138140632224

Names of 138140632224

• Cardinal: 138140632224 can be written as One hundred thirty-eight billion, one hundred forty million, six hundred thirty-two thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38140632224 × 10¹¹

Factors of 138140632224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 163

Divisors of 138140632224

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 151 162 168 189 196 216 224 243 252 288 294 302 324 336 343 378 392 432 441 453 486 504 567 588 604 648 672 686 756 784 864 882 906 972 1008 1029 1057 1134 1176 1208 1296 1323 1359 1372 1512 1568 1701 1764 1812 1944 2016 2058 2114 2268 2352 2401 2416 2592 2646 2718 2744 3024 3087 3171 3402 3528 3624 3888 3969 4077 4116 4228 4536 4704 4802 4832 5292 5436 5488 6048 6174 6342 6804 7056 7203 7248 7399 7776 7938 8154 8232 8456 9072 9261 9513 9604 10584 10872 10976 11907 12231 12348 12684 13608 14112 14406 14496 14798 15876 16308 16464 16807 16912 18144 18522 19026 19208 21168 21609 21744 22197 23814 24462 24696 25368 27216 27783 28539 28812 29596 31752 32616 32928 33614 33824 36693 37044 38052 38416 42336 43218 43488 44394 47628 48924 49392 50421 50736 51793 54432 55566 57078 57624 59192 63504 64827 65232 66591 67228 73386 74088 76104 76832 83349 85617 86436 88788 95256 97848 98784 100842 101472 103586 111132 114156 115248 117649 118384 127008 129654 130464 133182 134456 146772 148176 151263 152208 155379 166698 171234 172872 177576 190512 194481 195696 199773 201684 207172 222264 228312 230496 235298 236768 256851 259308 266364 268912 293544 296352 302526 304416 310758 333396 342468 345744 352947 355152 362551 381024 388962 391392 399546 403368 414344 444528 453789 456624 466137 470596 513702 518616 532728 537824 583443 587088 599319 605052 621516 666792 684936 691488 705894 710304 725102 777924 799092 806736 828688 889056 907578 913248 932274 941192 1027404 1037232 1058841 1065456 1087653 1166886 1174176 1198638 1210104 1243032 1333584 1361367 1369872 1398411 1411788 1450204 1555848 1598184 1613472 1657376 1797957 1815156 1864548 1882384 2054808 2074464 2117682 2130912 2175306 2333772 2397276 2420208 2486064 2537857 2667168 2722734 2739744 2796822 2823576 2900408 3111696 3176523 3196368 3262959 3595914 3630312 3729096 3764768 4084101 4109616 4195233 4235364 4350612 4667544 4794552 4840416 4972128 5075714 5445468 5593644 5647152 5800816 6223392 6353046 6392736 6525918 7191828 7260624 7458192 7613571 8168202 8219232 8390466 8470728 8701224 9335088 9529569 9589104 9788877 10151428 10890936 11187288 11294304 11601632 12585699 12706092 13051836 14383656 14521248 14916384 15227142 16336404 16780932 16941456 17402448 17764999 18670176 19059138 19178208 19577754 20302856 21781872 22374576 22840713 25171398 25412184 26103672 28588707 28767312 29366631 30454284 32672808 33561864 33882912 34804896 35529998 38118276 39155508 40605712 43563744 44749152 45681426 50342796 50824368 52207344 53294997 57177414 57534624 58733262 60908568 65345616 67123728 68522139 71059996 76236552 78311016 81211424 88099893 91362852 100685592 101648736 104414688 106589994 114354828 117466524 121817136 130691232 134247456 137044278 142119992 152473104 156622032 159884991 176199786 182725704 201371184 205566417 213179988 228709656 234933048 243634272 274088556 284239984 304946208 313244064 319769982 352399572 365451408 402742368 411132834 426359976 457419312 469866096 479654973 548177112 568479968 616699251 639539964 704799144 730902816 822265668 852719952 914838624 939732192 959309946 1096354224 1233398502 1279079928 1409598288 1438964919 1644531336 1705439904 1918619892 2192708448 2466797004 2558159856 2819196576 2877929838 3289062672 3837239784 4316894757 4933594008 5116319712 5755859676 6578125344 7674479568 8633789514 9867188016 11511719352 15348959136 17267579028 19734376032 23023438704 34535158056 46046877408 69070316112 138140632224
• Sum of all divisors σ(n): 478431783648
• Sum of proper divisors (its aliquot sum) s(n): 340291151424
• 138140632224 is an abundant number, because the sum of its proper divisors (340291151424) is greater than itself. Its abundance is 202150519200

Bases of 138140632224

• Binary: 10000000101001110100101100010010100000₂
• Hexadecimal: 0x2029D2C4A0
• Base-36: 1RGLD600

Squares and roots of 138140632224

• 138140632224 squared (138140632224²) is 19082834271246427186176
• 138140632224 cubed (138140632224³) is 2636114790855795755999533992935424
• The square root of 138140632224 is 371672.7488315493
• The cube root of 138140632224 is 5169.4040622195

Scales and comparisons

• 138,140,632,224 seconds is equal to 4,392 years, 23 weeks, 21 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,140,632,224 would take you about eight thousand, seven hundred eighty-four 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 138140632224 cubic inches would be around 430.8 feet tall.

Recreational maths with 138140632224

• 138140632224 backwards is 422236041831
• 138140632224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138140632224's digits is 36
• More coming soon!