135677131920

Names of 135677131920

• Cardinal: 135677131920 can be written as One hundred thirty-five billion, six hundred seventy-seven million, one hundred thirty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3567713192 × 10¹¹

Factors of 135677131920

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 211

Divisors of 135677131920

• Number of divisors d(n): 1600
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 27 30 33 34 36 38 40 44 45 48 51 54 55 57 60 66 68 71 72 76 80 81 83 85 88 90 95 99 102 108 110 114 120 132 135 136 142 144 152 153 162 165 166 170 171 176 180 187 190 198 204 209 213 216 220 228 240 249 255 264 270 272 284 285 297 304 306 323 324 330 332 340 342 355 360 374 380 396 405 408 415 418 426 432 440 456 459 495 498 510 513 528 540 561 568 570 594 612 627 639 646 648 660 664 680 684 710 720 747 748 760 765 781 792 810 816 830 836 852 855 880 891 912 913 918 935 969 990 996 1020 1026 1045 1065 1080 1122 1136 1140 1188 1207 1224 1245 1254 1278 1292 1296 1320 1328 1349 1360 1368 1377 1411 1420 1485 1494 1496 1520 1530 1539 1562 1577 1584 1615 1620 1660 1672 1683 1704 1710 1782 1826 1836 1870 1881 1917 1938 1980 1992 2040 2052 2090 2130 2160 2241 2244 2280 2295 2343 2376 2414 2448 2490 2508 2556 2565 2584 2640 2698 2736 2739 2754 2805 2822 2840 2907 2970 2988 2992 3060 3078 3124 3135 3154 3195 3230 3240 3320 3344 3366 3408 3420 3553 3564 3621 3652 3672 3735 3740 3762 3834 3876 3905 3960 3984 4047 4080 4104 4180 4233 4260 4455 4482 4488 4560 4565 4590 4686 4731 4752 4828 4845 4980 5016 5049 5112 5130 5168 5396 5478 5508 5610 5643 5644 5680 5751 5814 5893 5940 5976 6035 6120 6156 6248 6270 6308 6390 6460 6480 6640 6723 6732 6745 6840 6885 7029 7055 7106 7128 7242 7304 7344 7470 7480 7524 7668 7695 7752 7810 7885 7920 8094 8208 8217 8360 8415 8466 8520 8721 8910 8964 8976 9130 9180 9372 9405 9462 9585 9656 9690 9960 10032 10098 10224 10260 10659 10792 10863 10956 11016 11205 11220 11286 11288 11502 11628 11715 11786 11880 11952 12070 12141 12240 12312 12496 12540 12616 12699 12780 12920 13277 13446 13464 13490 13680 13695 13770 14058 14110 14193 14212 14256 14484 14535 14608 14839 14940 14960 15048 15147 15336 15390 15504 15521 15620 15770 16188 16434 16720 16830 16929 16932 17040 17347 17442 17679 17765 17820 17928 18105 18260 18360 18744 18810 18924 19170 19312 19380 19920 20196 20235 20520 21087 21165 21318 21584 21726 21912 22032 22410 22440 22572 22576 22933 23004 23256 23430 23572 23655 23760 24140 24282 24624 24651 25080 25232 25245 25398 25560 25840 26163 26554 26809 26892 26928 26980 27390 27540 28116 28215 28220 28386 28424 28755 28968 29070 29465 29678 29880 30096 30294 30672 30780 31042 31240 31540 31977 32376 32589 32868 33615 33660 33858 33864 34694 34884 35145 35358 35530 35640 35856 36210 36423 36520 36720 37488 37620 37848 38097 38340 38760 39831 40392 40470 41040 41085 42174 42330 42579 42636 43452 43605 43824 44517 44820 44880 45144 45866 46008 46512 46563 46860 47144 47310 48280 48564 49302 50160 50490 50796 51120 52041 52326 53037 53108 53295 53618 53784 53960 54315 54780 55080 56232 56430 56440 56772 56848 57510 57936 58140 58930 59356 59760 60588 60705 61560 62084 62480 63080 63261 63495 63954 64752 64823 65178 65736 66385 67230 67320 67716 67728 68799 69388 69768 70290 70716 70965 71060 71280 72420 72846 73040 73953 74195 75240 75696 75735 76194 76680 77520 77605 79662 80427 80784 80940 82170 84348 84645 84660 85158 85272 86735 86904 87210 88395 89034 89640 90288 91732 92016 93126 93720 94288 94620 95931 96560 97128 97767 98604 100181 100980 101592 104082 104652 105435 106074 106216 106590 107236 107568 107920 108630 109269 109560 110160 111967 112464 112860 112880 113544 114291 114665 115020 116280 117860 118712 119493 121176 121410 123120 123255 124168 126160 126522 126990 127737 127908 129646 130356 130815 131472 132770 133551 134045 134460 134640 135432 137598 138776 139536 139689 140580 141432 141930 142120 144840 145692 147906 148390 150480 151470 152388 153360 155210 156123 159111 159324 159885 160854 161880 162945 164340 168696 169290 169320 170316 170544 173470 173808 174420 176790 178068 179280 182115 183464 186252 187440 189240 190485 191862 194256 194469 195534 197208 199155 200362 201960 203184 206397 208164 209304 210870 212148 212432 212895 213180 214472 217260 218538 219120 222585 223934 225720 227088 228582 229330 230040 232560 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4667256 4683690 4718384 4773330 4779720 4807836 4808688 