137044514304

Names of 137044514304

• Cardinal: 137044514304 can be written as One hundred thirty-seven billion, forty-four million, five hundred fourteen thousand, three hundred four.

Scientific notation

• Scientific notation: 1.37044514304 × 10¹¹

Factors of 137044514304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 183

Divisors of 137044514304

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 37 43 48 54 62 64 67 72 74 81 86 93 96 108 111 124 128 129 134 144 148 162 172 186 192 201 216 222 248 256 258 268 279 288 296 324 333 344 372 384 387 402 432 444 496 512 516 536 558 576 592 603 648 666 688 744 768 774 804 837 864 888 992 999 1032 1072 1116 1147 1152 1161 1184 1206 1296 1332 1333 1376 1488 1536 1548 1591 1608 1674 1728 1776 1809 1984 1998 2064 2077 2144 2232 2294 2304 2322 2368 2412 2479 2511 2592 2664 2666 2752 2881 2976 2997 3096 3182 3216 3348 3441 3456 3483 3552 3618 3968 3996 3999 4128 4154 4288 4464 4588 4608 4644 4736 4773 4824 4958 5022 5184 5328 5332 5427 5504 5762 5952 5994 6192 6231 6364 6432 6696 6882 6912 6966 7104 7236 7437 7936 7992 7998 8256 8308 8576 8643 8928 9176 9288 9472 9546 9648 9916 10044 10323 10368 10656 10664 10854 11008 11524 11904 11988 11997 12384 12462 12728 12864 13392 13764 13824 13932 14208 14319 14472 14874 15872 15984 15996 16512 16616 17152 17286 17856 18352 18576 18693 18944 19092 19296 19832 20088 20646 20736 21312 21328 21708 22016 22311 23048 23808 23976 23994 24768 24924 25456 25728 25929 26784 27528 27864 28416 28638 28944 29748 30969 31968 31992 33024 33232 34304 34572 35712 35991 36704 37152 37386 38184 38592 39664 40176 41292 41472 42624 42656 42957 43416 44622 46096 47616 47952 47988 49321 49536 49848 50912 51456 51858 53568 55056 55728 56079 56832 57276 57888 59496 61938 63936 63984 66048 66464 66933 69144 71424 71982 73408 74304 74772 76368 76849 77184 77787 79328 80352 82584 85248 85312 85914 86832 89244 89311 92192 92907 95904 95976 98642 99072 99696 101824 102912 103716 106597 107136 107973 110112 111456 112158 114552 115776 118992 123876 127872 127968 128871 132928 133866 138288 142848 143964 146816 147963 148608 149544 152736 153698 154368 155574 158656 160704 165168 168237 170496 170624 171828 173664 178488 178622 184384 185814 191808 191952 197284 198144 199392 200799 203648 207432 213194 214272 215946 220224 222912 224316 229104 230547 231552 233361 237984 247752 255744 255936 257742 265856 267732 267933 276576 287928 293632 295926 297216 299088 305472 307396 308736 311148 317312 319791 321408 330336 336474 341248 343656 347328 356976 357244 368768 371628 383616 383904 394568 398784 401598 407296 414864 426388 428544 431892 440448 443889 445824 448632 458208 461094 463104 466722 475968 495504 511488 511872 515484 531712 535464 535866 553152 575856 587264 591852 594432 598176 610944 614792 622296 634624 639582 642816 660672 672948 682496 687312 691641 694656 713952 714488 737536 743256 767232 767808 789136 797568 803196 803799 814592 829728 852776 863784 880896 887778 891648 897264 916416 922188 926208 933444 951936 959373 991008 1023744 1030968 1063424 1070928 1071732 1106304 1151712 1183704 1196352 1221888 1229584 1244592 1269248 1279164 1285632 1321344 1331667 1345896 1374624 1383282 1389312 1427904 1428976 1475072 1486512 1534464 1535616 1578272 1595136 1606392 1607598 1659456 1705552 1727568 1761792 1775556 1783296 1794528 1832832 1844376 1866888 1903872 1918746 1982016 2047488 2061936 2074923 2141856 2143464 2212608 2303424 2367408 2392704 2411397 2443776 2459168 2489184 2558328 2642688 2663334 2691792 2749248 2766564 2778624 2855808 2857952 2878119 