46974824106966

Names of 46974824106966

• Cardinal: 46974824106966 can be written as Forty-six trillion, nine hundred seventy-four billion, eight hundred twenty-four million, one hundred six thousand, nine hundred sixty-six.

Scientific notation

• Scientific notation: 4.6974824106966 × 10¹³

Factors of 46974824106966

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 612

Divisors of 46974824106966

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 167 189 243 294 334 343 378 433 441 486 501 567 686 729 866 882 1002 1029 1134 1169 1299 1323 1458 1503 1701 2058 2187 2338 2598 2646 3006 3031 3087 3402 3507 3897 3969 4374 4509 5103 6062 6174 7014 7794 7938 8183 9018 9093 9261 10206 10521 11691 11907 13527 15309 16366 18186 18522 21042 21217 23382 23814 24549 27054 27279 27783 30618 31563 35073 35721 40581 42434 49098 54558 55566 57281 63126 63651 70146 71442 72311 73647 81162 81837 83349 94689 105219 107163 114562 121743 127302 144622 147294 148519 163674 166698 171843 187489 189378 190953 210438 214326 216933 220941 243486 245511 250047 284067 297038 315657 343686 365229 374978 381906 433866 441882 445557 491022 500094 506177 515529 562467 568134 572859 631314 650799 662823 730458 736533 750141 852201 891114 946971 1012354 1031058 1124934 1145718 1301598 1312423 1325646 1336671 1473066 1500282 1518531 1546587 1687401 1704402 1718577 1893942 1952397 1988469 2209599 2556603 2624846 2673342 3037062 3093174 3374802 3437154 3543239 3904794 3937269 3976938 4010013 4419198 4555593 4639761 5062203 5113206 5155731 5857191 5965407 6628797 7086478 7874538 8020026 9111186 9186961 9279522 10124406 10311462 10629717 11714382 11811807 11930814 12030039 13257594 13666779 13919283 15186609 15467193 17571573 17896221 18373922 21259434 23623614 24060078 24802673 27333558 27560883 27838566 30373218 30934386 31310663 31889151 35143146 35435421 35792442 36090117 41000337 41757849 45559827 46401579 49605346 52714719 55121766 62621326 63778302 64308727 70870842 72180234 74408019 82000674 82682649 83515698 91119654 92803158 93931989 95667453 105429438 106306263 108270351 123001011 125273547 128617454 136679481 148816038 158144157 165365298 187863978 191334906 192926181 212612526 216540702 219174641 223224057 246002022 248047947 250547094 273358962 281795967 287002359 316288314 318918789 324811053 369003033 385852362 410038443 438349282 446448114 496095894 563591934 574004718 578778543 637837578 649622106 657523923 669672171 738006066 744143841 820076886 845387901 861007077 956756367 1107009099 1157557086 1315047846 1339344342 1488287682 1534222487 1690775802 1722014154 1736335629 1913512734 1972571769 2009016513 2214018198 2232431523 2536163703 2583021231 2870269101 3068444974 3472671258 3945143538 4018033026 4464863046 4602667461 5072327406 5166042462 5209006887 5740538202 5917715307 6027049539 6697294569 7608491109 7749063693 9205334922 10418013774 10739557409 11835430614 12054099078 13394589138 13808002383 15216982218 15498127386 15627020661 17753145921 18081148617 20091883707 21479114818 22825473327 27616004766 31254041322 32218672227 35506291842 36162297234 40183767414 41424007149 45650946654 46881061983 53259437763 54243445851 64437344454 68476419981 82848014298 93762123966 96656016681 106518875526 108486891702 124272021447 136952839962 140643185949 159778313289 193312033362 248544042894 281286371898 289968050043 319556626578 372816064341 479334939867 579936100086 745632128682 869904150129 958669879734 1118448193023 1739808300258 2236896386046 2609712450387 3355344579069 5219424900774 6710689158138 7829137351161 15658274702322 23487412053483 46974824106966
• Sum of all divisors σ(n): 124263707904000
• Sum of proper divisors (its aliquot sum) s(n): 77288883797034
• 46974824106966 is an abundant number, because the sum of its proper divisors (77288883797034) is greater than itself. Its abundance is 30314059690068

Bases of 46974824106966

• Binary: 1010101011100100101101101101000100101111010110₂
• Hexadecimal: 0x2AB92DB44BD6
• Base-36: GNFXPF3DI

Squares and roots of 46974824106966

• 46974824106966 squared (46974824106966²) is 2206634099880394059409725156
• 46974824106966 cubed (46974824106966³) is 103656248710314755119223614050293205036696
• The square root of 46974824106966 is 6853818.2137379453
• The cube root of 46974824106966 is 36081.8160037517

Scales and comparisons

• 46,974,824,106,966 seconds is equal to 1,493,654 years, 5 weeks, 2 days, 19 hours, 56 minutes, 6 seconds.
• To count from 1 to 46,974,824,106,966 would take you about three million, seven hundred thirty-four thousand, one hundred thirty-five 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 46974824106966 cubic inches would be around 3006.8 feet tall.

Recreational maths with 46974824106966

• 46974824106966 backwards is 66960142847964
• The number of decimal digits it has is: 14
• The sum of 46974824106966's digits is 72
• More coming soon!