29718252137040012

Names of 29718252137040012

• Cardinal: 29718252137040012 can be written as Twenty-nine quadrillion, seven hundred eighteen trillion, two hundred fifty-two billion, one hundred thirty-seven million, forty thousand and twelve.

Scientific notation

• Scientific notation: 2.9718252137040012 × 10¹⁶

Factors of 29718252137040012

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2046693

Divisors of 29718252137040012

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 88452 179989 359978 539967 719956 1079934 1259923 1619901 1866679 2159868 2339857 2519846 3239802 3733358 3779769 4679714 4859703 5039692 5600037 6479604 7019571 7466716 7559538 9359428 9719406 11200074 11339307 13066753 14039142 14579109 15119076 16378999 16800111 19438812 21058713 22400148 22678614 24266827 26133506 28078284 29158218 32757998 33600222 34017921 39200259 42117426 43737327 45357228 48533654 49136997 50400333 52267012 58316436 63176139 65515996 67200444 68035842 72800481 78400518 84234852 87474654 97067308 98273994 100800666 102053763 117600777 126352278 136071684 145600962 147410991 151200999 156801036 169867789 174949308 189528417 196547988 201601332 204107526 218401443 235201554 252704556 291201924 294821982 302401998 306161289 339735578 352802331 379056834 408215052 436802886 442232973 453602997 470403108 509603367 568585251 589643964 604803996 612322578 655204329 679471156 705604662 758113668 873605772 884465946 907205994 1019206734 1058406993 1137170502 1224645156 1310408658 1326698919 1411209324 1528810101 1768931892 1814411988 1965612987 2038413468 2116813986 2274341004 2620817316 2653397838 3057620202 3175220979 3931225974 3980096757 4233627972 4586430303 5306795676 5896838961 6115240404 6350441958 7862451948 7960193514 9172860606 11793677922 12700883916 13759290909 15920387028 18345721212 23587355844 27518581818 41277872727 55037163636 82555745454 165111490908 335981686531 671963373062 1007945059593 1343926746124 2015890119186 2351871805717 3023835178779 4031780238372 4367761924903 4703743611434 6047670357558 7055615417151 8735523849806 9071505536337 9407487222868 12095340715116 13103285774709 14111230834302 17471047699612 18143011072674 21166846251453 26206571549418 27214516609011 28222461668604 30574333474321 36286022145348 39309857324127 42333692502906 52413143098836 54429033218022 61148666948642 63500538754359 78619714648254 81643549827033 84667385005812 91723000422963 108858066436044 117929571972381 122297333897284 127001077508718 157239429296508 163287099654066 183446000845926 190501616263077 235859143944762 254002155017436 275169001268889 326574199308132 353788715917143 366892001691852 381003232526154 471718287889524 550338002537778 571504848789231 707577431834286 762006465052308 825507003806667 1061366147751429 1100676005075556 1143009697578462 1415154863668572 1651014007613334 2122732295502858 2286019395156924 2476521011420001 3302028015226668 4245464591005716 4953042022840002 7429563034260003 9906084045680004 14859126068520006 29718252137040012
• Sum of all divisors σ(n): 95881693845683200
• Sum of proper divisors (its aliquot sum) s(n): 66163441708643188
• 29718252137040012 is an abundant number, because the sum of its proper divisors (66163441708643188) is greater than itself. Its abundance is 36445189571603176

Bases of 29718252137040012

• Binary: 1101001100101001001011111000101111110010100100010001100₂
• Hexadecimal: 0x699497C5F9488C
• Base-36: 84M8OK3V0R0

Squares and roots of 29718252137040012

• 29718252137040012 squared (29718252137040012²) is 883174510080683240178012888960144
• 29718252137040012 cubed (29718252137040012³) is 26246402771584530323337664095559345787540801281728
• The square root of 29718252137040012 is 172389826.0833278177
• The cube root of 29718252137040012 is 309747.4604274951

Scales and comparisons

• 29,718,252,137,040,012 seconds is equal to 944,948,493 years, 19 weeks, 1 day, 2 hours, 40 minutes, 12 seconds.
• To count from 1 to 29,718,252,137,040,012 would take you about two billion, eight hundred thirty-four million, eight hundred forty-five thousand, four hundred eighty 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 29718252137040012 cubic inches would be around 25812.3 feet tall.

Recreational maths with 29718252137040012

• 29718252137040012 backwards is 21004073125281792
• 29718252137040012 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 29718252137040012's digits is 54
• More coming soon!