137838838368

Names of 137838838368

• Cardinal: 137838838368 can be written as One hundred thirty-seven billion, eight hundred thirty-eight million, eight hundred thirty-eight thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37838838368 × 10¹¹

Factors of 137838838368

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 323

Divisors of 137838838368

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 56 58 61 66 77 83 84 87 88 96 112 116 122 127 132 154 166 168 174 176 183 203 224 231 232 244 249 254 264 308 319 332 336 348 352 366 381 406 427 462 464 488 498 508 528 581 609 616 638 664 671 672 696 732 762 812 854 889 913 924 928 957 976 996 1016 1056 1162 1218 1232 1276 1281 1328 1342 1392 1397 1464 1524 1624 1708 1743 1769 1778 1826 1848 1914 1952 1992 2013 2032 2233 2324 2407 2436 2464 2552 2562 2656 2667 2684 2739 2784 2794 2928 3048 3248 3416 3486 3538 3556 3652 3683 3696 3828 3984 4026 4064 4191 4466 4648 4697 4814 4872 5063 5104 5124 5307 5334 5368 5478 5588 5856 6096 6391 6496 6699 6832 6972 7076 7112 7221 7304 7366 7392 7656 7747 7968 8052 8382 8932 9296 9394 9628 9744 9779 10126 10208 10248 10541 10614 10668 10736 10956 11049 11176 12192 12383 12782 13398 13664 13944 14091 14152 14224 14442 14608 14732 15189 15312 15494 16104 16764 16849 17864 18592 18788 19173 19256 19459 19488 19558 20252 20496 21082 21228 21336 21472 21912 22098 22352 23241 24766 25564 25781 26477 26796 27888 28182 28304 28448 28884 29216 29337 29464 30378 30624 30988 31623 32208 33528 33698 35441 35728 37149 37576 38346 38512 38918 39116 40504 40513 40992 42164 42456 42672 43824 44196 44704 46482 49532 50547 51128 51562 52954 53592 54229 55693 55776 56364 56608 57768 58377 58674 58928 60756 61976 63246 64416 67056 67396 70882 71456 73787 74298 75152 76692 77024 77343 77836 78232 79431 81008 81026 84328 84912 85217 85344 87648 88392 92964 99064 101094 102256 103124 105908 106323 107184 108458 111386 112728 115536 115951 116754 117348 117856 121512 121539 123952 126492 134112 134792 136213 141764 146827 147574 148596 150304 153384 154686 155672 156464 158862 162016 162052 162687 167079 168656 169824 170434 176784 185339 185928 198128 202188 204512 206248 211816 212646 214368 216916 221361 222772 224663 225456 231072 231902 233508 234696 243024 243078 247904 252984 255651 269584 272426 283528 283591 293654 295148 297192 305689 306768 309372 311344 312928 317724 324104 325374 334158 337312 340868 347853 353568 370678 371856 389851 396256 404376 408639 412496 423632 425292 433832 440481 442722 445544 449326 450912 463804 467016 469392 486048 486156 505968 511302 539168 544852 556017 567056 567182 587308 590296 594384 596519 611378 613536 618744 622688 635448 643001 648208 650748 668316 673989 681736 695706 741356 743712 779702 808752 811657 817278 824992 847264 850584 850773 867664 880962 885444 891088 898652 917067 927608 934032 938784 972312 1011936 1022604 1027789 1089704 1112034 1134112 1134364 1169553 1174616 1180592 1188768 1193038 1222756 1237488 1270896 1286002 1296416 1301496 1336632 1347978 1363472 1391412 1482712 1559404 1572641 1615097 1617504 1623314 1634556 1701168 1701546 1735328 1761924 1770888 1782176 1789557 1797304 1834134 1855216 1868064 1929003 1944624 2045208 2055578 2139823 2179408 2224068 2268728 2339106 2349232 2361184 2386076 2434971 2445512 2471293 2474976 2541792 2572004 2602992 2673264 2695956 2726944 2782824 2965424 3083367 3118808 3145282 3230194 3246628 3269112 3362579 3402336 3403092 3523848 3541776 