29628825504768

Names of 29628825504768

• Cardinal: 29628825504768 can be written as Twenty-nine trillion, six hundred twenty-eight billion, eight hundred twenty-five million, five hundred four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.9628825504768 × 10¹³

Factors of 29628825504768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 79909

Divisors of 29628825504768

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 84 96 101 108 112 114 126 128 133 144 152 168 171 189 192 202 216 224 228 252 256 266 288 303 304 336 342 378 384 399 404 432 448 456 504 512 513 532 576 606 608 672 684 707 756 768 798 808 864 896 909 912 1008 1024 1026 1064 1152 1197 1212 1216 1344 1368 1414 1512 1536 1596 1616 1728 1792 1818 1824 1919 2016 2052 2121 2128 2304 2394 2424 2432 2688 2727 2736 2828 3024 3072 3192 3232 3456 3584 3591 3636 3648 3838 4032 4104 4242 4256 4608 4788 4848 4864 5376 5454 5472 5656 5757 6048 6363 6384 6464 6912 7168 7182 7272 7296 7676 8064 8208 8484 8512 9216 9576 9696 9728 10752 10908 10944 11312 11514 12096 12726 12768 12928 13433 13824 14364 14544 14592 15352 16128 16416 16968 17024 17271 19089 19152 19392 19456 21504 21816 21888 22624 23028 24192 25452 25536 25856 26866 27648 28728 29088 29184 30704 32256 32832 33936 34048 34542 38178 38304 38784 40299 43632 43776 45248 46056 48384 50904 51072 51712 51813 53732 57456 58176 58368 61408 64512 65664 67872 68096 69084 76356 76608 77568 79777 80598 87264 87552 90496 92112 96768 101808 102144 103424 103626 107464 114912 116352 120897 122816 131328 135744 136192 138168 152712 153216 155136 159554 161196 174528 175104 180992 184224 193536 203616 204288 207252 214928 229824 232704 239331 241794 245632 262656 271488 276336 305424 306432 310272 319108 322392 349056 361984 362691 368448 407232 408576 414504 429856 459648 465408 478662 483588 491264 525312 542976 552672 558439 610848 612864 638216 644784 698112 717993 723968 725382 736896 814464 829008 859712 919296 930816 957324 967176 982528 1085952 1105344 1116878 1221696 1225728 1276432 1289568 1396224 1435986 1450764 1473792 1515763 1628928 1658016 1675317 1719424 1838592 1914648 1934352 1965056 2153979 2171904 2210688 2233756 2443392 2552864 2579136 2792448 2871972 2901528 2947584 3031526 3257856 3316032 3350634 3438848 3677184 3829296 3868704 4307958 4421376 4467512 4547289 4886784 5025951 5105728 5158272 5743944 5803056 5895168 6063052 6515712 6632064 6701268 6877696 7658592 7737408 8057477 8615916 8842752 8935024 9094578 9773568 10051902 10211456 10316544 10610341 11487888 11606112 12126104 13264128 13402536 13641867 13755392 15077853 15317184 15474816 16114954 17231832 17685504 17870048 18189156 19547136 20103804 20422912 20633088 21220682 22975776 23212224 24172431 24252208 26528256 26805072 27283734 30155706 30634368 30949632 31831023 32229908 34463664 35740096 36378312 40207608 40845824 40925601 41266176 42441364 45951552 46424448 48344862 48504416 53056512 53610144 54567468 56402339 60311412 61268736 61899264 63662046 64459816 68927328 71480192 72517293 72756624 80415216 81691648 81851202 84882728 91903104 92848896 95493069 96689724 97008832 107220288 109134936 112804678 120622824 122537472 123798528 127324092 128919632 137854656 142960384 145034586 145513248 153092063 160830432 163702404 169207017 169765456 183806208 185697792 190986138 193379448 194017664 214440576 217551879 218269872 225609356 241245648 245074944 254648184 257839264 275709312 285920768 286479207 290069172 291026496 306184126 321660864 327404808 338414034 339530912 367612416 371395584 381972276 386758896 388035328 428881152 435103758 436539744 451218712 459276189 482491296 507621051 509296368 515678528 551418624 571841536 572958414 580138344 582052992 