34744966825968

Names of 34744966825968

• Cardinal: 34744966825968 can be written as Thirty-four trillion, seven hundred forty-four billion, nine hundred sixty-six million, eight hundred twenty-five thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4744966825968 × 10¹³

Factors of 34744966825968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 37518

Divisors of 34744966825968

• Number of divisors d(n): 560
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 233 243 252 294 324 336 343 378 392 432 441 466 486 504 567 588 648 686 699 729 756 784 882 932 972 1008 1029 1134 1176 1296 1323 1372 1398 1458 1512 1631 1701 1764 1864 1944 2058 2097 2268 2352 2646 2744 2796 2916 3024 3087 3262 3402 3528 3728 3888 3969 4116 4194 4536 4893 5103 5292 5488 5592 5832 6174 6291 6524 6804 7056 7938 8232 8388 9072 9261 9786 10206 10584 11184 11417 11664 11907 12348 12582 13048 13608 14679 15876 16464 16776 18522 18873 19572 20412 21168 22834 23814 24696 25164 26096 27216 27783 29358 31752 33552 34251 35721 37044 37273 37746 39144 40824 44037 45668 47628 49392 50328 55566 56619 58716 63504 68502 71442 74088 74546 75492 78288 79919 81648 83349 88074 91336 95256 100656 102753 111132 111819 113238 117432 132111 137004 142884 148176 149092 150984 159838 166698 169857 176148 182672 190512 205506 222264 223638 226476 234864 239757 250047 260911 264222 274008 285768 298184 301968 308259 319676 333396 335457 339714 352296 396333 411012 444528 447276 452952 479514 500094 521822 528444 548016 571536 596368 616518 639352 666792 670914 679428 704592 719271 782733 792666 822024 894552 905904 924777 959028 1000188 1006371 1043644 1056888 1188999 1233036 1278704 1333584 1341828 1358856 1438542 1565466 1585332 1644048 1789104 1826377 1849554 1918056 2000376 2012742 2087288 2113776 2157813 2348199 2377998 2466072 2683656 2717712 2774331 2877084 3019113 3130932 3170664 3652754 3699108 3836112 4000752 4025484 4174576 4315626 4696398 4755996 4932144 5367312 5479131 5548662 5754168 6038226 6261864 6341328 6473439 7044597 7305508 7398216 8050968 8322993 8631252 8684609 9057339 9392796 9511992 10958262 11097324 11508336 12076452 12523728 12784639 12946878 14089194 14611016 14796432 16101936 16437393 16645986 17262504 17369218 18114678 18785592 19023984 19420317 21133791 21916524 22194648 24152904 25569278 25893756 26053827 27172017 28178388 29222032 32874786 33291972 34525008 34738436 36229356 37571184 38353917 38840634 42267582 43833048 44389296 48305808 49312179 51138556 51787512 52107654 54344034 56356776 58260951 60792263 63401373 65749572 66583944 69476872 72458712 76707834 77681268 78161481 84535164 87666096 98624358 102277112 103575024 104215308 108688068 112713552 115061751 116521902 121584526 126802746 131499144 133167888 138953744 144917424 147936537 153415668 155362536 156322962 169070328 182376789 190204119 197248716 204554224 208430616 217376136 230123502 233043804 234484443 243169052 253605492 262998288 295873074 306831336 310725072 312645924 338140656 345185253 364753578 380408238 394497432 416861232 425545841 434752272 443809611 460247004 466087608 468968886 486338104 507210984 547130367 591746148 613662672 625291848 690370506 703453329 729507156 760816476 788994864 851091682 887619222 920494008 932175216 937937772 972676208 1014421968 1035555759 1094260734 1183492296 1250583696 1276637523 1331428833 1380741012 1406906658 1459014312 1521632952 1641391101 1702183364 1775238444 1840988016 1875875544 2071111518 2110359987 2188521468 2366984592 2553275046 2662857666 2761482024 2813813316 2918028624 2978820887 3043265904 3106667277 3282782202 3404366728 3550476888 3751751088 3829912569 4142223036 4220719974 4377042936 4924173303 5106550092 5325715332 5522964048 5627626632 5957641774 6213334554 6331079961 6565564404 6808733456 7100953776 7659825138 8284446072 8441439948 8754085872 8936462661 9320001831 9848346606 10213100184 10651430664 11255253264 11489737707 11915283548 12426669108 12662159922 13131128808 14772519909 15319650276 16568892144 16882879896 17872925322 18640003662 19696693212 20426200368 21302861328 22979475414 23830567096 24853338216 25324319844 26262257616 26809387983 29545039818 30639300552 33765759792 34469213121 35745850644 37280007324 39393386424 44317559727 45958950828 47661134192 49706676432 50648639688 53618775966 59090079636 61278601104 68938426242 71491701288 74560014648 78786772848 80428163949 88635119454 91917901656 101297279376 103407639363 107237551932 118180159272 137876852484 142983402576 149120029296 160856327898 177270238908 183835803312 206815278726 214475103864 236360318544 241284491847 275753704968 310222918089 321712655796 354540477816 413630557452 428950207728 482568983694 551507409936 620445836178 643425311592 709080955632 723853475541 827261114904 965137967388 1240891672356 1286850623184 1447706951082 1654522229808 1930275934776 2171560426623 2481783344712 2895413902164 3860551869552 4343120853246 4963566689424 5790827804328 8686241706492 11581655608656 17372483412984 34744966825968
• Sum of all divisors σ(n): 118212582571200
• Sum of proper divisors (its aliquot sum) s(n): 83467615745232
• 34744966825968 is an abundant number, because the sum of its proper divisors (83467615745232) is greater than itself. Its abundance is 48722648919264

Bases of 34744966825968

• Binary: 111111001100110110001011001111100011111110000₂
• Hexadecimal: 0x1F99B167C7F0
• Base-36: CBDM85R00

Squares and roots of 34744966825968

• 34744966825968 squared (34744966825968²) is 1207212719737616836399137024
• 34744966825968 cubed (34744966825968³) is 41944565899170101597955481455143593439232
• The square root of 34744966825968 is 5894486.1375668703
• The cube root of 34744966825968 is 32631.0188239885

Scales and comparisons

• 34,744,966,825,968 seconds is equal to 1,104,782 years, 24 weeks, 3 days, 17 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,744,966,825,968 would take you about two million, seven hundred sixty-one thousand, nine hundred fifty-six 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 34744966825968 cubic inches would be around 2719.3 feet tall.

Recreational maths with 34744966825968

• 34744966825968 backwards is 86952866944743
• 34744966825968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34744966825968's digits is 81
• More coming soon!