349406918796960

Names of 349406918796960

• Cardinal: 349406918796960 can be written as Three hundred forty-nine trillion, four hundred six billion, nine hundred eighteen million, seven hundred ninety-six thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.4940691879696 × 10¹⁴

Factors of 349406918796960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 524639

Divisors of 349406918796960

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 61 72 80 81 90 96 108 120 122 135 144 160 162 180 183 216 240 243 244 270 281 288 305 324 360 366 405 432 480 486 488 540 549 562 610 648 720 732 810 843 864 915 972 976 1080 1098 1124 1215 1220 1296 1405 1440 1464 1620 1647 1686 1830 1944 1952 2160 2196 2248 2430 2440 2529 2592 2745 2810 2928 3240 3294 3372 3660 3888 4215 4320 4392 4496 4860 4880 4941 5058 5490 5620 5856 6480 6588 6744 7320 7587 7776 8235 8430 8784 8992 9720 9760 9882 10116 10980 11240 12645 12960 13176 13488 14640 14823 15174 16470 16860 17141 17568 19440 19764 20232 21960 22480 22761 24705 25290 26352 26976 29280 29646 30348 32940 33720 34282 37935 38880 39528 40464 43920 44960 45522 49410 50580 51423 52704 59292 60696 65880 67440 68283 68564 74115 75870 79056 80928 85705 87840 91044 98820 101160 102846 113805 118584 121392 131760 134880 136566 137128 148230 151740 154269 158112 171410 182088 197640 202320 205692 227610 237168 242784 257115 263520 273132 274256 296460 303480 308538 341415 342820 364176 395280 404640 411384 455220 462807 474336 514230 524287 546264 548512 592920 606960 617076 682830 685640 728352 771345 790560 822768 910440 925614 1028460 1048574 1092528 1185840 1213920 1234152 1365660 1371280 1388421 1542690 1572861 1645536 1820880 1851228 2056920 2097148 2185056 2314035 2371680 2468304 2621435 2731320 2742560 2776842 3085380 3145722 3641760 3702456 4113840 4165263 4194296 4628070 4718583 4936608 5242870 5462640 5553684 6170760 6291444 6942105 7404912 7864305 8227680 8330526 8388592 9256140 9437166 10485740 10925280 11107368 12341520 12582888 13884210 14155749 14809824 15728610 16661052 16777184 18512280 18874332 20826315 20971480 22214736 23592915 24683040 25165776 27768420 28311498 31457220 31981507 33322104 37024560 37748664 41652630 41942960 42467247 44429472 47185830 50331552 55536840 56622996 62914440 63963014 66644208 70778745 74049120 75497328 83305260 83885920 84934494 94371660 95944521 111073680 113245992 125828880 127401741 127926028 133288416 141557490 147324647 150994656 159907535 166610520 169868988 188743320 191889042 212336235 222147360 226491984 251657760 254803482 255852056 283114980 287833563 294649294 319815070 333221040 339737976 377486640 383778084 424672470 441973941 452983968 479722605 509606964 511704112 566229960 575667126 589298588 637008705 639630140 666442080 679475952 736623235 754973280 767556168 849344940 863500689 883947882 959445210 1019213928 1023408224 1132459920 1151334252 1178597176 1274017410 1279260280 1325921823 1358951904 1439167815 1473246470 1535112336 1698689880 1727001378 1767895764 1918890420 2038427856 2209869705 2264919840 2302668504 2357194352 2548034820 2558520560 2590502067 2651843646 2878335630 2946492940 3070224672 3397379760 3454002756 3535791528 3837780840 3977765469 4076855712 4317503445 4419739410 4605337008 4714388704 5096069640 5117041120 5181004134 5303687292 5756671260 5892985880 6629609115 6794759520 6908005512 7071583056 7675561680 7771506201 7955530938 8635006890 8839478820 8986803467 9210674016 10192139280 10362008268 10607374584 11513342520 11785971760 11933296407 12952510335 13259218230 13816011024 14143166112 15351123360 15543012402 15911061876 17270013780 17678957640 17973606934 19888827345 20384278560 20724016536 21214749168 23026685040 23571943520 23866592814 25905020670 26518436460 26960410401 27632022048 31086024804 31822123752 34540027560 35357915280 35799889221 35947213868 38857531005 39777654690 41448033072 42429498336 44934017335 46053370080 47733185628 51810041340 53036872920 53920820802 59666482035 62172049608 63644247504 69080055120 70715830560 71599778442 71894427736 77715062010 79555309380 80881231203 82896066144 89868034670 95466371256 103620082680 106073745840 107841641604 119332964070 124344099216 127288495008 134802052005 138160110240 143199556884 143788855472 155430124020 159110618760 161762462406 178999446105 179736069340 190932742512 207240165360 212147491680 215683283208 238665928140 242643693609 248688198432 269604104010 286399113768 287577710944 310860248040 318221237520 323524924812 357998892210 359472138680 381865485024 404406156015 414480330720 431366566416 477331856280 485287387218 539208208020 572798227536 621720496080 636442475040 647049849624 715997784420 718944277360 727931080827 808812312030 862733132832 954663712560 970574774436 1078416416040 1145596455072 1213218468045 1243440992160 1294099699248 1431995568840 1437888554720 1455862161654 1617624624060 1909327425120 1941149548872 2156832832080 2183793242481 2426436936090 2588199398496 2863991137680 2911724323308 3235249248120 3639655404135 3882299097744 4313665664160 4367586484962 4852873872180 5727982275360 5823448646616 6470498496240 7279310808270 7764598195488 8735172969924 9705747744360 10918966212405 11646897293232 12940996992480 14558621616540 17470345939848 19411495488720 21837932424810 23293794586464 29117243233080 34940691879696 38822990977440 43675864849620 58234486466160 69881383759392 87351729699240 116468972932320 174703459398480 349406918796960
• Sum of all divisors σ(n): 1261257898328064
• Sum of proper divisors (its aliquot sum) s(n): 911850979531104
• 349406918796960 is an abundant number, because the sum of its proper divisors (911850979531104) is greater than itself. Its abundance is 562444060734144

Bases of 349406918796960

• Binary: 1001111011100100010100011010001101110011010100000₂
• Hexadecimal: 0x13DC8A346E6A0
• Base-36: 3FURBM1600

Squares and roots of 349406918796960

• 349406918796960 squared (349406918796960²) is 122085194903185399373705241600
• 349406918796960 cubed (349406918796960³) is 42657411781848335707808114592769518145536000
• The square root of 349406918796960 is 18692429.4514372851
• The cube root of 349406918796960 is 70433.1589068509

Scales and comparisons

• 349,406,918,796,960 seconds is equal to 11,110,059 years, 12 weeks, 3 hours, 36 minutes.
• To count from 1 to 349,406,918,796,960 would take you about twenty-seven million, seven hundred seventy-five thousand, one hundred forty-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 349406918796960 cubic inches would be around 5869.4 feet tall.

Recreational maths with 349406918796960

• 349406918796960 backwards is 069697819604943
• 349406918796960 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 349406918796960's digits is 81
• More coming soon!