513948150768

Names of 513948150768

• Cardinal: 513948150768 can be written as Five hundred thirteen billion, nine hundred forty-eight million, one hundred fifty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 5.13948150768 × 10¹¹

Factors of 513948150768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 724

Divisors of 513948150768

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 19 24 26 38 39 43 48 52 57 76 78 86 97 104 114 129 152 156 172 194 208 228 247 258 291 304 312 344 361 388 456 494 516 547 559 582 624 688 722 741 776 817 912 988 1032 1083 1094 1118 1164 1261 1444 1482 1552 1634 1641 1677 1843 1976 2064 2166 2188 2236 2328 2451 2522 2888 2964 3268 3282 3354 3686 3783 3952 4171 4332 4376 4472 4656 4693 4902 5044 5529 5776 5928 6536 6564 6708 7111 7372 7566 8342 8664 8752 8944 9386 9804 10088 10393 10621 11058 11856 12513 13072 13128 13416 14079 14222 14744 15132 15523 16684 17328 18772 19608 20176 20786 21242 21333 22116 23521 23959 25026 26256 26832 28158 28444 29488 30264 31046 31179 31863 33368 35017 37544 39216 41572 42484 42666 44232 46569 47042 47918 50052 53059 54223 56316 56888 60528 62092 62358 63726 66736 70034 70563 71877 75088 79249 83144 84968 85332 88464 93138 94084 95836 100104 105051 106118 108446 112632 113776 124184 124716 127452 135109 140068 141126 143754 158498 159177 162669 166288 169936 170664 186276 188168 191672 197467 200208 201799 210102 212236 216892 225264 237747 248368 249432 254904 270218 280136 282252 287508 305773 316996 318354 325338 341328 372552 376336 383344 394934 403598 405327 420204 424472 433784 446899 455221 475494 498864 509808 540436 560272 564504 575016 592401 605397 611546 633992 636708 650676 689767 745104 789868 807196 810654 840408 848944 867568 893798 910442 917319 950988 1008121 1030237 1080872 1129008 1150032 1184802 1210794 1223092 1267984 1273416 1301352 1340697 1365663 1379534 1505731 1579736 1614392 1621308 1680816 1787596 1820884 1834638 1901976 2016242 2060474 2069301 2161744 2281537 2369604 2421588 2446184 2546832 2567071 2602704 2681394 2731326 2759068 3011462 3024363 3090711 3159472 3228784 3242616 3575192 3641768 3669276 3803952 4032484 4120948 4138602 4517193 4563074 4739208 4843176 4892368 5134142 5362788 5462652 5518136 5809687 6022924 6048726 6181422 6485232 6844611 7150384 7283536 7338552 7701213 8064968 8241896 8277204 8491081 9034386 9126148 9478416 9686352 10268284 10725576 10925304 11036272 11619374 12045848 12097452 12362844 13105573 13689222 14677104 15402426 16129936 16483792 16554408 16982162 17429061 18068772 18252296 19154299 19574503 20536568 21451152 21850608 23238748 24091696 24194904 24725688 25473243 26211146 27378444 29659981 30804852 33108816 33964324 34858122 36137544 36504592 38308598 39149006 39316719 41073136 43349203 46477496 48389808 49451376 50946486 52422292 54756888 57462897 58723509 59319962 61609704 67928648 69716244 72275088 76617196 78298012 78633438 86698406 88979943 92954992 101892972 104844584 109513776 110384053 114925794 117447018 118639924 123219408 130047609 135857296 139432488 153234392 156596024 157266876 173396812 177959886 203785944 209689168 220768106 229851588 234894036 237279848 249005887 260095218 278864976 306468784 313192048 314533752 331152159 346793624 355919772 407571888 441536212 459703176 469788072 474559696 498011774 520190436 563539639 629067504 662304318 693587248 711839544 747017661 823634857 883072424 919406352 939576144 996023548 1040380872 1127079278 1324608636 1423679088 1494035322 1647269714 1690618917 1766144848 1992047096 2080761744 2254158556 2470904571 2649217272 2988070644 3294539428 3381237834 3984094192 4508317112 4941809142 5298434544 5976141288 6589078856 6762475668 9016634224 9883618284 10707253141 11952282576 13178157712 13524951336 19767236568 21414506282 27049902672 32121759423 39534473136 42829012564 64243518846 85658025128 128487037692 171316050256 256974075384 513948150768
• Sum of all divisors σ(n): 1562910134016
• Sum of proper divisors (its aliquot sum) s(n): 1048961983248
• 513948150768 is an abundant number, because the sum of its proper divisors (1048961983248) is greater than itself. Its abundance is 535013832480

Bases of 513948150768

• Binary: 111011110101001101100100110101111110000₂
• Hexadecimal: 0x77A9B26BF0
• Base-36: 6K3RGJ5C

Squares and roots of 513948150768

• 513948150768 squared (513948150768²) is 264142701677846858989824
• 513948150768 cubed (513948150768³) is 135755653066192884049717301329784832
• The square root of 513948150768 is 716901.7720496999
• The cube root of 513948150768 is 8010.1337764849

Scales and comparisons

• 513,948,150,768 seconds is equal to 16,341 years, 49 weeks, 6 days, 23 hours, 12 minutes, 48 seconds.
• To count from 1 to 513,948,150,768 would take you about thirty-two thousand, six hundred eighty-three 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 513948150768 cubic inches would be around 667.5 feet tall.

Recreational maths with 513948150768

• 513948150768 backwards is 867051849315
• 513948150768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 513948150768's digits is 57
• More coming soon!