29729828625901248

Names of 29729828625901248

• Cardinal: 29729828625901248 can be written as Twenty-nine quadrillion, seven hundred twenty-nine trillion, eight hundred twenty-eight billion, six hundred twenty-five million, nine hundred one thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 2.9729828625901248 × 10¹⁶

Factors of 29729828625901248

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7682

Divisors of 29729828625901248

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 169 192 208 254 312 338 381 416 507 508 624 676 762 832 1014 1016 1248 1352 1524 1651 2028 2032 2496 2704 3048 3302 4056 4064 4953 5408 6096 6604 7537 8112 8128 9906 10816 12192 13208 15074 16129 16224 19812 21463 22611 24384 26416 30148 32258 32448 39624 42926 45222 48387 52832 60296 64389 64516 79248 85852 90444 96774 97981 105664 120592 128778 129032 158496 171704 180888 193548 195962 209677 241184 257556 258064 293943 316992 343408 361776 387096 391924 419354 482368 515112 516128 587886 629031 686816 723552 774192 783848 838708 957199 1030224 1032256 1175772 1258062 1273753 1373632 1447104 1548384 1567696 1677416 1914398 2060448 2351544 2516124 2547506 2725801 2871597 3096768 3135392 3354832 3821259 3828796 4120896 4703088 5032248 5095012 5451602 5743194 6270784 6709664 7642518 7657592 8177403 9406176 10064496 10190024 10903204 11486388 12443587 13419328 15285036 15315184 16354806 18812352 20128992 20380048 21806408 22972776 24887174 30570072 30630368 32709612 37330761 40257984 40760096 43612816 45945552 49774348 56806369 61140144 61260736 65419224 74661522 81520192 87225632 91891104 99548696 113612738 121564273 122280288 130838448 149323044 161766631 170419107 174451264 183782208 199097392 227225476 243128546 244560576 261676896 298646088 323533262 340838214 364692819 398194784 454450952 485299893 486257092 523353792 597292176 647066524 681676428 729385638 738482797 796389568 908901904 970599786 972514184 1194584352 1294133048 1363352856 1458771276 1476965594 1580335549 1817803808 1941199572 1945028368 2215448391 2389168704 2588266096 2726705712 2917542552 2953931188 3160671098 3635607616 3882399144 3890056736 4430896782 4741006647 5176532192 5453411424 5835085104 5907862376 6321342196 7214408863 7764798288 7780113472 8861793564 9482013294 9600276361 10353064384 10906822848 11670170208 11815724752 12642684392 14428817726 15529596576 17723587128 18964026588 19200552722 20544362137 21643226589 23340340416 23631449504 25285368784 28800829083 28857635452 31059193152 35447174256 37928053176 38401105444 41088724274 43286453178 47262899008 50570737568 57601658166 57715270904 61633086411 70894348512 75856106352 76802210888 82177448548 86572906356 93787315219 101141475136 115203316332 115430541808 123266172822 141788697024 151712212704 153604421776 164354897096 173145812712 187574630438 230406632664 230861083616 246532345644 281361945657 303424425408 307208843552 328709794192 346291625424 375149260876 460813265328 461722167232 493064691288 562723891314 614417687104 657419588384 692583250848 750298521752 916229925601 921626530656 986129382576 1125447782628 1219235097847 1314839176768 1385166501696 1500597043504 1832459851202 1843253061312 1972258765152 2250895565256 2438470195694 2748689776803 3001194087008 3657705293541 3664919702404 3944517530304 4501791130512 4876940391388 5497379553606 6002388174016 7315410587082 7329839404808 9003582261024 9753880782776 10994759107212 11910989032813 14630821174164 14659678809616 18007164522048 19507761565552 21989518214424 23821978065626 29261642348328 29319357619232 35732967098439 39015523131104 43979036428848 47643956131252 58523284696656 58638715238464 71465934196878 78031046262208 87958072857696 95287912262504 117046569393312 142931868393756 154842857426569 175916145715392 190575824525008 234093138786624 285863736787512 309685714853138 381151649050016 464528572279707 571727473575024 619371429706276 762303298100032 929057144559414 1143454947150048 1238742859412552 1858114289118828 2286909894300096 2477485718825104 3716228578237656 4954971437650208 7432457156475312 9909942875300416 14864914312950624 29729828625901248
• Sum of all divisors σ(n): 85863752354507436
• Sum of proper divisors (its aliquot sum) s(n): 56133923728606188
• 29729828625901248 is an abundant number, because the sum of its proper divisors (56133923728606188) is greater than itself. Its abundance is 26404095102704940

Bases of 29729828625901248

• Binary: 1101001100111110001111100100010011110101110011011000000₂
• Hexadecimal: 0x699F1F227AE6C0
• Base-36: 84QCEQ2FLXC

Squares and roots of 29729828625901248

• 29729828625901248 squared (29729828625901248²) is 883862710125457287803060247957504
• 29729828625901248 cubed (29729828625901248³) is 26277086900854476915917432052044532645103204564992
• The square root of 29729828625901248 is 172423399.2992286647
• The cube root of 29729828625901248 is 309787.6750236225

Scales and comparisons

• 29,729,828,625,901,248 seconds is equal to 945,316,589 years, 47 weeks, 17 hours, 48 seconds.
• To count from 1 to 29,729,828,625,901,248 would take you about two billion, eight hundred thirty-five million, nine hundred forty-nine thousand, seven hundred sixty-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 29729828625901248 cubic inches would be around 25815.6 feet tall.

Recreational maths with 29729828625901248

• 29729828625901248 backwards is 84210952682892792
• The number of decimal digits it has is: 17
• The sum of 29729828625901248's digits is 84
• More coming soon!