137115180972

Names of 137115180972

• Cardinal: 137115180972 can be written as One hundred thirty-seven billion, one hundred fifteen million, one hundred eighty thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.37115180972 × 10¹¹

Factors of 137115180972

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 202

Divisors of 137115180972

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 47 54 61 63 66 71 77 81 84 94 99 108 122 126 132 141 142 154 162 183 188 189 198 213 231 243 244 252 282 284 297 308 324 329 366 378 396 423 426 427 462 486 497 517 549 564 567 594 639 658 671 693 729 732 756 781 846 852 854 891 924 972 987 994 1034 1098 1134 1188 1269 1278 1281 1316 1342 1386 1458 1491 1551 1562 1647 1692 1701 1708 1782 1917 1974 1988 2013 2068 2079 2187 2196 2268 2343 2538 2556 2562 2673 2684 2772 2867 2916 2961 2982 3102 3124 3294 3337 3402 3564 3619 3807 3834 3843 3948 4026 4158 4331 4374 4473 4653 4686 4697 4941 5076 5103 5124 5346 5467 5734 5751 5922 5964 6039 6204 6237 6588 6674 6804 7029 7238 7614 7668 7686 8019 8052 8316 8601 8662 8748 8883 8946 9306 9372 9394 9882 10011 10206 10692 10857 10934 11421 11468 11502 11529 11844 12078 12474 12993 13348 13419 13959 14058 14091 14476 14823 15228 15309 15372 16038 16401 17202 17253 17324 17766 17892 18117 18612 18711 18788 19764 20022 20069 20412 21087 21714 21868 22842 23004 23058 23359 24057 24156 24948 25803 25986 26649 26838 27918 28116 28182 29646 30033 30317 30618 31537 32076 32571 32802 34263 34404 34506 34587 35532 36234 36707 37422 38979 40044 40138 40257 41877 42174 42273 43428 44469 45684 46116 46718 47641 48114 49203 51606 51759 51972 53298 53676 54351 55836 56133 56364 59292 60066 60207 60634 61236 63074 63261 65142 65604 68526 69012 69174 70077 72468 73414 74844 77409 77958 79947 80276 80514 83754 84348 84546 88938 90099 90951 93436 94611 95282 96228 97713 98406 102789 103212 103518 103761 106596 108702 110121 112266 116937 120132 120414 120771 121268 125631 126148 126522 126819 130284 133407 137052 138348 140154 142923 146828 147609 154818 155277 155916 159894 161028 163053 167508 168399 169092 177876 180198 180621 181902 189222 189783 190564 195426 196812 203557 205578 207036 207522 210231 217404 220242 220759 224532 232227 233874 239841 240828 241542 251262 253044 253638 256949 266814 270297 272853 280308 283833 285846 293139 295218 309636 310554 311283 319788 326106 330363 333487 336798 350811 360396 361242 362313 363804 376893 378444 379566 380457 390852 407114 411156 415044 420462 428769 440484 441518 442827 464454 467748 479682 483084 489159 502524 507276 513898 533628 540594 541863 545706 567666 569349 571692 586278 590436 610671 621108 622566 630693 652212 660726 662277 666974 673596 696681 701622 719523 722484 724626 753786 759132 760914 770847 810891 814228 818559 840924 851499 857538 879417 883036 885654 928908 933849 959364 978318 991089 1000461 1027796 1052433 1081188 1083726 1086939 1091412 1130679 1135332 1138698 1141371 1172556 1221342 1245132 1261386 1286307 1321452 1324554 1328481 1333948 1393362 1403244 1424899 1439046 1449252 1467477 1507572 1521828 1541694 1621782 1625589 1637118 1702998 1708047 1715076 1758834 1771308 1832013 1867698 1892079 1956636 1982178 1986831 2000922 2090043 2104866 2167452 2173878 2239127 2261358 2277396 2282742 2312541 2432673 2442684 2455677 2522772 2554497 2572614 2638251 2649108 2656962 2786724 2849798 2878092 2934954 2973267 3001383 3083388 3157299 3243564 3251178 3274236 3405996 3416094 