148724635806912

Names of 148724635806912

• Cardinal: 148724635806912 can be written as One hundred forty-eight trillion, seven hundred twenty-four billion, six hundred thirty-five million, eight hundred six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.48724635806912 × 10¹⁴

Factors of 148724635806912

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1320

Divisors of 148724635806912

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 23 24 32 33 41 44 46 48 53 64 66 69 82 88 92 96 106 123 132 138 159 164 176 184 192 212 246 253 264 276 318 328 352 368 424 451 492 506 528 552 583 636 656 704 736 759 848 902 943 984 1012 1056 1104 1166 1187 1219 1272 1312 1353 1472 1518 1696 1749 1804 1886 1968 2024 2112 2173 2208 2332 2374 2438 2544 2624 2706 2829 3036 3392 3498 3561 3608 3657 3772 3936 4048 4346 4416 4664 4748 4876 5088 5412 5658 6072 6519 6996 7122 7216 7314 7544 7872 8096 8692 9328 9496 9752 10176 10373 10824 11316 12144 13038 13057 13409 13992 14244 14432 14628 15088 16192 17384 18656 18992 19504 20746 21648 22632 23903 24288 26076 26114 26818 27301 27984 28488 28864 29256 30176 31119 34768 37312 37984 39008 39171 40227 41492 43296 45264 47806 48576 48667 49979 52152 52228 53636 54602 55968 56976 58512 60352 62238 62911 69536 71709 75968 78016 78342 80454 81903 82984 86592 90528 95612 97334 99958 104304 104456 107272 109204 111936 113952 117024 124476 125822 139072 143418 146001 149937 156684 160908 163806 165968 181056 188733 191224 194668 199916 208608 208912 214544 218408 227904 234048 248952 251644 286836 292002 299874 300311 313368 321816 327612 331936 377466 382448 389336 399832 417216 417824 429088 436816 497904 503288 535337 549769 573672 584004 599748 600622 626736 643632 655224 663872 692021 754932 764896 778672 799664 835648 858176 873632 900933 995808 1006576 1070674 1099538 1119341 1147344 1168008 1199496 1201244 1253472 1287264 1310448 1384042 1408969 1446953 1509864 1529792 1557344 1599328 1606011 1649307 1747264 1801866 1991616 2013152 2076063 2141348 2199076 2238682 2294688 2336016 2398992 2402488 2506944 2574528 2579351 2620896 2768084 2817938 2893906 3019728 3114688 3198656 3212022 3298614 3358023 3603732 4026304 4152126 4226907 4282696 4340859 4398152 4477364 4589376 4672032 4797984 4804976 5158702 5241792 5536168 5635876 5787812 6039456 6424044 6597228 6716046 7207464 7738053 8304252 8453814 8565392 8681718 8796304 8954728 9344064 9595968 9609952 10317404 11072336 11271752 11575624 12078912 12312751 12848088 13194456 13432092 14414928 15476106 15498659 15916483 16608504 16907628 17130784 17363436 17592608 17909456 19219904 20634808 22144672 22543504 23151248 24625502 25696176 26388912 26864184 28372861 28829856 30952212 30997318 31832966 32406287 33217008 33815256 34261568 34726872 35185216 35818912 36938253 41269616 44289344 45087008 46302496 46495977 47749449 49251004 51392352 52777824 53728368 56745722 57659712 57767729 59325073 61904424 61994636 63665932 64812574 66434016 67630512 69453744 71637824 73876506 74675357 82539232 85118583 90174016 92604992 92991954 95498898 97218861 98502008 102784704 105555648 107456736 113491444 115535458 118650146 123808848 123989272 127331864 129625148 132868032 135261024 138907488 147753012 149350714 165078464 170237166 173303187 177975219 185983908 190997796 194437722 197004016 214913472 224026071 226982888 231070916 237300292 247617696 247978544 254663728 259250296 270522048 277814976 295506024 298701428 340474332 346606374 355950438 356469157 371967816 381995592 388875444 394008032 448052142 453965776 462141832 474600584 495235392 495957088 509327456 518500592 591012048 597402856 635445019 652575803 680948664 693212748 711900876 712938314 743935632 763991184 777750888 788016064 821428927 896104284 907931552 