135040164224

Names of 135040164224

• Cardinal: 135040164224 can be written as One hundred thirty-five billion, forty million, one hundred sixty-four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.35040164224 × 10¹¹

Factors of 135040164224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 270

Divisors of 135040164224

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 7 8 14 16 17 23 28 32 34 46 56 61 64 68 71 89 92 112 119 122 128 136 142 161 178 184 224 238 244 272 284 322 356 368 391 427 448 476 488 497 544 568 623 644 712 736 782 854 896 952 976 994 1037 1088 1136 1207 1246 1288 1403 1424 1472 1513 1564 1633 1708 1904 1952 1988 2047 2074 2176 2272 2414 2492 2576 2737 2806 2848 2944 3026 3128 3266 3416 3808 3904 3976 4094 4148 4331 4544 4828 4984 5152 5429 5474 5612 5696 6052 6256 6319 6532 6832 7259 7616 7808 7952 8188 8296 8449 8662 9088 9656 9821 9968 10304 10591 10858 10948 11224 11392 11431 12104 12512 12638 13064 13664 14329 14518 15232 15904 16376 16592 16898 17324 19312 19642 19936 20608 21182 21716 21896 22448 22862 23851 24208 25024 25276 26128 27328 27761 28658 29036 30317 31808 32752 33184 33796 34648 34799 38003 38624 39284 39872 42364 43432 43792 44233 44896 45724 47702 48416 50048 50552 52256 54656 55522 57316 58072 60634 63616 65504 66368 67592 69296 69598 73627 76006 77248 78568 79744 84728 86864 87584 88466 89792 91448 92293 95404 96832 99613 101104 104512 107423 111044 114632 116144 121268 124867 131008 132736 135184 138592 139196 145337 147254 152012 154496 157136 166957 169456 173728 175168 176932 179584 182896 184586 190808 193664 194327 199226 202208 209024 214846 222088 229264 232288 242536 243593 249734 262016 270368 277184 278392 290674 294508 304024 314272 333914 338912 347456 350336 353864 365792 369172 381616 385459 388654 398452 404416 429692 444176 458528 464576 485072 487186 499468 515389 540736 554368 556784 581348 589016 608048 628544 646051 667828 677824 694912 697291 707728 731584 738344 751961 763232 770918 777308 796904 808832 859384 874069 888352 917056 929152 970144 974372 998936 1017359 1030778 1081472 1113568 1162696 1178032 1216096 1257088 1292102 1335656 1355648 1394582 1415456 1463168 1476688 1503922 1526464 1541836 1554616 1593808 1693421 1718768 1748138 1776704 1834112 1940288 1948744 1997872 2034718 2061556 2122739 2227136 2325392 2356064 2432192 2470729 2584204 2671312 2698213 2789164 2830912 2953376 3007844 3052928 3083672 3109232 3187616 3386842 3437536 3496276 3553408 3880576 3897488 3995744 4069436 4123112 4245478 4454272 4650784 4712128 4864384 4941458 5168408 5342624 5396426 5578328 5661824 5906752 6015688 6167344 6218464 6375232 6552803 6773684 6875072 6992552 7794976 7991488 8138872 8246224 8490956 8865557 9301568 9424256 9882916 10336816 10685248 10792852 11156656 11813504 11853947 12031376 12334688 12436928 12750464 13105606 13547368 13750144 13985104 14859173 15589952 15982976 16277744 16492448 16981912 17295103 17731114 18603136 19765832 20673632 21370496 21585704 22313312 23707894 24062752 24669376 24873856 26211212 27094736 27970208 29718346 31179904 32555488 32984896 33963824 34590206 35462228 39531664 41347264 43171408 44626624 45869621 47415788 48125504 49338752 52422424 54189472 55940416 59436692 62058899 65110976 65969792 67927648 69180412 70924456 79063328 82694528 86342816 89253248 91739242 94831576 96251008 104844848 108378944 111880832 118873384 124117798 130221952 135855296 138360824 141848912 150714469 158126656 172685632 183478484 189663152 209689696 216757888 237746768 248235596 271710592 276721648 283697824 301428938 316253312 345371264 366956968 379326304 419379392 475493536 496471192 553443296 567395648 602857876 733913936 758652608 838758784 950987072 992942384 1055001283 1106886592 1134791296 1205715752 1467827872 1517305216 1901974144 1985884768 2110002566 2213773184 2411431504 2935655744 3971769536 4220005132 4822863008 5871311488 7943539072 8440010264 9645726016 16880020528 19291452032 33760041056 67520082112 135040164224
• Sum of all divisors σ(n): 354063052800
• Sum of proper divisors (its aliquot sum) s(n): 219022888576
• 135040164224 is an abundant number, because the sum of its proper divisors (219022888576) is greater than itself. Its abundance is 83982724352

Bases of 135040164224

• Binary: 1111101110001000001010110000110000000₂
• Hexadecimal: 0x1F71056180
• Base-36: 1Q1BFDKW

Squares and roots of 135040164224

• 135040164224 squared (135040164224²) is 18235845953644889522176
• 135040164224 cubed (135040164224³) is 2462571632343771772452983929831424
• The square root of 135040164224 is 367478.1139387759
• The cube root of 135040164224 is 5130.4365292675

Scales and comparisons

• 135,040,164,224 seconds is equal to 4,293 years, 44 weeks, 4 days, 20 hours, 43 minutes, 44 seconds.
• To count from 1 to 135,040,164,224 would take you about eight thousand, five hundred eighty-seven 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 135040164224 cubic inches would be around 427.5 feet tall.

Recreational maths with 135040164224

• 135040164224 backwards is 422461040531
• 135040164224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135040164224's digits is 32
• More coming soon!