438434936968000

Names of 438434936968000

• Cardinal: 438434936968000 can be written as Four hundred thirty-eight trillion, four hundred thirty-four billion, nine hundred thirty-six million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 4.38434936968 × 10¹⁴

Factors of 438434936968000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 222

Divisors of 438434936968000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 64 70 80 82 100 112 125 140 160 164 167 175 200 205 224 250 280 287 320 328 334 350 400 410 448 500 560 574 656 668 700 800 820 835 875 1000 1025 1120 1148 1169 1312 1336 1400 1435 1600 1640 1670 1681 1750 2000 2050 2240 2296 2338 2624 2672 2800 2870 3280 3340 3362 3500 4000 4100 4175 4592 4676 5125 5344 5600 5740 5845 6560 6680 6724 6847 7000 7175 8000 8200 8350 8405 9184 9352 10250 10688 11200 11480 11690 11767 13120 13360 13448 13694 14000 14350 16400 16700 16810 18368 18704 20500 20875 22960 23380 23534 26720 26896 27388 27889 28000 28700 29225 32800 33400 33620 34235 35875 37408 41000 41750 42025 45920 46760 47068 47929 53440 53792 54776 55778 56000 57400 58450 58835 65600 66800 67240 68470 71750 74816 82000 83500 84050 91840 93520 94136 95858 107584 109552 111556 114800 116900 117670 133600 134480 136940 139445 143500 146125 164000 167000 168100 171175 187040 188272 191716 195223 210125 219104 223112 229600 233800 235340 239645 267200 268960 273880 278890 280727 287000 292250 294175 328000 334000 336200 342350 374080 376544 383432 390446 420250 438208 446224 459200 467600 470680 479290 537920 547760 557780 561454 574000 584500 588350 668000 672400 684700 697225 753088 766864 780892 840500 855875 892448 935200 941360 958580 976115 1095520 1115560 1122908 1143449 1148000 1169000 1176700 1198225 1336000 1344800 1369400 1394450 1403635 1470875 1533728 1561784 1681000 1711750 1784896 1870400 1882720 1917160 1952230 1965089 2191040 2231120 2245816 2286898 2296000 2338000 2353400 2396450 2689600 2738800 2788900 2807270 2941750 3067456 3123568 3362000 3423500 3486125 3765440 3834320 3904460 3930178 4462240 4491632 4573796 4657463 4676000 4706800 4792900 4880575 5477600 5577800 5614540 5717245 5883500 5991125 6247136 6724000 6847000 6972250 7018175 7668640 7808920 7860356 8004143 8924480 8983264 9147592 9314926 9352000 9413600 9585800 9761150 9825445 10955200 11155600 11229080 11434490 11767000 11982250 12494272 13448000 13694000 13944500 14036350 15337280 15617840 15720712 16008286 17966528 18295184 18629852 18827200 19171600 19522300 19650890 22311200 22458160 22868980 23287315 23534000 23964500 24402875 27388000 27889000 28072700 28586225 31235680 31441424 32016572 32602241 35090875 36590368 37259704 38343200 39044600 39301780 40020715 44622400 44916320 45737960 46574630 46881409 47068000 47929000 48805750 49127225 54776000 55778000 56145400 57172450 62471360 62882848 64033144 65204482 70181750 73180736 74519408 76686400 78089200 78603560 80041430 89832640 91475920 93149260 93762818 94136000 95858000 97611500 98254450 111556000 112290800 114344900 116436575 125765696 128066288 130408964 140363500 142931125 149038816 156178400 157207120 160082860 163011205 182951840 186298520 187525636 190955983 191716000 195223000 196508900 200103575 223112000 224581600 228689800 232873150 234407045 245636125 256132576 260817928 280727000 285862250 298077632 312356800 314414240 320165720 326022410 328169863 365903680 372597040 375051272 381911966 383432000 390446000 393017800 400207150 449163200 457379600 465746300 468814090 491272250 512265152 521635856 561454000 571724500 582182875 628828480 640331440 652044820 656339726 745194080 750102544 763823932 780892000 786035600 800414300 815056025 914759200 931492600 937628180 954779915 982544500 1000517875 1043271712 1122908000 1143449000 1164365750 1172035225 1280662880 1304089640 1312679452 