132688801728

Names of 132688801728

• Cardinal: 132688801728 can be written as One hundred thirty-two billion, six hundred eighty-eight million, eight hundred one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.32688801728 × 10¹¹

Factors of 132688801728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1425

Divisors of 132688801728

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 84 92 96 108 112 126 138 144 161 168 184 189 192 207 216 224 252 276 288 322 336 368 378 414 432 448 483 504 552 576 617 621 644 672 736 756 773 828 864 966 1008 1104 1234 1242 1288 1344 1449 1472 1512 1546 1656 1728 1851 1932 2016 2208 2319 2468 2484 2576 2898 3024 3092 3312 3702 3864 4032 4319 4347 4416 4638 4936 4968 5152 5411 5553 5796 6048 6184 6624 6957 7404 7728 8638 8694 9276 9872 9936 10304 10822 11106 11592 12096 12368 12957 13248 13914 14191 14808 15456 16233 16659 17276 17388 17779 18552 19744 19872 20871 21644 22212 23184 24736 25914 27828 28382 29616 30912 32466 33318 34552 34776 35558 37104 38871 39488 39744 41742 42573 43288 44424 46368 48699 49472 51828 53337 55656 56764 59232 64932 66636 69104 69552 71116 74208 77742 83484 85146 86576 88848 92736 97398 99337 103656 106674 111312 113528 116613 118464 124453 127719 129864 133272 138208 139104 142232 146097 148416 155484 160011 166968 170292 173152 177696 194796 198674 207312 213348 222624 227056 233226 248906 255438 259728 266544 276416 278208 284464 292194 298011 310968 320022 333936 340584 346304 355392 373359 383157 389592 397348 414624 426696 445248 454112 466452 476941 480033 497812 510876 519456 533088 568928 584388 596022 621936 640044 667872 681168 746718 766314 779184 794696 829248 853392 894033 908224 932904 953882 960066 995624 1021752 1038912 1066176 1120077 1137856 1168776 1192044 1243872 1280088 1335744 1362336 1430823 1493436 1532628 1558368 1589392 1706784 1788066 1865808 1907764 1920132 1991248 2043504 2240154 2337552 2384088 2487744 2560176 2682099 2724672 2861646 2986872 3065256 3116736 3178784 3338587 3360231 3413568 3576132 3731616 3815528 3840264 3982496 4087008 4292469 4480308 4675104 4768176 5120352 5364198 5723292 5973744 6130512 6357568 6677174 6720462 7152264 7463232 7631056 7680528 7964992 8174016 8584938 8960616 9350208 9536352 10015761 10240704 10728396 10969643 11446584 11947488 12261024 12877407 13354348 13440924 14304528 15262112 15361056 17169876 17921232 19072704 20031522 21456792 21939286 22893168 23894976 24522048 25754814 26708696 26881848 28609056 30047283 30524224 30722112 32908929 34339752 35842464 40063044 42913584 43878572 45786336 51509628 53417392 53763696 57218112 60094566 65817858 68679504 71684928 76787501 80126088 85827168 87757144 90141849 91572672 98726787 103019256 106834784 107527392 120189132 131635716 137359008 153575002 160252176 171654336 175514288 180283698 197453574 206038512 213669568 215054784 230362503 240378264 263271432 274718016 296180361 307150004 320504352 351028576 360567396 394907148 412077024 460725006 480756528 526542864 592360722 614300008 641008704 691087509 702057152 721134792 789814296 824154048 921450012 961513056 1053085728 1184721444 1228600016 1382175018 1442269584 1579628592 1842900024 1923026112 2073262527 2106171456 2369442888 2457200032 2764350036 2884539168 3159257184 3685800048 4146525054 4738885776 4914400064 5528700072 5769078336 6318514368 7371600096 8293050108 9477771552 11057400144 14743200192 16586100216 18955543104 22114800288 33172200432 44229600576 66344400864 132688801728
• Sum of all divisors σ(n): 466545899520
• Sum of proper divisors (its aliquot sum) s(n): 333857097792
• 132688801728 is an abundant number, because the sum of its proper divisors (333857097792) is greater than itself. Its abundance is 201168296064

Bases of 132688801728

• Binary: 1111011100100110111100110111111000000₂
• Hexadecimal: 0x1EE4DE6FC0
• Base-36: 1OYFHIO0

Squares and roots of 132688801728

• 132688801728 squared (132688801728²) is 17606318104012495785984
• 132688801728 cubed (132688801728³) is 2336161252063410934580866497380352
• The square root of 132688801728 is 364264.7412638231
• The cube root of 132688801728 is 5100.4844052001

Scales and comparisons

• 132,688,801,728 seconds is equal to 4,219 years, 4 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 132,688,801,728 would take you about eight thousand, four hundred thirty-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 132688801728 cubic inches would be around 425 feet tall.

Recreational maths with 132688801728

• 132688801728 backwards is 827108886231
• 132688801728 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 132688801728's digits is 54
• More coming soon!