135016031040

Names of 135016031040

• Cardinal: 135016031040 can be written as One hundred thirty-five billion, sixteen million, thirty-one thousand and forty.

Scientific notation

• Scientific notation: 1.3501603104 × 10¹¹

Factors of 135016031040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 317

Divisors of 135016031040

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 37 40 44 48 55 60 62 64 66 71 74 80 88 93 96 110 111 120 124 132 142 148 155 157 160 165 176 185 186 192 213 220 222 240 248 264 284 296 310 314 320 330 341 352 355 370 372 407 426 440 444 465 471 480 496 528 555 568 592 620 628 660 682 704 710 740 744 781 785 814 852 880 888 930 942 960 992 1023 1056 1065 1110 1136 1147 1184 1221 1240 1256 1320 1364 1420 1480 1488 1562 1570 1628 1704 1705 1727 1760 1776 1860 1884 1984 2035 2046 2112 2130 2201 2220 2272 2294 2343 2355 2368 2442 2480 2512 2627 2640 2728 2840 2960 2976 3124 3140 3256 3408 3410 3441 3454 3520 3552 3720 3768 3905 4070 4092 4260 4402 4440 4544 4588 4686 4710 4867 4884 4960 5024 5115 5181 5254 5280 5456 5680 5735 5809 5920 5952 6105 6248 6280 6512 6603 6816 6820 6882 6908 7104 7440 7536 7810 7881 8140 8184 8520 8635 8804 8880 9176 9372 9420 9734 9768 9920 10048 10230 10362 10508 10560 10912 11005 11147 11360 11470 11618 11715 11840 12210 12496 12560 12617 13024 13135 13206 13632 13640 13764 13816 14601 14880 15072 15620 15762 16280 16368 17040 17205 17270 17427 17608 17760 18352 18744 18840 19468 19536 20460 20724 21016 21824 22010 22294 22720 22940 23236 23430 24211 24335 24420 24992 25120 25234 25905 26048 26270 26412 27280 27528 27632 28897 29045 29202 29760 30144 31240 31524 32560 32736 33015 33441 34080 34410 34540 34854 35216 35520 36704 37488 37680 37851 38936 39072 39405 40920 41448 42032 44020 44588 45880 46472 46860 48422 48670 48840 49984 50240 50468 51810 52540 52824 53537 54560 55056 55264 55735 57794 58090 58404 62480 63048 63085 63899 65120 65472 66030 66882 68160 68820 69080 69708 70432 72633 73005 73408 74976 75360 75702 77872 78144 78810 81437 81840 82896 84064 86691 87135 88040 89176 91760 92944 93720 96844 97340 97680 100936 103620 105080 105648 107074 109120 110112 110528 111470 115588 116180 116808 121055 122617 124960 126096 126170 127798 130240 132060 133764 137640 138160 139416 140864 144485 145266 146010 149952 150720 151404 155744 157620 160611 162874 163680 165792 167205 168128 173382 174270 176080 178352 180079 183520 185888 187440 189255 191697 193688 194680 195360 201872 207240 210160 211296 214148 220224 222940 231176 232360 233616 242110 244311 245234 249920 252192 252340 255596 264120 267528 267685 275280 276320 278832 288970 290532 292020 302808 311488 315240 319495 321222 325748 327360 331584 334410 345557 346764 348540 352160 356704 360158 363165 367040 367851 371776 374880 378510 383394 387376 389360 390720 403744 407185 412439 414480 420320 422592 428296 433455 445880 462352 464720 467232 484220 488622 490468 504384 504680 511192 528240 535056 535370 540237 550560 552640 557664 577940 581064 584040 605616 613085 630480 638990 642444 651496 668820 691114 693528 697080 704320 713408 720316 726330 735702 749760 757020 766788 774752 778720 803055 807488 814370 824878 828960 840640 856592 866910 891760 895807 900395 924704 929440 934464 958485 968440 977244 980936 1009360 1022384 1036671 1056480 1070112 1070740 1080474 1101120 1115328 1155880 1162128 1168080 1211232 1221555 1226170 1237317 1260960 1277980 1284888 1302992 1337640 1382228 1387056 1394160 1440632 1452660 1471404 1514040 1533576 1549504 1557440 1606110 1628740 1649756 1657920 1713184 1727785 1733820 1783520 1791614 1800790 1839255 1849408 1858880 1916970 1936880 1954488 1961872 1980869 2018720 2044768 2062195 2073342 2112960 2140224 2141480 2160948 2311760 2324256 2336160 2422464 2443110 2452340 2474634 2521920 2555960 2569776 2605984 2675280 2687421 2701185 2764456 2774112 2788320 2881264 2905320 2942808 3028080 