2973024 3071232 3156544 3190272 3212784 3215196 3304507 3318912 3411104 3455136 3551112 3589056 3665664 3688752 3733776 3807744 3837492 3964032 3995001 4123872 4149846 4283712 4286928 4425216 4606848 4734816 4785408 4822794 4918336 4978368 5116656 5285376 5326668 5383584 5498496 5533128 5711616 5715904 5756238 5946048 6142464 6224769 6313088 6425568 6430392 6609014 6637824 6822208 6910272 7102224 7178112 7234191 7331328 7377504 7467552 7674984 7928064 7990002 8247744 8299692 8567424 8573856 8634357 9213696 9469632 9570816 9645588 9836672 9913521 9956736 10233312 10653336 10767168 10996992 11066256 11423232 11431808 11512476 11892096 12449538 12626176 12851136 12860784 13218028 13275648 13644416 13820544 14204448 14356224 14468382 14755008 14935104 15349968 15856128 15980004 16495488 16599384 17134848 17147712 17268714 18427392 18939264 19291176 19673344 19827042 19913472 20466624 21306672 21534336 21993984 22132512 22863616 23024952 23784192 24899076 25252352 25702272 25721568 26436056 27288832 27641088 28408896 28712448 28936764 29510016 29740563 29870208 30699936 31960008 32990976 33198768 34269696 34295424 34537428 37878528 38582352 39346688 39654084 39826944 40933248 42613344 43068672 44265024 45727232 46049904 47568384 49798152 51404544 51443136 52872112 54577664 55282176 56817792 57873528 59020032 59481126 59740416 61399872 63920016 65981952 66397536 68590848 69074856 75757056 77164704 79308168 81866496 85226688 86137344 88530048 89221689 92099808 99596304 102809088 102886272 105744224 113635584 115747056 118040064 118962252 119480832 122799744 127840032 132795072 137181696 138149712 154329408 158616336 163732992 170453376 177060096 178443378 184199616 199192608 205772544 211488448 227271168 231494112 237924504 245599488 255680064 265590144 267665067 276299424 308658816 317232672 340906752 354120192 356886756 368399232 398385216 411545088 422976896 462988224 475849008 491198976 511360128 531180288 535330134 552598848 617317632 634465344 681813504 713773512 736798464 796770432 845953792 925976448 951698016 1022720256 1062360576 1070660268 1105197696 1234635264 1268930688 1427547024 1473596928 1593540864 1691907584 1851952896 1903396032 2045440512 2141320536 2210395392 2537861376 2855094048 3187081728 3703905792 3806792064 4282641072 4420790784 5075722752 5710188096 7613584128 8565282144 11420376192 15227168256 17130564288 22840752384 34261128576 45681504768 68522257152 137044514304
• Sum of all divisors σ(n): 450356222976
• Sum of proper divisors (its aliquot sum) s(n): 313311708672
• 137044514304 is an abundant number, because the sum of its proper divisors (313311708672) is greater than itself. Its abundance is 176267194368

Bases of 137044514304

• Binary: 1111111101000011111010101011000000000₂
• Hexadecimal: 0x1FE87D5600
• Base-36: 1QYGRK00

Squares and roots of 137044514304

• 137044514304 squared (137044514304²) is 18781198900819260604416
• 137044514304 cubed (137044514304³) is 2573860281409594237220592197566464
• The square root of 137044514304 is 370195.2380893087
• The cube root of 137044514304 is 5155.6950140017

Scales and comparisons

• 137,044,514,304 seconds is equal to 4,357 years, 30 weeks, 5 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,044,514,304 would take you about eight thousand, seven hundred fifteen 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 137044514304 cubic inches would be around 429.6 feet tall.

Recreational maths with 137044514304

• 137044514304 backwards is 403415440731
• 137044514304 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137044514304's digits is 36
• More coming soon!