3579114 3594608 3668268 3710432 3858006 3889248 4090416 4111156 4279646 4358816 4448136 4501007 4537456 4678212 4698464 4717923 4772152 4845291 4869942 4891024 4942586 5144008 5205984 5346528 5391912 5565648 5930848 6166734 6237616 6290564 6419469 6460388 6493256 6538224 6725158 6806184 7047696 7073011 7083552 7158228 7189216 7336536 7413879 7716012 8180832 8222312 8559292 8896272 9002014 9074912 9356424 9435846 9544304 9690582 9739884 9782048 9885172 10087737 10288016 10783824 11131296 11305679 12333468 12475232 12581128 12838938 12920776 12986512 13076448 13450316 13503021 13612368 14095392 14146022 14316456 14673072 14827758 15432024 16444624 17118584 17299051 17792544 18004028 18647029 18712848 18871692 19088608 19381164 19479768 19770344 20175474 20576032 21219033 21567648 22611358 23538053 24666936 25162256 25677876 25841552 25973024 26900632 27006042 27224736 28292044 28632912 29346144 29655516 30864048 32889248 33917037 34237168 34598102 36008056 37294058 37425696 37743384 38762328 38959536 39540688 40350948 42438066 45222716 47076106 49333872 49511077 50324512 51355752 51683104 51897153 53801264 54012084 55941087 56584088 57265824 59311032 61728096 67834074 68474336 69196204 70614159 72016112 74588116 75486768 77524656 77919072 79081376 80701896 84876132 90445432 94152212 98667744 99022154 102711504 103794306 107602528 108024168 111882174 113168176 118622064 130529203 135668148 138392408 141228318 144032224 148533231 149176232 150973536 155049312 161403792 169752264 180890864 188304424 198044308 205117319 205423008 207588612 216048336 223764348 226336352 237244128 261058406 271336296 276784816 282456636 297066462 298352464 322807584 339504528 361781728 376608848 391587609 396088616 410234638 415177224 432096672 447528696 522116812 542672592 553569632 564913272 594132924 596704928 615351957 679009056 753217696 783175218 792177232 820469276 830354448 895057392 1044233624 1085345184 1129826544 1188265848 1230703914 1435821233 1566350436 1584354464 1640938552 1660708896 1790114784 2088467248 2259653088 2376531696 2461407828 2871642466 3132700872 3281877104 4176934496 4307463699 4753063392 4922815656 5743284932 6265401744 6563754208 8614927398 9845631312 11486569864 12530803488 17229854796 19691262624 22973139728 34459709592 45946279456 68919419184 137838838368
• Sum of all divisors σ(n): 483809034240
• Sum of proper divisors (its aliquot sum) s(n): 345970195872
• 137838838368 is an abundant number, because the sum of its proper divisors (345970195872) is greater than itself. Its abundance is 208131357504

Bases of 137838838368

• Binary: 10000000010111110101011100001001100000₂
• Hexadecimal: 0x2017D5C260
• Base-36: 1RBLOODC

Squares and roots of 137838838368

• 137838838368 squared (137838838368²) is 18999545362639628903424
• 137838838368 cubed (137838838368³) is 2618875262306367754250561817772032
• The square root of 137838838368 is 371266.5327874303
• The cube root of 137838838368 is 5165.6368098519

Scales and comparisons

• 137,838,838,368 seconds is equal to 4,382 years, 44 weeks, 22 hours, 12 minutes, 48 seconds.
• To count from 1 to 137,838,838,368 would take you about eight thousand, seven hundred sixty-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 137838838368 cubic inches would be around 430.5 feet tall.

Recreational maths with 137838838368

• 137838838368 backwards is 863838838731
• 137838838368 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137838838368's digits is 66
• More coming soon!