240 267424 270712 272384 273280 275120 276640 280576 284960 286720 287066 291536 292495 296704 301184 301340 306880 309148 311296 312320 312949 316160 317566 322361 324352 324520 327680 329420 333184 334280 338390 340480 347158 350720 353312 355264 357656 364420 370688 370880 372736 376480 385168 386435 389120 396752 398944 405440 406016 416480 419558 421876 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410188513280 412012668928 418450366880 422525009920 432275587072 433697546240 439029893120 446812487680 470871621632 473473122304 478228990720 481182679040 495654338560 498392760320 501748449280 515015836160 540344483840 541112139776 563806810112 588589527040 591535013888 591841402880 617536552960 625537482752 644350640128 658460508160 669520587008 676390174720 693916073984 702447828992 704758512640 714899980288 728420188160 739418767360 765166385152 781921853440 802797518848 805438300160 824025337856 836900733760 864551174144 867395092480 878059786240 893624975360 941743243264 946946244608 956457981440 962365358080 991308677120 996785520640 1003496898560 1030031672320 1080688967680 1127613620224 1177179054080 1183682805760 1251074965504 1288701280256 1316921016320 1339041174016 1352780349440 1387832147968 1404895657984 1409517025280 1456840376320 1478837534720 1530332770304 1563843706880 1605595037696 1610876600320 1648050675712 1673801467520 1734790184960 1756119572480 1787249950720 1883486486528 1893892489216 1912915962880 1924730716160 1982617354240 2006993797120 2060063344640 2161377935360 2255227240448 2354358108160 2367365611520 2502149931008 2577402560512 2678082348032 2705560698880 2775664295936 2809791315968 2819034050560 2957675069440 3060665540608 3127687413760 3221753200640 3296101351424 3347602935040 3469580369920 3512239144960 3574499901440 3766972973056 3787784978432 3825831925760 4013987594240 4120126689280 4322755870720 4510454480896 4708716216320 4734731223040 5004299862016 5154805121024 5356164696064 5619582631936 5638068101120 6121331081216 6255374827520 6443506401280 6592202702848 6695205870080 6939160739840 7024478289920 7533945946112 7651663851520 8027975188480 8240253378560 9020908961792 9417432432640 9469462446080 10712329392128 11239165263872 11276136202240 12242662162432 12510749655040 12887012802560 13184405405696 13390411740160 13878321479680 14048956579840 15303327703040 16480506757120 18041817923584 18834864865280 18938924892160 21424658784256 22552272404480 24485324324864 25021499310080 25774025605120 26368810811392 26780823480320 28097913159680 30606655406080 32961013514240 36083635847168 37669729730560 42849317568512 45104544808960 48970648649728 52737621622784 53561646960640 56195826319360 61213310812160 65922027028480 85698635137024 90209089617920 97941297299456 107123293921280 122426621624320 131844054056960 171397270274048 180418179235840 214246587842560 244853243248640 263688108113920 342794540548096 428493175685120 489706486497280 685589081096192 856986351370240 1713972702740480 3427945405480960
- Sum of all divisors σ(n): 10972624617077760
- Sum of proper divisors (its aliquot sum) s(n): 7544679211596800
- 3427945405480960 is an abundant number, because the sum of its proper divisors (7544679211596800) is greater than itself. Its abundance is 4116733806115840
Bases of 3427945405480960
- Binary: 11000010110110110010101111000011010000000000000000002
- Hexadecimal: 0xC2DB2BC340000
- Base-36: XR3SDNHUKG
Squares and roots of 3427945405480960
- 3427945405480960 squared (34279454054809602) is 11750809702958023269208922521600
- 3427945405480960 cubed (34279454054809603) is 40281134131936040208302494814478456623988736000
-
The
square root of 3427945405480960 is 58548658.4430502557 -
The
cube root of 3427945405480960 is 150780.3101128917
Scales and comparisons
How big is 3427945405480960?- 3,427,945,405,480,960 seconds is equal to 108,998,060 years, 29 weeks, 1 day, 22 hours, 2 minutes, 40 seconds.
-
To count from 1 to 3,427,945,405,480,960 would take you about three hundred twenty-six million, nine hundred ninety-four thousand, one hundred eighty-one 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 3427945405480960 cubic inches would be around 12565 feet tall.
Recreational maths with 3427945405480960
- 3427945405480960 backwards is 0690845045497243
- 3427945405480960 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3427945405480960's digits is 70
- More coming soon!
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Cite this page
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"Number 3427945405480960 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 3427945405480960 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/3427945405480960/
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The information we have on file for 3427945405480960 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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