138208072974336

Names of 138208072974336

• Cardinal: 138208072974336 can be written as One hundred thirty-eight trillion, two hundred eight billion, seventy-two million, nine hundred seventy-four thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 1.38208072974336 × 10¹⁴

Factors of 138208072974336

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 12077

Divisors of 138208072974336

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 512 558 576 648 729 744 768 837 864 961 972 992 1024 1116 1152 1296 1458 1488 1536 1674 1728 1922 1944 1984 2048 2232 2304 2511 2592 2883 2916 2976 3072 3348 3456 3844 3888 3968 4096 4464 4608 5022 5184 5766 5832 5952 6144 6696 6912 7533 7688 7776 7936 8192 8649 8928 9216 10044 10368 11532 11664 11904 12041 12288 13392 13824 15066 15376 15552 15872 16384 17298 17856 18432 20088 20736 22599 23064 23328 23808 24082 24576 25947 26784 27648 30132 30752 31104 31744 34596 35712 36123 36864 40176 41472 45198 46128 46656 47616 48164 49152 51894 53568 55296 60264 61504 62208 63488 69192 71424 72246 73728 77841 80352 82944 90396 92256 93312 95232 96328 103788 107136 108369 110592 120528 123008 124416 126976 138384 142848 144492 147456 155682 160704 165888 180792 184512 186624 190464 192656 207576 214272 216738 221184 233523 241056 246016 248832 253952 276768 285696 288984 311364 321408 325107 331776 361584 369024 373248 373271 380928 385312 415152 428544 433476 442368 467046 482112 492032 497664 507904 553536 571392 577968 622728 642816 650214 663552 700569 723168 738048 746496 746542 761856 770624 830304 857088 866952 934092 964224 975321 984064 995328 1107072 1119813 1142784 1155936 1245456 1285632 1300428 1327104 1401138 1446336 1476096 1492992 1493084 1523712 1541248 1660608 1714176 1733904 1868184 1928448 1950642 1968128 1990656 2214144 2239626 2285568 2311872 2490912 2571264 2600856 2802276 2892672 2925963 2952192 2985984 2986168 3082496 3321216 3359439 3428352 3467808 3736368 3856896 3901284 3936256 3981312 4428288 4479252 4571136 4623744 4981824 5142528 5201712 5604552 5785344 5851926 5904384 5971968 5972336 6164992 6642432 6718878 6856704 6935616 7472736 7713792 7802568 7872512 8777889 8856576 8958504 9247488 9963648 10078317 10285056 10403424 11209104 11570688 11571401 11703852 11808768 11943936 11944672 12329984 13284864 13437756 13713408 13871232 14945472 15427584 15605136 15745024 17555778 17713152 17917008 18494976 19927296 20156634 20570112 20806848 22418208 23141376 23142802 23407704 23617536 23889344 24659968 26569728 26875512 27742464 29890944 30234951 30855168 31210272 34714203 35111556 35426304 35834016 36989952 39854592 40313268 41140224 41613696 44836416 46282752 46285604 46815408 47235072 47778688 49319936 53139456 53751024 55484928 59781888 60469902 61710336 62420544 69428406 70223112 70852608 71668032 73979904 79709184 80626536 83227392 89672832 90704853 92565504 92571208 93630816 95557376 98639872 104142609 106278912 107502048 110969856 119563776 120939804 123420672 124841088 138856812 140446224 141705216 143336064 147959808 159418368 161253072 166454784 179345664 181409706 185131008 185142416 187261632 191114752 197279744 208285218 212557824 215004096 221939712 239127552 241879608 249682176 272114559 277713624 280892448 286672128 295919616 312427827 318836736 322506144 332909568 358691328 362819412 370262016 370284832 374523264 382229504 416570436 425115648 430008192 443879424 478255104 483759216 499364352 544229118 555427248 561784896 573344256 591839232 624855654 637673472 645012288 665819136 717382656 725638824 740569664 749046528 764459008 833140872 860016384 887758848 937283481 956510208 967518432 998728704 1088458236 1110854496 1123569792 1146688512 1249711308 1275346944 1290024576 1331638272 1434765312 1451277648 1481139328 1498093056 1528918016 1666281744 1720032768 1775517696 1874566962 1913020416 1935036864 1997457408 2176916472 2221708992 2247139584 2293377024 2499422616 2580049152 2663276544 2811850443 2869530624 2902555296 2962278656 2996186112 3057836032 3332563488 3440065536 3749133924 3826040832 3870073728 3994914816 4353832944 4443417984 4494279168 4586754048 4998845232 5160098304 5326553088 5623700886 5739061248 5805110592 5924557312 5992372224 6115672064 6665126976 6880131072 7498267848 7740147456 7989829632 8435551329 8707665888 8886835968 8988558336 9173508096 9997690464 10320196608 11247401772 11478122496 11610221184 11849114624 11984744448 13330253952 13760262144 14996535696 15480294912 15979659264 16871102658 17415331776 17773671936 17977116672 18347016192 19995380928 20640393216 22494803544 23220442368 23698229248 23969488896 26660507904 27520524288 29993071392 30960589824 33742205316 34830663552 35547343872 35954233344 39990761856 41280786432 44989607088 46440884736 47396458496 47938977792 53321015808 55041048576 59986142784 61921179648 67484410632 69661327104 71094687744 71908466688 79981523712 82561572864 89979214176 92881769472 94792916992 106642031616 119972285568 123842359296 134968821264 139322654208 142189375488 143816933376 159963047424 165123145728 179958428352 185763538944 189585833984 213284063232 239944571136 247684718592 269937642528 278645308416 284378750976 319926094848 359916856704 371527077888 426568126464 479889142272 495369437184 539875285056 557290616832 568757501952 639852189696 719833713408 743054155776 853136252928 959778284544 1079750570112 1114581233664 1279704379392 1439667426816 1486108311552 1706272505856 1919556569088 2159501140224 2229162467328 2559408758784 2879334853632 3839113138176 4319002280448 4458324934656 5118817517568 5758669707264 7678226276352 8638004560896 11517339414528 15356452552704 17276009121792 23034678829056 34552018243584 46069357658112 69104036487168 138208072974336
• Sum of all divisors σ(n): 428257240684686
• Sum of proper divisors (its aliquot sum) s(n): 290049167710350
• 138208072974336 is an abundant number, because the sum of its proper divisors (290049167710350) is greater than itself. Its abundance is 151841094736014

Bases of 138208072974336

• Binary: 11111011011001100010011000110000100000000000000₂
• Hexadecimal: 0x7DB313184000
• Base-36: 1CZNWU8000

Squares and roots of 138208072974336

• 138208072974336 squared (138208072974336²) is 19101471435279385029714640896
• 138208072974336 cubed (138208072974336³) is 2639977558044287858666898120720556864045056
• The square root of 138208072974336 is 11756192.9626191489
• The cube root of 138208072974336 is 51702.4516587005

Scales and comparisons

• 138,208,072,974,336 seconds is equal to 4,394,589 years, 11 weeks, 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,208,072,974,336 would take you about ten million, nine hundred eighty-six thousand, four hundred seventy-three 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 138208072974336 cubic inches would be around 4308.5 feet tall.

Recreational maths with 138208072974336

• 138208072974336 backwards is 633479270802831
• The number of decimal digits it has is: 15
• The sum of 138208072974336's digits is 63
• More coming soon!