138236668416

Names of 138236668416

• Cardinal: 138236668416 can be written as One hundred thirty-eight billion, two hundred thirty-six million, six hundred sixty-eight thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38236668416 × 10¹¹

Factors of 138236668416

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 689

Divisors of 138236668416

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 73 77 81 84 88 96 99 108 112 126 128 132 144 146 154 162 168 176 189 192 198 216 219 224 231 252 256 264 288 292 297 308 324 336 352 378 384 396 432 438 448 462 504 511 512 528 567 576 584 593 594 616 648 657 672 693 704 756 768 792 803 864 876 891 896 924 1008 1022 1056 1134 1152 1168 1186 1188 1232 1296 1314 1344 1386 1408 1512 1533 1536 1584 1606 1728 1752 1779 1782 1792 1848 1971 2016 2044 2079 2112 2268 2304 2336 2372 2376 2409 2464 2592 2628 2688 2772 2816 3024 3066 3168 3212 3456 3504 3558 3564 3584 3696 3942 4032 4088 4151 4158 4224 4536 4599 4608 4672 4744 4752 4818 4928 5184 5256 5337 5376 5544 5621 5632 5913 6048 6132 6237 6336 6424 6523 6912 7008 7116 7128 7227 7392 7884 8064 8176 8302 8316 8448 9072 9198 9344 9488 9504 9636 9856 10368 10512 10674 10752 11088 11242 11826 12096 12264 12453 12474 12672 12848 13046 13797 13824 14016 14232 14256 14454 14784 15768 16011 16128 16352 16604 16632 16863 16896 18144 18396 18688 18976 19008 19272 19569 19712 20736 21024 21348 21681 22176 22484 23652 24192 24528 24906 24948 25344 25696 26092 27594 28032 28464 28512 28908 29568 31536 32022 32256 32704 33208 33264 33726 36288 36792 37359 37376 37952 38016 38544 39138 39424 41391 41472 42048 42696 43289 43362 44352 44968 45661 47304 48033 48384 49056 49812 49896 50589 50688 51392 52184 55188 56064 56928 57024 57816 58707 59136 63072 64044 65043 65408 66416 66528 67452 72576 73584 74718 75904 76032 77088 78276 82782 84096 85392 86578 86724 88704 89936 91322 94608 96066 96768 98112 99624 99792 101178 102784 104368 110376 112077 112128 113856 114048 115632 117414 118272 126144 128088 129867 130086 130816 132832 133056 134904 136983 145152 147168 149436 151767 151808 152064 154176 156552 165564 168192 170784 173156 173448 176121 177408 179872 182644 189216 192132 196224 199248 199584 202356 205568 208736 220752 224154 227712 228096 231264 234828 252288 256176 259734 260172 261632 265664 266112 269808 273966 290304 294336 298872 303023 303534 303616 308352 313104 331128 336231 336384 341568 346312 346896 352242 354816 359744 365288 378432 384264 389601 392448 398496 399168 404712 410949 411136 417472 441504 448308 455301 455424 456192 462528 469656 476179 504576 512352 519468 520344 528363 531328 532224 539616 547932 588672 597744 606046 607068 616704 626208 662256 672462 683136 692624 693792 704484 719488 730576 756864 768528 779202 784896 796992 798336 809424 821898 834944 883008 896616 909069 910602 910848 925056 939312 952358 1009152 1024704 1038936 1040688 1056726 1062656 1064448 1079232 1095864 1168803 1177344 1195488 1212092 1214136 1232847 1233408 1252416 1324512 1344924 1366272 1385248 1387584 1408968 1428537 1438976 1461152 1513728 1537056 1558404 1593984 1596672 1618848 1643796 1669888 1766016 1793232 1818138 1821204 1850112 1878624 1904716 2049408 2077872 2081376 2113452 2125312 2158464 2191728 2337606 2354688 2390976 2424184 2428272 2465694 2504832 2649024 2689848 2727207 2732544 2770496 2775168 2817936 2857074 2877952 2922304 3027456 3074112 3116808 3187968 3193344 3237696 3287592 3333253 3339776 3506409 3532032 3586464 3636276 3642408 3698541 3700224 3757248 3809432 4098816 4155744 4162752 4226904 