349745213294402400

Names of 349745213294402400

• Cardinal: 349745213294402400 can be written as Three hundred forty-nine quadrillion, seven hundred forty-five trillion, two hundred thirteen billion, two hundred ninety-four million, four hundred two thousand, four hundred.

Scientific notation

• Scientific notation: 3.497452132944024 × 10¹⁷

Factors of 349745213294402400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 236728

Divisors of 349745213294402400

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 85 90 96 100 102 108 120 135 136 144 150 153 160 170 180 200 204 216 225 240 255 270 272 288 289 300 306 340 360 400 408 425 432 450 459 480 510 540 544 578 600 612 675 680 720 765 800 816 850 864 867 900 918 1020 1080 1156 1200 1224 1275 1350 1360 1440 1445 1530 1632 1700 1734 1800 1836 2040 2160 2295 2312 2400 2448 2550 2601 2700 2720 2890 3060 3400 3468 3600 3672 3825 4080 4320 4335 4590 4624 4896 5100 5202 5400 5780 6120 6800 6936 7200 7225 7344 7650 7803 8160 8670 9180 9248 10200 10404 10800 11475 11560 12240 13005 13600 13872 14450 14688 15300 15606 17340 18360 20400 20808 21600 21675 22950 23120 24480 26010 27744 28900 30600 31212 34680 36720 39015 40800 41616 43350 45900 46240 52020 57800 61200 62424 65025 69360 73440 78030 83232 86700 91800 104040 115600 122400 124848 130050 138720 156060 173400 183600 195075 208080 231200 236701 249696 260100 312120 346800 367200 390150 416160 473402 520200 624240 693600 710103 780300 946804 1040400 1183505 1248480 1420206 1560600 1893608 2080800 2130309 2367010 2840412 3121200 3550515 3787216 4023917 4260618 4734020 5680824 5917525 6242400 6390927 7101030 7574432 8047834 8521236 9468040 10651545 11361648 11835050 12071751 12781854 14202060 16095668 17042472 17752575 18936080 20119585 21303090 22723296 23670100 24143502 25563708 28404120 31954635 32191336 34084944 35505150 36215253 37872160 40239170 42606180 47340200 48287004 51127416 53257725 56808240 60358755 63909270 64382672 68169888 68406589 71010300 72430506 80478340 85212360 94680400 96574008 100597925 102254832 106515450 108645759 113616480 120717510 127818540 128765344 136813178 142020600 144861012 159773175 160956680 170424720 181076265 189360800 193148016 201195850 204509664 205219767 213030900 217291518 241435020 255637080 273626356 284041200 289722024 301793775 319546350 321913360 340849440 342032945 362152530 386296032 402391700 410439534 426061800 434583036 482870040 511274160 543228795 547252712 568082400 579444048 603587550 615659301 639092700 643826720 684065890 724305060 804783400 820879068 852123600 869166072 905381325 965740080 1022548320 1026098835 1086457590 1094505424 1158888096 1207175100 1231318602 1278185400 1368131780 1448610120 1609566800 1641758136 1704247200 1710164725 1738332144 1810762650 1846977903 1931480160 2052197670 2172915180 2189010848 2414350200 2462637204 2556370800 2716143975 2736263560 2897220240 3078296505 3219133600 3283516272 3420329450 3476664288 3621525300 3693955806 4104395340 4345830360 4828700400 4925274408 5112741600 5130494175 5432287950 5472527120 5794440480 6156593010 6567032544 6840658900 7243050600 7387911612 8208790680 8691660720 9234889515 9657400800 9850548816 10260988350 10864575900 10945054240 12313186020 13681317800 14486101200 14775823224 15391482525 16417581360 17383321440 18469779030 19701097632 20521976700 21729151800 24626372040 27362635600 28972202400 29551646448 30782965050 32835162720 36939558060 41043953400 43458303600 46174447575 49252744080 54725271200 56027363401 59103292896 61565930100 73879116120 82087906800 86916607200 92348895150 98505488160 112054726802 123131860200 147758232240 164175813600 168082090203 184697790300 224109453604 246263720400 280136817005 295516464480 336164180406 369395580600 448218907208 492527440800 504246270609 560273634010 672328360812 738791161200 840410451015 896437814416 952465177817 1008492541218 1120547268020 1344656721624 1400684085025 1477582322400 1512738811827 1680820902030 1792875628832 1904930355634 2016985082436 2241094536040 2521231353045 2689313443248 2801368170050 2857395533451 3025477623654 3361641804060 3809860711268 4033970164872 4202052255075 4482189072080 4762325889085 5042462706090 5378626886496 5602736340100 5714791066902 6050955247308 6723283608120 