924283664 949201168 991914176 1018654912 1037001184 1069407471 1182024096 1194805712 1270890038 1305151606 1328657767 1361897328 1386425496 1423801752 1425876628 1487871264 1527982368 1555501776 1642857854 1717533211 1792208568 1815863104 1848567328 1898402336 1906335057 1957727409 2074002368 2138814942 2364048192 2389611424 2464286781 2541780076 2610303212 2657315534 2723794656 2772850992 2847603504 2851753256 2975742528 3055964736 3061689637 3111003552 3285715708 3435066422 3584417136 3697134656 3796804672 3812670114 3915454818 3985973301 4277629884 4779222848 4928573562 5083560152 5152599633 5220606424 5314631068 5447589312 5545701984 5695207008 5703506512 6123379274 6222007104 6571431416 6870132844 7168834272 7625340228 7830909636 7971946602 8555259768 9185068911 9857147124 10167120304 10305199266 10441212848 10629262136 11091403968 11390414016 11407013024 12246758548 13142862832 13740265688 14337668544 14615235437 15250680456 15661819272 15943893204 17110519536 18370137822 18892865321 19714294248 20334240608 20610398532 20882425696 21258524272 22814026048 24493517096 26285725664 27480531376 29230470874 30501360912 31323638544 31887786408 33678586007 34221039072 36740275644 37785730642 39428588496 40668481216 41220797064 41764851392 42517048544 43845706311 48987034192 52571451328 54961062752 56678595963 58460941748 61002721824 62647277088 63775572816 67357172014 68442078144 70418861651 73480551288 75571461284 78857176992 82441594128 85034097088 87691412622 97974068384 101035758021 109922125504 113357191926 116921883496 122005443648 125294554176 127551145632 134714344028 140837723302 146961102576 151142922568 157714353984 164883188256 175382825244 195948136768 202071516042 211256584953 226714383852 233843766992 255102291264 269428688056 281675446604 293922205152 302285845136 329766376512 350765650488 404143032084 422513169906 453428767704 467687533984 538857376112 563350893208 587844410304 604571690272 701531300976 774607478161 808286064168 845026339812 906857535408 935375067968 1077714752224 1126701786416 1209143380544 1403062601952 1549214956322 1616572128336 1690052679624 1813715070816 2155429504448 2253403572832 2323822434483 2806125203904 3098429912644 3233144256672 3380105359248 3627430141632 4506807145664 4647644868966 6196859825288 6466288513344 6760210718496 9295289737932 12393719650576 13520421436992 18590579475864 24787439301152 37181158951728 49574878602304 74362317903456 148724635806912
• Sum of all divisors σ(n): 467914730863104
• Sum of proper divisors (its aliquot sum) s(n): 319190095056192
• 148724635806912 is an abundant number, because the sum of its proper divisors (319190095056192) is greater than itself. Its abundance is 170465459249280

Bases of 148724635806912

• Binary: 100001110100001110100111000101100010110011000000₂
• Hexadecimal: 0x8743A7162CC0
• Base-36: 1GPV5K7B9C

Squares and roots of 148724635806912

• 148724635806912 squared (148724635806912²) is 22119017295898611005346975744
• 148724635806912 cubed (148724635806912³) is 3289642791739308403045352019426792331542528
• The square root of 148724635806912 is 12195271.0427817881
• The cube root of 148724635806912 is 52981.9133499051

Scales and comparisons

• 148,724,635,806,912 seconds is equal to 4,728,983 years, 19 weeks, 6 days, 11 hours, 15 minutes, 12 seconds.
• To count from 1 to 148,724,635,806,912 would take you about eleven million, eight hundred twenty-two thousand, four 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 148724635806912 cubic inches would be around 4415.2 feet tall.

Recreational maths with 148724635806912

• 148724635806912 backwards is 219608536427841
• 148724635806912 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 148724635806912's digits is 66
• More coming soon!