612368252 643321728 654809616 676828068 679061824 735224832 763944552 773517792 776070656 857762304 870207516 873079488 902437424 918552378 964982592 1015242102 1018592736 1031357056 1071644441 1102837248 1145916828 1160276688 1164105984 1224736504 1286643456 1309619232 1353656136 1358123648 1377828567 1522863153 1527889104 1547035584 1552141312 1715524608 1740415032 1746158976 1804874848 1837104756 1929965184 2030484204 2037185472 2062714112 2143288882 2205674496 2291833656 2320553376 2328211968 2449473008 2573286912 2619238464 2707312272 2716247296 2755657134 3045726306 3055778208 3094071168 3214933323 3480830064 3492317952 3609749696 3674209512 3859930368 4060968408 4074370944 4125428224 4133485701 4286577764 4583667312 4641106752 4656423936 4898946016 5146573824 5238476928 5414624544 5432494592 5511314268 6091452612 6111556416 6188142336 6429866646 6961660128 6984635904 7219499392 7348419024 7719860736 8121936816 8148741888 8250856448 8266971402 8573155528 9167334624 9282213504 9644799969 9797892032 10476953856 10829249088 10864989184 11022628536 12182905224 12223112832 12376284672 12859733292 13923320256 13969271808 14438998784 14696838048 15439721472 16243873632 16297483776 16533942804 17146311056 18334669248 18564427008 19289599938 19595784064 20953907712 21658498176 22045257072 24365810448 24446225664 24752569344 25719466584 27846640512 28877997568 28934399907 29393676096 32487747264 32594967552 33067885608 34292622112 36669338496 37128854016 38579199876 39191568128 41907815424 43316996352 44090514144 48731620896 48892451328 51438933168 55693281024 57755995136 57868799814 58787352192 64975494528 66135771216 68585244224 73338676992 74257708032 77158399752 78383136256 86633992704 88181028288 97463241792 97784902656 102877866336 111386562048 115737599628 117574704384 129950989056 132271542432 137170488448 146677353984 154316799504 156766272512 173267985408 176362056576 194926483584 205755732672 222773124096 231475199256 235149408768 259901978112 264543084864 274340976896 293354707968 308633599008 352724113152 389852967168 411511465344 462950398512 470298817536 519803956224 529086169728 548681953792 617267198016 705448226304 779705934336 823022930688 925900797024 1058172339456 1097363907584 1234534396032 1410896452608 1559411868672 1646045861376 1851801594048 2116344678912 2469068792064 3292091722752 3703603188096 4232689357824 4938137584128 7407206376192 9876275168256 14814412752384 29628825504768
• Sum of all divisors σ(n): 106605873484800
• Sum of proper divisors (its aliquot sum) s(n): 76977047980032
• 29628825504768 is an abundant number, because the sum of its proper divisors (76977047980032) is greater than itself. Its abundance is 47348222475264

Bases of 29628825504768

• Binary: 110101111001001111111100111101000110000000000₂
• Hexadecimal: 0x1AF27F9E8C00
• Base-36: AI3ALPMO0

Squares and roots of 29628825504768

• 29628825504768 squared (29628825504768²) is 877867300791990729990733824
• 29628825504768 cubed (29628825504768³) is 26010177071507576426689280888839530872832
• The square root of 29628825504768 is 5443236.6754319989
• The cube root of 29628825504768 is 30943.6456236127

Scales and comparisons

• 29,628,825,504,768 seconds is equal to 942,105 years, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 29,628,825,504,768 would take you about two million, three hundred fifty-five thousand, two hundred sixty-two 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 29628825504768 cubic inches would be around 2578.6 feet tall.

Recreational maths with 29628825504768

• 29628825504768 backwards is 86740552882692
• 29628825504768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 29628825504768's digits is 72
• More coming soon!