138784403689984
138,784,403,689,984 is an even composite number composed of seven prime numbers multiplied together.
138784403689984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138784403689984:
29 × 13 × 17 × 31 × 53 × 683 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 31 × 53 × 683 × 1093)See below for interesting mathematical facts about the number 138784403689984 from the Numbermatics database.
Names of 138784403689984
- Cardinal: 138784403689984 can be written as One hundred thirty-eight trillion, seven hundred eighty-four billion, four hundred three million, six hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38784403689984 × 1014
Factors of 138784403689984
Divisors of 138784403689984
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 8 13 16 17 26 31 32 34 52 53 62 64 68 104 106 124 128 136 208 212 221 248 256 272 403 416 424 442 496 512 527 544 683 689 806 832 848 884 901 992 1054 1088 1093 1366 1378 1612 1643 1664 1696 1768 1802 1984 2108 2176 2186 2732 2756 3224 3286 3328 3392 3536 3604 3968 4216 4352 4372 5464 5512 6448 6572 6656 6784 6851 7072 7208 7936 8432 8704 8744 8879 10928 11024 11611 11713 12896 13144 13568 13702 14144 14209 14416 15872 16864 17488 17758 18581 21173 21359 21856 22048 23222 23426 25792 26288 27136 27404 27931 28288 28418 28832 33728 33883 34976 35516 36199 37162 42346 42718 43712 44096 46444 46852 51584 52576 54808 55862 56576 56836 57664 57929 67456 67766 69952 71032 72398 74324 84692 85436 87424 88192 92888 93704 103168 105152 109616 111724 113152 113672 115328 115858 134912 135532 139904 142064 144796 148648 150943 169384 170872 174848 176384 185776 187408 206336 210304 219232 223448 227344 230656 231716 241553 269824 271064 275249 279808 284128 289592 297296 301886 338768 341744 349696 352768 359941 363103 371552 374816 420608 438464 440479 446896 454688 461312 463432 470587 483106 542128 550498 559616 568256 576011 579184 594592 603772 615383 677536 683488 719882 726206 743104 746519 749632 753077 841216 876928 880958 893792 909376 926864 941174 966212 984793 1084256 1100996 1122169 1136512 1152022 1158368 1189184 1207544 1230766 1355072 1366976 1439764 1452412 1486208 1493038 1499264 1506154 1753856 1761916 1787584 1795799 1818752 1853728 1882348 1932424 1969586 2168512 2201992 2244338 2273024 2304044 2316736 2378368 2415088 2461532 2710144 2733952 2879528 2904824 2972416 2986076 2998528 3012308 3507712 3523832 3575168 3591598 3637504 3707456 3764696 3864848 3939172 4337024 4403984 4488676 4546048 4608088 4633472 4679233 4756736 4830176 4923064 5420288 5467904 5759056 5809648 5944832 5972152 5997056 6024616 7047664 7150336 7183196 7275008 7414912 7488143 7529392 7729696 7878344 7999979 8674048 8807968 8977352 9216176 9266944 9358466 9513472 9660352 9704747 9846128 10840576 10935808 11518112 11619296 11944304 12049232 12690823 12802309 14095328 14300672 14366392 14588197 14829824 14976286 15058784 15459392 15756688 15999958 17348096 17615936 17954704 18432352 18533888 18716932 19076873 19320704 19409494 19692256 23036224 23142089 23238592 23345387 23888608 24098464 25381646 25604618 28190656 28732784 29176394 29659648 29952572 30117568 30528583 30918784 31513376 31999916 35231872 35909408 36864704 37433864 38153746 38641408 38818988 39384512 39565507 46072448 46284178 46477184 46690774 47777216 48196928 50763292 51209236 56381312 57465568 58352788 59905144 60235136 61057166 61837568 63026752 63999832 70463744 71818816 73729408 74867728 76307492 77282816 77637976 78769024 79131014 92144896 92568356 92954368 93381548 95554432 96393856 101526584 102418472 112762624 114931136 116705576 119810288 120470272 122114332 123675136 126053504 127999664 140927488 143637632 147458816 149735456 152614984 155275952 157538048 158262028 164980699 184289792 185136712 185908736 186763096 191108864 192787712 203053168 204836944 225525248 229862272 233411152 239620576 240940544 