137133376128

Names of 137133376128

• Cardinal: 137133376128 can be written as One hundred thirty-seven billion, one hundred thirty-three million, three hundred seventy-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37133376128 × 10¹¹

Factors of 137133376128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 211

Divisors of 137133376128

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 32 34 36 38 42 48 51 56 57 63 64 68 72 76 84 96 102 112 114 119 126 128 133 136 144 152 153 163 168 171 192 204 224 228 238 252 266 272 288 289 304 306 323 326 336 342 357 361 384 399 408 448 456 476 489 504 532 544 576 578 608 612 646 652 672 684 714 722 798 816 867 896 912 952 969 978 1008 1064 1071 1083 1088 1141 1152 1156 1197 1216 1224 1292 1304 1344 1368 1428 1444 1467 1596 1632 1734 1824 1904 1938 1956 2016 2023 2128 2142 2166 2176 2261 2282 2312 2394 2432 2448 2527 2584 2601 2608 2688 2736 2771 2856 2888 2907 2934 3097 3192 3249 3264 3423 3468 3648 3808 3876 3912 4032 4046 4256 4284 4332 4522 4564 4624 4788 4896 5054 5168 5202 5216 5472 5491 5542 5712 5776 5814 5868 6069 6137 6194 6384 6498 6528 6783 6846 6936 7296 7581 7616 7752 7824 8064 8092 8313 8512 8568 8664 9044 9128 9248 9291 9576 9792 10108 10269 10336 10404 10432 10944 10982 11084 11424 11552 11628 11736 12138 12274 12388 12768 12996 13566 13692 13872 15162 15232 15504 15648 16184 16473 16626 17024 17136 17328 18088 18207 18256 18411 18496 18582 19152 19397 19584 20216 20349 20538 20672 20808 20864 21679 21888 21964 22168 22743 22848 23104 23256 23472 24276 24548 24776 24939 25536 25992 27132 27384 27744 27873 30324 31008 31296 32368 32946 33252 34272 34656 36176 36414 36512 36822 36992 37164 38304 38437 38794 40432 40698 41076 41344 41616 42959 43358 43928 44336 45486 45696 46208 46512 46944 47107 48552 49096 49419 49552 49878 51072 51984 52649 54264 54768 55233 55488 55746 58191 58843 60648 62016 62592 64736 65037 65892 66504 68544 69312 72352 72828 73024 73644 74328 76608 76874 77588 80864 81396 82152 83232 85918 86716 87856 88672 90972 93024 93888 94214 97104 98192 98838 99104 99756 103968 104329 105298 108528 109536 110466 110976 111492 115311 116382 117686 121296 124032 128877 129472 130074 131784 133008 137088 138624 141321 144704 145656 146048 147288 148656 153216 153748 155176 157947 161728 162792 164304 166464 171836 173432 174573 175712 176529 177344 181944 186048 187776 188428 194208 195111 196384 197676 198208 199512 207936 208658 210596 217056 219072 220932 222984 230622 232764 235372 242592 257754 258944 260148 263568 266016 282642 289408 291312 294576 297312 307496 310352 312987 315894 323456 325584 328608 329749 332928 343672 345933 346864 349146 351424 353058 354688 363888 368543 372096 376856 386631 388416 390222 392768 395352 396416 399024 411901 415872 417316 421192 423963 434112 438144 441864 445968 461244 465528 470744 473841 485184 515508 520296 527136 529587 532032 565284 582624 589152 594624 614992 620704 625974 631788 651168 657216 659498 687344 691866 693728 698292 702848 706116 727776 730303 737086 753712 773262 776832 780444 785536 790704 798048 823802 834632 842384 847926 868224 883728 891936 895033 922488 931056 938961 941488 947682 970368 989247 1000331 1031016 1040592 1054272 1059174 1064064 1105629 1130568 1165248 1178304 1189248 1229984 1235703 1241408 1251948 1263576 1302336 1314432 1318996 1374688 1383732 1387456 1396584 1412232 1455552 1460606 1474172 1507424 1546524 1560888 1581408 1596096 1647604 1669264 1684768 1695852 1767456 1783872 1790066 1844976 1862112 1877922 1882976 1895364 1978494 2000662 2062032 2081184 2108544 2118348 2190909 2211258 2261136 2330496 2356608 2459968 2471406 2482816 2503896 2527152 2604672 2637992 2685099 2749376 2767464 2774912 2793168 2824464 2911104 2921212 2948344 2967741 3000993 3014848 3093048 3121776 3162816 