3424113 3517668 3664026 3735396 3784158 3858921 3964356 3973662 3985443 4001844 4180086 4209732 4274697 4347756 4478254 4522716 4565484 4625082 4865346 4876767 4911354 5108994 5145228 5276502 5313924 5496039 5676237 5699596 5869908 5946534 5960493 6002766 6270129 6314598 6502356 6717381 6832188 6848226 6937623 7298019 7328052 7367031 7568316 7663491 7717842 7914753 7947324 7970886 8360172 8549394 8919801 8956508 9004149 9250164 9471897 9730692 9753534 9822708 10217988 10272339 10553004 10992078 11352474 11576763 11893068 11920986 11956329 12005532 12540258 12629196 12824091 13434762 13696452 13875246 14596038 14630301 14734062 15326982 15435684 15673889 15829506 15941772 16488117 17028711 17098788 17839602 17881479 18008298 18943794 19507068 20152143 20544678 20812869 21984156 22101093 22704948 22990473 23153526 23841972 23912658 25080516 25648182 26759403 26869524 27012447 27750492 29192076 29260602 29468124 30653964 31347778 31659012 32976234 34057422 34730289 35679204 35762958 36016596 37887588 38472273 40304286 41089356 41625738 43890903 44202186 45980946 46307052 47021667 47825316 49464351 51086133 51296364 53518806 53644437 54024894 58521204 60456429 62438607 62695556 65952468 66303279 68114844 68971419 69460578 71525916 76944546 80278209 80608572 81037341 83251476 87781806 88404372 91961892 94043334 98928702 102172266 104190867 107037612 107288874 108049788 115416819 120912858 124877214 132606558 137942838 138921156 141065001 148393053 153889092 160556418 160933311 162074682 175563612 181369287 187315821 188086668 197857404 204344532 208381734 214577748 230833638 241825716 243112023 249754428 265213116 275885676 282130002 296786106 321112836 321866622 324149364 346250457 362738574 374631642 416763468 423195003 445179159 461667276 482799933 486224046 544107861 561947463 564260004 593572212 643733244 692500914 725477148 729336069 749263284 846390006 890358318 965599866 972448092 1038751371 1088215722 1123894926 1269585009 1385001828 1458672138 1632323583 1692780012 1780716636 1931199732 2077502742 2176431444 2247789852 2539170018 2917344276 3116254113 3264647166 3808755027 4155005484 4896970749 5078340036 6232508226 6529294332 7617510054 9793941498 11426265081 12465016452 15235020108 19587882996 22852530162 34278795243 45705060324 68557590486 137115180972
• Sum of all divisors σ(n): 472289771520
• Sum of proper divisors (its aliquot sum) s(n): 335174590548
• 137115180972 is an abundant number, because the sum of its proper divisors (335174590548) is greater than itself. Its abundance is 198059409576

Bases of 137115180972

• Binary: 1111111101100101100111001111110101100₂
• Hexadecimal: 0x1FECB39FAC
• Base-36: 1QZMU6R0

Squares and roots of 137115180972

• 137115180972 squared (137115180972²) is 18800572852984310864784
• 137115180972 cubed (137115180972³) is 2577843949114214134501563981690048
• The square root of 137115180972 is 370290.6709221823
• The cube root of 137115180972 is 5156.5810355613

Scales and comparisons

• 137,115,180,972 seconds is equal to 4,359 years, 43 weeks, 4 days, 6 hours, 16 minutes, 12 seconds.
• To count from 1 to 137,115,180,972 would take you about eight thousand, seven hundred nineteen 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 137115180972 cubic inches would be around 429.7 feet tall.

Recreational maths with 137115180972

• 137115180972 backwards is 279081511731
• The number of decimal digits it has is: 12
• The sum of 137115180972's digits is 45
• More coming soon!