138465645417216
138,465,645,417,216 is an even composite number composed of six prime numbers multiplied together.
138465645417216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138465645417216:
28 × 32 × 132 × 31 × 953 × 12037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 31 × 953 × 12037)See below for interesting mathematical facts about the number 138465645417216 from the Numbermatics database.
Names of 138465645417216
- Cardinal: 138465645417216 can be written as One hundred thirty-eight trillion, four hundred sixty-five billion, six hundred forty-five million, four hundred seventeen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38465645417216 × 1014
Factors of 138465645417216
Divisors of 138465645417216
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 169 186 192 208 234 248 256 279 288 312 338 372 384 403 416 468 496 507 558 576 624 676 744 768 806 832 936 953 992 1014 1116 1152 1209 1248 1352 1488 1521 1612 1664 1872 1906 1984 2028 2232 2304 2418 2496 2704 2859 2976 3042 3224 3328 3627 3744 3812 3968 4056 4464 4836 4992 5239 5408 5718 5952 6084 6448 7254 7488 7624 7936 8112 8577 8928 9672 9984 10478 10816 11436 11904 12037 12168 12389 12896 14508 14976 15248 15717 16224 17154 17856 19344 20956 21632 22872 23808 24074 24336 24778 25792 29016 29543 29952 30496 31434 32448 34308 35712 36111 37167 38688 41912 43264 45744 47151 48148 48672 49556 51584 58032 59086 60992 62868 64896 68616 71424 72222 74334 77376 83824 88629 91488 94302 96296 97344 99112 103168 108333 111501 116064 118172 121984 125736 129792 137232 144444 148668 154752 156481 161057 167648 177258 182976 188604 192592 194688 198224 216666 223002 232128 236344 243968 251472 265887 274464 288888 297336 309504 312962 322114 335296 354516 365952 373147 377208 384059 385184 389376 396448 433332 446004 464256 469443 472688 483171 502944 531774 548928 577776 594672 625924 644228 670592 709032 731904 746294 754416 768118 770368 792896 866664 892008 928512 938886 945376 966342 1005888 1063548 1097856 1119441 1152177 1155552 1189344 1251848 1288456 1341184 1408329 1418064 1449513 1492588 1508832 1536236 1540736 1585792 1733328 1784016 1877772 1890752 1932684 2011776 2034253 2127096 2195712 2238882 2304354 2311104 2378688 2503696 2576912 2816658 2836128 2899026 2985176 3017664 3072472 3081472 3171584 3358323 3456531 3466656 3568032 3755544 3781504 3865368 4023552 4068506 4254192 4477764 4608708 4622208 4757376 4850911 4992767 5007392 5153824 5633316 5672256 5798052 5970352 6035328 6102759 6144944 6716646 6913062 6933312 7136064 7511088 7563008 7730736 8137012 8508384 8955528 9217416 9244416 9514752 9701822 9985534 10014784 10307648 11266632 11344512 11471261 11596104 11940704 12070656 12205518 12289888 13433292 13826124 13866624 14272128 14552733 14978301 15022176 15461472 16274024 17016768 17911056 18308277 18434832 19403644 19971068 20029568 20615296 22533264 22689024 22942522 23192208 23881408 24411036 24579776 26866584 27652248 27733248 28544256 29105466 29956602 30044352 30922944 32548048 34033536 34413783 35822112 36616554 36869664 38807288 39942136 40059136 41230592 43658199 44934903 45066528 45885044 46384416 47762816 48822072 49159552 53733168 55304496 58210932 59913204 60088704 61845888 63061843 65096096 68067072 68827566 71644224 73233108 73739328 77614576 79884272 87316398 89869806 90133056 91770088 92768832 95525632 97644144 98319104 103241349 107466336 110608992 116421864 119826408 120177408 123691776 126123686 130192192 137655132 143288448 146466216 147478656 149126393 155229152 159768544 174632796 179739612 180266112 183540176 185537664 189185529 195288288 206482698 214932672 221217984 232843728 239652816 252247372 260384384 275310264 286576896 292932432 294957312 298252786 310458304 319537088 349265592 355609091 359479224 360532224 367080352 371075328 378371058 390576576 412965396 429865344 442435968 447379179 