3192192 3295208 3316887 3338528 3369536 3391704 3534912 3567744 3580132 3689952 3707109 3724224 3755844 3765952 3790728 3956988 4001324 4124064 4162368 4236696 4381818 4422516 4522272 4919936 4942812 5007792 5054304 5275984 5370198 5498752 5534928 5586336 5648928 5842424 5896688 5935482 6001986 6029696 6186096 6243552 6265231 6325632 6572727 6590416 6633774 6677056 6739072 6783408 7002317 7069824 7160264 7379904 7414218 7448448 7511688 7531904 7581456 7913976 8002648 8055297 8248128 8324736 8473392 8763636 8845032 9002979 9044544 9885624 10015584 10108608 10551968 10740396 11069856 11172672 11297856 11684848 11793376 11870964 12003972 12372192 12487104 12530462 13145454 13180832 13267548 13354112 13566816 14004634 14320528 14759808 14828436 15023376 15162912 15827952 16005296 16110594 16496256 16946784 17005627 17527272 17690064 18005958 18089088 18795693 19771248 20031168 20217216 21006951 21103936 21480792 22139712 22345344 22595712 23369696 23586752 23741928 24007944 24744384 24974208 25060924 26290908 26361664 26535096 27133632 28009268 28641056 29656872 30046752 30325824 31655904 32010592 32221188 33893568 34011254 35054544 35380128 36011916 37591386 39542496 40062336 42013902 42207872 42961584 44279424 46739392 47173504 47483856 48015888 49488768 50121848 51016881 52581816 52723328 53070192 54267264 56018536 56387079 57282112 59313744 60093504 60651648 63020853 63311808 64021184 64442376 67787136 68022508 70109088 70760256 72023832 75182772 79084992 84027804 85923168 93478784 94967712 96031776 100243696 102033762 105163632 106140384 112037072 112774158 114564224 118627488 119039389 120187008 126041706 126623616 128042368 128884752 136045016 140218176 141520512 144047664 150365544 153050643 158169984 168055608 171846336 189935424 192063552 200487392 204067524 210327264 212280768 224074144 225548316 237254976 238078778 252083412 257769504 272090032 280436352 288095328 300731088 306101286 336111216 343692672 357118167 379870848 384127104 400974784 408135048 420654528 424561536 448148288 451096632 474509952 476157556 504166824 515539008 544180064 576190656 601462176 612202572 672222432 714236334 801949568 816270096 841309056 896296576 902193264 952315112 1008333648 1031078016 1071354501 1088360128 1152381312 1202924352 1224405144 1344444864 1428472668 1632540192 1804386528 1904630224 2016667296 2142709002 2176720256 2405848704 2448810288 2688889728 2856945336 3265080384 3608773056 3809260448 4033334592 4285418004 4897620576 5713890672 6530160768 7217546112 7618520896 8066669184 8570836008 9795241152 11427781344 15237041792 17141672016 19590482304 22855562688 34283344032 45711125376 68566688064 137133376128
• Sum of all divisors σ(n): 508722233760
• Sum of proper divisors (its aliquot sum) s(n): 371588857632
• 137133376128 is an abundant number, because the sum of its proper divisors (371588857632) is greater than itself. Its abundance is 234455481504

Bases of 137133376128

• Binary: 1111111101101110010010100001010000000₂
• Hexadecimal: 0x1FEDC94280
• Base-36: 1QZXO680

Squares and roots of 137133376128

• 137133376128 squared (137133376128²) is 18805562848263520272384
• 137133376128 cubed (137133376128³) is 2578870323369664317174188083249152
• The square root of 137133376128 is 370315.2388546817
• The cube root of 137133376128 is 5156.8091178831

Scales and comparisons

• 137,133,376,128 seconds is equal to 4,360 years, 21 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,133,376,128 would take you about eight thousand, seven hundred twenty 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 137133376128 cubic inches would be around 429.7 feet tall.

Recreational maths with 137133376128

• 137133376128 backwards is 821673331731
• The number of decimal digits it has is: 12
• The sum of 137133376128's digits is 45
• More coming soon!