4825620 4926548 4953528 5028804 5038515 5045260 5060880 5109480 5185840 5250663 5308182 5342040 5374416 5377185 5409774 5503920 5509955 5587560 5620428 5710317 5735664 5755860 5790744 5834070 5897980 5916240 6009795 6010860 6046218 6054312 6158185 6191910 6244920 6286005 6364440 6410448 6434160 6611946 6705072 6718020 6811101 7000884 7025535 7077576 7169580 7213032 7238430 7389822 7430292 7493904 7567890 7613756 7637328 7674480 7778760 7821360 7962273 8013060 8014480 8061624 8114661 8255880 8381340 8603496 8686116 8741520 8751105 8815928 8846970 8957360 9016290 9069327 9081468 9143280 9287865 9334512 9367380 9517195 9546660 9559440 9615672 9651240 9853096 9907056 9917919 10057608 10077030 10090520 10218960 10501326 10616364 10684080 10754370 10819548 10857645 11019910 11084733 11175120 11240856 11351835 11420634 11511720 11581488 11668140 11795960 12019590 12021720 12092436 12108624 12316370 12383820 12489840 12572010 12728880 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43017480 43278192 43430580 44079640 44338932 45346635 45407340 45682536 46672560 47773638 48078360 48369744 49265480 49535280 49589595 50288040 51392853 52506630 52895568 53081820 54097740 54488808 55423665 56204280 57103170 57907440 59118576 59507514 60462180 60543120 62813487 63698184 64917288 66119460 66508398 68111010 68523804 70008840 70775760 72130320 72554616 73898220 74302920 76137560 79343352 79622730 80616240 81146610 81733212 83751316 84010608 85654755 86034960 86861160 88159280 88677864 89261271 90693270 90814680 91365072 95547276 96156720 98530960 99179190 99762597 100576080 102166515 102785706 104689145 105013260 106163640 108195480 108977616 110847330 112408560 114206340 119015028 119434095 120924360 125626974 127396368 129834576 132238920 133016796 136222020 137047608 140017680 145109232 147796440 148605840 148768785 152275120 154178559 158686704 159245460 162293220 163466424 166270995 167502632 171309510 173722320 177355728 178522542 181386540 181629360 188440461 191094552 198358380 199525194 204333030 205571412 209378290 210026520 212327280 216390960 221694660 228412680 238030056 238868190 241848720 251253948 256964265 264477840 266033592 272444040 274095216 295592880 297537570 308357118 314067435 318490920 324586440 326932848 332541990 335005264 342619020 357045084 362773080 376880922 382189104 396716760 399050388 408666060 411142824 418756580 420053040 443389320 446306355 456825360 476060112 477736380 498812985 502507896 513928530 532067184 544888080 565321383 595075140 616714236 628134870 636981840 649172880 665083980 685238040 714090168 725546160 753761844 770892795 793433520 798100776 817332120 822285648 837513160 886778640 892612710 942202305 955472760 997625970 1005015792 1027857060 1130642766 1190150280 1233428472 1256269740 1330167960 1370476080 1428180336 1507523688 1541785590 1596201552 1634664240 1675026320 1695964149 1785225420 1884404610 1910945520 1995251940 2055714120 2261285532 2380300560 2466856944 2512539480 2660335920 2826606915 3015047376 3083571180 3391928298 3570450840 3768809220 3990503880 4111428240 4522571064 5025078960 5653213830 6167142360 6783856596 7140901680 7537618440 7981007760 8479820745 9045142128 11306427660 12334284720 13567713192 15075236880 16959641490 22612855320 27135426384 33919282980 45225710640 67838565960 135677131920
• Sum of all divisors σ(n): 588022364160
• Sum of proper divisors (its aliquot sum) s(n): 452345232240
• 135677131920 is an abundant number, because the sum of its proper divisors (452345232240) is greater than itself. Its abundance is 316668100320

Bases of 135677131920

• Binary: 1111110010110111111001011110010010000₂
• Hexadecimal: 0x1F96FCBC90
• Base-36: 1QBUNT00

Squares and roots of 135677131920

• 135677131920 squared (135677131920²) is 18408284126037082886400
• 135677131920 cubed (135677131920³) is 2497583193789175201590067173888000
• The square root of 135677131920 is 368343.7686726897
• The cube root of 135677131920 is 5138.4904235747

Scales and comparisons

• 135,677,131,920 seconds is equal to 4,314 years, 5 weeks, 6 days, 4 hours, 12 minutes.
• To count from 1 to 135,677,131,920 would take you about eight thousand, six hundred twenty-eight 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 135677131920 cubic inches would be around 428.2 feet tall.

Recreational maths with 135677131920

• 135677131920 backwards is 029131776531
• 135677131920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135677131920's digits is 45
• More coming soon!