7563694059135 7619721422536 8067940329744 8404104510150 8572186600353 8964378144160 9524651778170 10084925412180 11205472680200 11429582133804 12101910494616 12606156765225 13446567216240 14286977667255 15127388118270 15239442845072 16135880659488 16191908022889 16808209020300 17144373200706 19049303556340 20169850824360 22410945360400 22859164267608 23811629445425 24203820989232 25212313530450 25716559801059 26893134432480 28573955334510 30254776236540 30478885690144 32383816045778 33616418040600 34288746401412 37818470295675 38098607112680 40339701648720 42860933001765 44821890720800 45718328535216 47623258890850 48407641978464 48575724068667 50424627060900 51433119602118 57147910669020 60509552473080 64767632091556 67232836081200 68577492802824 71434888336275 75636940591350 76197214225360 80679403297440 80959540114445 85721866003530 91436657070432 95246517781700 97151448137334 100849254121800 102866239204236 114295821338040 121019104946160 128582799005295 129535264183112 134465672162400 137154985605648 142869776672550 145727172206001 151273881182700 152394428450720 161919080228890 171443732007060 190493035563400 194302896274668 201698508243600 205732478408472 214304665008825 228591642676080 242038209892320 242878620343335 257165598010590 259070528366224 274309971211296 285739553345100 291454344412002 302547762365400 323838160457780 342887464014120 380986071126800 388605792549336 403397016487200 404797700572225 411464956816944 428609330017650 437181516618003 457183285352160 485757240686670 514331196021180 518141056732448 571479106690200 582908688824004 605095524730800 642913995026475 647676320915560 685774928028240 728635861030005 761972142253600 777211585098672 809595401144450 822929913633888 857218660035300 874363033236006 971514481373340 1028662392042360 1142958213380400 1165817377648008 1210191049461600 1214393101716675 1285827990052950 1295352641831120 1371549856056480 1457271722060010 1554423170197344 1619190802288900 1714437320070600 1748726066472012 1943028962746680 2057324784084720 2185907583090015 2285916426760800 2331634755296016 2428786203433350 2571655980105900 2590705283662240 2914543444120020 3238381604577800 3428874640141200 3497452132944024 3643179305150025 3886057925493360 4114649568169440 4371815166180030 4663269510592032 4857572406866700 5143311960211800 5829086888240040 6476763209155600 6857749280282400 6994904265888048 7286358610300050 7772115850986720 8743630332360060 9715144813733400 10286623920423600 10929537915450075 11658173776480080 12953526418311200 13989808531776096 14572717220600100 17487260664720120 19430289627466800 20573247840847200 21859075830900150 23316347552960160 29145434441200200 34974521329440240 38860579254933600 43718151661800300 58290868882400400 69949042658880480 87436303323600600 116581737764800800 174872606647201200 349745213294402400
• Sum of all divisors σ(n): 1343700968854232520
• Sum of proper divisors (its aliquot sum) s(n): 993955755559830120
• 349745213294402400 is an abundant number, because the sum of its proper divisors (993955755559830120) is greater than itself. Its abundance is 644210542265427720

Bases of 349745213294402400

• Binary: 10011011010100010110110101100100000010011100101101101100000₂
• Hexadecimal: 0x4DA8B6B204E5B60
• Base-36: 2NNQBWWHOGO0

Squares and roots of 349745213294402400

• 349745213294402400 squared (349745213294402400²) is 122321714222347029278095173125760000
• 349745213294402400 cubed (349745213294402400³) is 42781434031231697353957731611482293383519245824000000
• The square root of 349745213294402400 is 591392605.0386514599
• The cube root of 349745213294402400 is 704558.8261681135

Scales and comparisons

• 349,745,213,294,402,400 seconds is equal to 11,120,815,949 years, 40 weeks, 6 days, 6 hours.
• To count from 1 to 349,745,213,294,402,400 would take you about thirty-three billion, three hundred sixty-two million, four hundred forty-seven thousand, eight hundred forty-nine 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 349745213294402400 cubic inches would be around 58713.2 feet tall.

Recreational maths with 349745213294402400

• 349745213294402400 backwards is 004204492312547943
• The number of decimal digits it has is: 18
• The sum of 349745213294402400's digits is 63
• More coming soon!