4285611 4316928 4383456 4675212 4781952 4848368 4856544 4931388 5009664 5298048 5379696 5454414 5540992 5550336 5635872 5714148 5844608 6148224 6233616 6375936 6475392 6575184 6666506 7012818 7064064 7172928 7272552 7284816 7397082 7514496 7618864 8181621 8197632 8311488 8325504 8453808 8571222 8633856 8766912 9350424 9563904 9696736 9713088 9862776 9999759 10019328 10596096 10759392 10908828 11081984 11100672 11271744 11428296 11689216 12296448 12467232 12856833 12950784 13150368 13333012 14025636 14345856 14545104 14569632 14794164 15028992 15237728 16363242 16622976 16651008 16907616 17142444 17533824 18700848 19127808 19393472 19426176 19725552 19999518 21192192 21518784 21817656 22163968 22543488 22856592 23378432 24544863 24592896 24934464 25713666 25901568 26300736 26666024 28051272 28691712 29090208 29139264 29588328 29999277 30057984 30475456 32726484 33245952 33302016 33815232 34284888 35067648 37401696 38570499 38786944 38852352 39451104 39999036 43037568 43635312 45086976 45713184 49089726 49868928 51427332 52601472 53332048 56102544 57383424 58180416 58278528 59176656 59998554 60950912 65452968 66491904 67630464 68569776 70135296 74803392 77140998 77573888 77704704 78902208 79998072 86075136 87270624 89997831 90173952 91426368 98179452 99737856 102854664 105202944 106664096 112205088 116360832 116557056 118353312 119997108 121901824 130905936 135260928 137139552 149606784 154281996 155147776 157804416 159996144 172150272 174541248 179995662 182852736 196358904 199475712 205709328 210405888 213328192 224410176 232721664 233114112 236706624 239994216 243803648 261811872 269993493 270521856 274279104 299213568 308563992 315608832 319992288 349082496 359991324 365705472 392717808 411418656 426656384 448820352 465443328 473413248 479988432 523623744 539986986 548558208 598427136 617127984 631217664 639984576 698164992 719982648 731410944 785435616 822837312 853312768 897640704 946826496 959976864 1047247488 1079973972 1097116416 1234255968 1279969152 1396329984 1439965296 1570871232 1645674624 1706625536 1795281408 1893652992 1919953728 2094494976 2159947944 2194232832 2468511936 2559938304 2879930592 3141742464 3291349248 3839907456 4188989952 4319895888 4937023872 5119876608 5759861184 6283484928 6582698496 7679814912 8639791776 9874047744 11519722368 12566969856 15359629824 17279583552 19748095488 23039444736 34559167104 46078889472 69118334208 138236668416
• Sum of all divisors σ(n): 522336532608
• Sum of proper divisors (its aliquot sum) s(n): 384099864192
• 138236668416 is an abundant number, because the sum of its proper divisors (384099864192) is greater than itself. Its abundance is 245863195776

Bases of 138236668416

• Binary: 10000000101111100011000010101000000000₂
• Hexadecimal: 0x202F8C2A00
• Base-36: 1RI6JK00

Squares and roots of 138236668416

• 138236668416 squared (138236668416²) is 19109376494755131949056
• 138236668416 cubed (138236668416³) is 2641616542141969538355982076215296
• The square root of 138236668416 is 371801.9209417833
• The cube root of 138236668416 is 5170.6017182421

Scales and comparisons

• 138,236,668,416 seconds is equal to 4,395 years, 25 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,236,668,416 would take you about eight thousand, seven hundred ninety 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 138236668416 cubic inches would be around 430.9 feet tall.

Recreational maths with 138236668416

• 138236668416 backwards is 614866632831
• 138236668416 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138236668416's digits is 54
• More coming soon!