138648018432
138,648,018,432 is an even composite number composed of seven prime numbers multiplied together.
138648018432 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138648018432:
29 × 3 × 7 × 112 × 19 × 71 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 19 × 71 × 79)See below for interesting mathematical facts about the number 138648018432 from the Numbermatics database.
Names of 138648018432
- Cardinal: 138648018432 can be written as One hundred thirty-eight billion, six hundred forty-eight million, eighteen thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38648018432 × 1011
Factors of 138648018432
Divisors of 138648018432
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 56 57 64 66 71 76 77 79 84 88 96 112 114 121 128 132 133 142 152 154 158 168 176 192 209 213 224 228 231 237 242 256 264 266 284 304 308 316 336 352 363 384 399 418 426 448 456 462 474 484 497 512 528 532 553 568 608 616 627 632 672 704 726 768 781 798 836 847 852 869 896 912 924 948 968 994 1056 1064 1106 1136 1216 1232 1254 1264 1344 1349 1408 1452 1463 1491 1501 1536 1562 1596 1659 1672 1694 1704 1738 1792 1824 1848 1896 1936 1988 2112 2128 2212 2272 2299 2343 2432 2464 2508 2528 2541 2607 2688 2698 2816 2904 2926 2982 3002 3124 3192 3318 3344 3388 3408 3476 3584 3648 3696 3792 3872 3976 4047 4224 4256 4389 4424 4503 4544 4598 4686 4864 4928 5016 5056 5082 5214 5376 5396 5467 5609 5632 5808 5852 5964 6004 6083 6248 6384 6636 6688 6776 6816 6897 6952 7296 7392 7584 7744 7952 8094 8448 8512 8591 8778 8848 9006 9088 9196 9372 9443 9559 9728 9856 10032 10112 10164 10428 10507 10752 10792 10934 11218 11616 11704 11928 12008 12166 12496 12768 13272 13376 13552 13632 13794 13904 14592 14784 14839 15168 15488 15904 16093 16188 16401 16511 16827 16896 17024 17182 17556 17696 18012 18176 18249 18392 18744 18886 19118 19712 20064 20224 20328 20856 21014 21584 21868 22436 23232 23408 23856 24016 24332 24992 25536 25773 26544 26752 27104 27264 27588 27808 28329 28677 29184 29568 29678 30336 30976 31521 31808 32186 32376 32802 33022 33654 34048 34364 35112 35392 36024 36352 36498 36784 37488 37772 38236 39263 39424 40128 40448 40656 41712 42028 43168 43736 44517 44872 46464 46816 47712 48032 48279 48664 49533 49984 51072 51546 53088 53504 54208 54528 55176 55616 56658 57354 59136 59356 60137 60672 61699 61952 63042 63616 64372 64752 65604 66044 66913 67308 68096 68728 70224 70784 72048 72996 73568 74976 75544 76472 78526 80256 81312 83424 84056 86336 87472 89034 89744 92928 93632 95424 96064 96558 97328 99066 99968 102144 103092 103873 106176 106571 107008 108416 109056 110352 111232 113316 114708 115577 117789 118272 118712 120274 121344 123398 126084 127232 128744 129504 131208 132088 133826 134616 137456 140448 141568 144096 145992 147136 149952 151088 152944 157052 160512 162624 163229 166848 168112 172672 174944 178068 179488 180411 181621 185097 185856 187264 190848 192128 193116 194656 198132 199936 200739 204288 206184 207746 212352 213142 216832 220704 222464 226632 229416 231154 235578 237424 240548 246796 252168 254464 257488 259008 262416 264176 267652 269232 274912 280896 283136 288192 291984 294272 299904 302176 305888 311619 314104 319713 321024 325248 326458 333696 336224 345344 346731 349888 356136 358976 360822 363242 370194 374528 381696 384256 386232 389312 396264 399872 401478 412368 415492 424704 426284 431893 433664 441408 444928 453264 458832 462308 471156 474848 481096 489687 493592 