244228664 247999349 252107008 255999328 287275264 294917632 299470912 300847157 305229968 310551904 315076096 316524056 329961398 370273424 373526192 382217728 385575424 393415513 396871579 406106336 409673888 459724544 466822304 479241152 488457328 495998698 504214016 511998656 514351591 574550528 598941824 601694314 610459936 621103808 633048112 659922796 672613619 740546848 747052384 786831026 793743158 812212672 819347776 919449088 933644608 958482304 976914656 991997396 1023997312 1028703182 1197883648 1203388628 1220919872 1226530717 1242207616 1266096224 1319845592 1345227238 1481093696 1494104768 1573662052 1587486316 1624425344 1638695552 1867289216 1916964608 1953829312 1983994792 2047994624 2057406364 2395767296 2406777256 2441839744 2453061434 2484415232 2532192448 2639691184 2690454476 2962187392 2988209536 3147324104 3174972632 3248850688 3277391104 3734578432 3833929216 3907658624 3967989584 4095989248 4114812728 4813554512 4883679488 4906122868 4968830464 5064384896 5114401669 5279382368 5380908952 5924374784 5976419072 6294648208 6349945264 6497701376 6554782208 7469156864 7815317248 7935979168 8229625456 8743977047 9627109024 9767358976 9812245736 10128769792 10228803338 10558764736 10761817904 11848749568 11952838144 12589296416 12699890528 15630634496 15871958336 15944899321 16459250912 17487954094 19254218048 19624491472 20257539584 20457606676 20851022189 21117529472 21523635808 25178592832 25399781056 31743916672 31889798642 32918501824 34975908188 38508436096 39248982944 40915213352 41702044378 42235058944 43047271616 50357185664 50799562112 63487833344 63779597284 65837003648 69951816376 77016872192 78497965888 81830426704 83404088756 84470117888 86094543232 100714371328 101599124224 126975666688 127559194568 131674007296 139903632752 154033744384 156995931776 163660853408 166808177512 172189086464 201428742656 203198248448 255118389136 263348014592 271063288457 279807265504 313991863552 327321706816 333616355024 344378172928 510236778272 542126576914 559614531008 627983727104 654643413632 667232710048 1020473556544 1084253153828 1119229062016 1309286827264 1334465420096 2040947113088 2168506307656 2238458124032 2618573654528 2668930840192 4081894226176 4337012615312 4476916248064 5337861680384 8163788452352 8674025230624 10675723360768 17348050461248 34696100922496 69392201844992 138784403689984
- Sum of all divisors σ(n): 333344532584448
- Sum of proper divisors (its aliquot sum) s(n): 194560128894464
- 138784403689984 is an abundant number, because the sum of its proper divisors (194560128894464) is greater than itself. Its abundance is 55775725204480
Bases of 138784403689984
- Binary: 111111000111001010000110001010100010010000000002
- Hexadecimal: 0x7E3943151200
- Base-36: 1D70OANE9S
Squares and roots of 138784403689984
- 138784403689984 squared (1387844036899842) is 19261110707584444515181920256
- 138784403689984 cubed (1387844036899843) is 2673141763958872914588092603485849233915904
-
The
square root of 138784403689984 is 11780679.2541849641 -
The
cube root of 138784403689984 is 51774.2187824195
Scales and comparisons
How big is 138784403689984?- 138,784,403,689,984 seconds is equal to 4,412,914 years, 38 weeks, 6 days, 15 hours, 13 minutes, 4 seconds.
-
To count from 1 to 138,784,403,689,984 would take you about eleven million, thirty-two thousand, two hundred eighty-six 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 138784403689984 cubic inches would be around 4314.5 feet tall.
Recreational maths with 138784403689984
- 138784403689984 backwards is 489986304487831
- The number of decimal digits it has is: 15
- The sum of 138784403689984's digits is 82
- More coming soon!
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The information we have on file for 138784403689984 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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