3067152 3212220 3257480 3299512 3426368 3455570 3467640 3567040 3583228 3601580 3678510 3801127 3833940 3873760 3908976 3923744 3961738 4037440 4089536 4124390 4146684 4282960 4321896 4479035 4536829 4623520 4648512 4672320 4886220 4904680 4949268 5111920 5139552 5183355 5211968 5350560 5374842 5402370 5528912 5548224 5576640 5762528 5810640 5885616 5942607 6056160 6134304 6186585 6424440 6514960 6599024 6911140 6935280 7166456 7203160 7357020 7602254 7667880 7747520 7817952 7847488 7923476 8248780 8293368 8565920 8643792 8958070 9073658 9247040 9772440 9809360 9898536 9904345 10223840 10279104 10366710 10701120 10749684 10804740 11057824 11403381 11525056 11621280 11771232 11885214 12112320 12268608 12373170 12785609 12848880 13029920 13198048 13437105 13610487 13822280 13870560 14332912 14406320 14714040 15204508 15335760 15635904 15846952 16497560 16586736 17131840 17287584 17916140 18147316 19005635 19544880 19618720 19797072 19808690 20447680 20733420 21499368 21609480 22115648 22684145 22806762 23242560 23542464 23770428 24746340 25571218 25697760 26059840 26396096 26874210 27220974 27644560 27741120 28665824 28812640 29428080 29713035 30409016 30671520 31693904 32995120 33173472 34575168 35832280 36294632 38011270 38356827 39089760 39237440 39594144 39617380 41466840 42998736 43218960 45368290 45613524 47540856 49492680 51142436 51395520 53748420 54441948 55289120 57016905 57331648 57625280 58856160 59426070 60818032 61343040 63387808 63928045 65990240 66346944 68052435 71664560 72589264 76022540 76713654 78179520 79188288 79234760 82933680 85997472 86437920 90736580 91227048 95081712 98985360 102284872 107496840 108883896 110578240 114033810 117712320 118852140 121636064 126775616 127856090 131980480 136104870 140641699 143329120 145178528 152045080 153427308 158469520 165867360 171994944 172875840 181473160 182454096 190163424 191784135 197970720 204569744 214993680 217767792 228067620 237704280 243272128 255712180 272209740 281283398 286658240 290357056 304090160 306854616 316939040 331734720 362946320 364908192 380326848 383568270 395941440 409139488 421925097 429987360 435535584 456135240 475408560 511424360 544419480 562566796 608180320 613709232 633878080 703208495 725892640 729816384 767136540 818278976 843850194 859974720 871071168 912270480 950817120 1022848720 1088838960 1125133592 1216360640 1227418464 1406416990 1451785280 1534273080 1687700388 1824540960 1901634240 2045697440 2109625485 2177677920 2250267184 2454836928 2812833980 3068546160 3375400776 3649081920 4091394880 4219250970 4355355840 4500534368 5625667960 6137092320 6750801552 8438501940 9001068736 11251335920 12274184640 13501603104 16877003880 22502671840 27003206208 33754007760 45005343680 67508015520 135016031040
• Sum of all divisors σ(n): 505963708416
• Sum of proper divisors (its aliquot sum) s(n): 370947677376
• 135016031040 is an abundant number, because the sum of its proper divisors (370947677376) is greater than itself. Its abundance is 235931646336

Bases of 135016031040

• Binary: 1111101101111100101010010001101000000₂
• Hexadecimal: 0x1F6F952340
• Base-36: 1Q0X24AO

Squares and roots of 135016031040

• 135016031040 squared (135016031040²) is 18229328637794243481600
• 135016031040 cubed (135016031040³) is 2461251601198788495045023268864000
• The square root of 135016031040 is 367445.2762521243
• The cube root of 135016031040 is 5130.1308889767

Scales and comparisons

• 135,016,031,040 seconds is equal to 4,293 years, 4 weeks, 5 days, 13 hours, 4 minutes.
• To count from 1 to 135,016,031,040 would take you about eight thousand, five hundred eighty-six 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 135016031040 cubic inches would be around 427.5 feet tall.

Recreational maths with 135016031040

• 135016031040 backwards is 040130610531
• 135016031040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135016031040's digits is 24
• More coming soon!