1336691881 1490388160 1500205088 1527647864 1561784000 1572071200 1600828600 1630112050 1640849315 1829518400 1862985200 1875256360 1909559830 1965089000 2001035750 2086543424 2245816000 2286898000 2328731500 2344070450 2561325760 2608179280 2625358904 2673383762 3000410176 3055295728 3144142400 3201657200 3260224100 3281698630 3725970400 3750512720 3819119660 3930178000 4002071500 4075280125 4573796000 4657463000 4688140900 4773899575 5216358560 5250717808 5346767524 5860176125 6110591456 6403314400 6520448200 6563397260 6683459405 7451940800 7501025440 7638239320 7829195303 7860356000 8004143000 8150560250 8204246575 9147592000 9314926000 9376281800 9547799150 10432717120 10501435616 10693535048 11720352250 12221182912 12806628800 13040896400 13126794520 13366918810 15002050880 15276478640 15658390606 15720712000 16008286000 16301120500 16408493150 18629852000 18752563600 19095598300 21002871232 21387070096 23440704500 23869497875 26081792800 26253589040 26733837620 30552957280 31316781212 32016572000 32602241000 32816986300 33417297025 37259704000 37505127200 38191196600 39145976515 41021232875 42774140192 46881409000 47738995750 52163585600 52507178080 53467675240 54804367121 61105914560 62633562424 64033144000 65204482000 65633972600 66834594050 75010254400 76382393200 78291953030 82042465750 85548280384 93762818000 95477991500 105014356160 106935350480 109608734242 125267124848 130408964000 131267945200 133669188100 152764786400 156583906060 164084931500 167086485125 187525636000 190955983000 195729882575 213870700960 219217468484 250534249696 260817928000 262535890400 267338376200 274021835605 305529572800 313167812120 328169863000 334172970250 375051272000 381911966000 391459765150 427741401920 438434936968 501068499392 525071780800 534676752400 548043671210 626335624240 656339726000 668345940500 763823932000 782919530300 876869873936 978649412875 1069353504800 1096087342420 1252671248480 1312679452000 1336691881000 1370109178025 1527647864000 1565839060600 1753739747872 1957298825750 2138707009600 2192174684840 2505342496960 2625358904000 2673383762000 2740218356050 3131678121200 3507479495744 3914597651500 4384349369680 5346767524000 5480436712100 6263356242400 6850545890125 7829195303000 8768698739360 10693535048000 10960873424200 12526712484800 13701091780250 15658390606000 17537397478720 21921746848400 27402183560500 31316781212000 43843493696800 54804367121000 62633562424000 87686987393600 109608734242000 219217468484000 438434936968000
• Sum of all divisors σ(n): 1279562134556160
• Sum of proper divisors (its aliquot sum) s(n): 841127197588160
• 438434936968000 is an abundant number, because the sum of its proper divisors (841127197588160) is greater than itself. Its abundance is 402692260620160

Bases of 438434936968000

• Binary: 1100011101100000100010110101011001101001101000000₂
• Hexadecimal: 0x18EC116ACD340
• Base-36: 4BEU89EZB4

Squares and roots of 438434936968000

• 438434936968000 squared (438434936968000²) is 192225193954134133033024000000
• 438434936968000 cubed (438434936968000³) is 84278240794942373299351204102431232000000000
• The square root of 438434936968000 is 20938838.0042446483
• The cube root of 438434936968000 is 75968.7623798829

Scales and comparisons

• 438,434,936,968,000 seconds is equal to 13,940,874 years, 43 weeks, 3 hours, 6 minutes, 40 seconds.
• To count from 1 to 438,434,936,968,000 would take you about thirty-four million, eight hundred fifty-two thousand, one hundred eighty-seven 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 438434936968000 cubic inches would be around 6330.7 feet tall.

Recreational maths with 438434936968000

• 438434936968000 backwards is 000869639434834
• The number of decimal digits it has is: 15
• The sum of 438434936968000's digits is 67
• More coming soon!