465687456 479305632 504494744 520768768 550620528 567556587 585864864 596505572 620916608 639074176 698531184 711218182 718958448 734160704 756742116 781153152 825930792 859730688 884871936 894758358 931374912 958611264 1008989488 1066827273 1101241056 1135113174 1171729728 1193011144 1241833216 1278148352 1342137537 1397062368 1422436364 1437916896 1468321408 1513484232 1562306304 1651861584 1789516716 1862749824 1917222528 1938643109 2017978976 2133654546 2202482112 2270226348 2343459456 2386022288 2684275074 2794124736 2844872728 2875833792 2936642816 3026968464 3200481819 3303723168 3579033432 3725499648 3834445056 3877286218 4035957952 4267309092 4404964224 4540452696 4622918183 4686918912 4772044576 5368550148 5588249472 5689745456 5751667584 5815929327 6053936928 6400963638 6607446336 7158066864 7754572436 8071915904 8534618184 8809928448 9080905392 9245836366 9544089152 10737100296 11176498944 11379490912 11503335168 11631858654 12107873856 12801927276 13214892672 13868754549 14316133728 15509144872 16143831808 17069236368 17447787981 18161810784 18491672732 19088178304 21474200592 22758981824 23263717308 24215747712 25603854552 26429785344 27737509098 28632267456 31018289744 34138472736 34895575962 36323621568 36983345464 38176356608 41606263647 42948401184 45517963648 46527434616 48431495424 51207709104 55475018196 57264534912 60097936379 62036579488 68276945472 69791151924 72647243136 73966690928 83212527294 85896802368 91035927296 93054869232 102415418208 110950036392 114529069824 120195872758 124073158976 136553890944 139582303848 145294486272 147933381856 166425054588 171793604736 180293809137 186109738464 204830836416 221900072784 240391745516 248146317952 273107781888 279164607696 295866763712 332850109176 343587209472 360587618274 372219476928 409661672832 443800145568 480783491032 496292635904 540881427411 558329215392 591733527424 665700218352 721175236548 744438953856 819323345664 887600291136 961566982064 1081762854822 1116658430784 1183467054848 1331400436704 1442350473096 1488877907712 1775200582272 1923133964128 2163525709644 2233316861568 2662800873408 2884700946192 3550401164544 3846267928256 4327051419288 4466633723136 5325601746816 5769401892384 7692535856512 8654102838576 10651203493632 11538803784768 15385071713024 17308205677152 23077607569536 34616411354304 46155215139072 69232822708608 138465645417216
- Sum of all divisors σ(n): 446753572626816
- Sum of proper divisors (its aliquot sum) s(n): 308287927209600
- 138465645417216 is an abundant number, because the sum of its proper divisors (308287927209600) is greater than itself. Its abundance is 169822281792384
Bases of 138465645417216
- Binary: 111110111101111000010111001101111010011000000002
- Hexadecimal: 0x7DEF0B9BD300
- Base-36: 1D2Y8M7CW0
Squares and roots of 138465645417216
- 138465645417216 squared (1384656454172162) is 19172734960806190262709190656
- 138465645417216 cubed (1384656454172163) is 2654765120761250644126463008257490808733696
-
The
square root of 138465645417216 is 11767142.6190565057 -
The
cube root of 138465645417216 is 51734.5502720275
Scales and comparisons
How big is 138465645417216?- 138,465,645,417,216 seconds is equal to 4,402,779 years, 11 weeks, 3 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,465,645,417,216 would take you about eleven million, six thousand, nine hundred forty-eight 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 138465645417216 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138465645417216
- 138465645417216 backwards is 612714546564831
- The number of decimal digits it has is: 15
- The sum of 138465645417216's digits is 63
- More coming soon!
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The information we have on file for 138465645417216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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