504336 514976 518016 524832 528352 535304 538464 544863 549824 561792 576384 583968 588544 599808 604352 611776 623238 628208 639426 650496 652916 667392 672448 678689 690688 693462 699776 712272 717952 721644 726484 740388 745997 749056 763392 768512 772464 778624 792528 802956 824736 830984 849408 852568 863786 882816 906528 917664 924616 942312 949696 962192 979374 987184 1008672 1029952 1036032 1049664 1056704 1070608 1076928 1089726 1099648 1123584 1142603 1152768 1167936 1172281 1177088 1199616 1208704 1223552 1246476 1256416 1271347 1278852 1295679 1300992 1305832 1334784 1344896 1357378 1386924 1399552 1424544 1435904 1443288 1452968 1480776 1491994 1544928 1557248 1585056 1605912 1649472 1661968 1705136 1727572 1765632 1813056 1835328 1849232 1884624 1899392 1924384 1958748 1974368 2017344 2036067 2059904 2072064 2099328 2113408 2141216 2153856 2179452 2199296 2237991 2247168 2285206 2305536 2335872 2344562 2417408 2447104 2492952 2512832 2542694 2557704 2591358 2611664 2689792 2714756 2773848 2799104 2849088 2871808 2886576 2905936 2961552 2983988 3089856 3114496 3170112 3211824 3298944 3323936 3410272 3427809 3455144 3516843 3531264 3626112 3670656 3698464 3769248 3798784 3814041 3848768 3917496 3948736 4034688 4072134 4119808 4198656 4226816 4282432 4307712 4358904 4398592 4475982 4570412 4671744 4689124 4750823 4834816 4894208 4985904 5025664 5085388 5115408 5182716 5223328 5379584 5429512 5547696 5698176 5773152 5811872 5923104 5967976 6179712 6340224 6423648 6597888 6647872 6820544 6855618 6910288 7033686 7252224 7341312 7396928 7538496 7597568 7628082 7697536 7834992 7897472 8069376 8144268 8205967 8239616 8397312 8453632 8564864 8615424 8717808 8951964 9140824 9343488 9378248 9501646 9971808 10051328 10170776 10230816 10365432 10446656 10859024 11095392 11396352 11546304 11623744 11846208 11935952 12359424 12680448 12847296 12895091 13195776 13295744 13641088 13711236 13820576 14067372 14252469 14504448 14682624 14793856 15076992 15256164 15395072 15669984 15794944 16138752 16288536 16411934 17129728 17435616 17903928 18281648 18756496 19003292 19943616 20102656 20341552 20461632 20730864 20893312 21718048 22190784 22792704 23092608 23247488 23692416 23871904 24617901 24718848 25360896 25694592 25790182 26591488 27282176 27422472 27641152 28134744 28504938 29587712 30153984 30512328 30790144 31339968 31589888 32577072 32823868 34259456 34871232 35807856 36563296 37512992 38006584 38685273 39887232 40683104 40923264 41461728 41786624 43436096 44381568 46185216 46494976 47384832 47743808 49235802 51389184 51580364 53182976 54564352 54844944 55282304 56269488 57009876 59175424 60307968 61024656 62679936 65154144 65647736 69742464 71615712 73126592 75025984 76013168 77370546 79774464 81366208 81846528 82923456 83573248 86872192 88763136 90265637 92370432 92989952 94769664 95487616 98471604 102778368 103160728 109689888 110564608 112538976 114019752 122049312 125359872 130308288 131295472 139484928 143231424 146253184 150051968 152026336 154741092 159548928 162732416 163693056 165846912 173744384 177526272 180531274 190975232 196943208 206321456 219379776 221129216 225077952 228039504 244098624 250719744 260616576 262590944 270796911 278969856 286462848 292506368 300103936 304052672 309482184 325464832 331693824 347488768 361062548 381950464 393886416 412642912 438759552 450155904 456079008 488197248 521233152 525181888 541593822 572925696 585012736 600207872 608105344 618964368 650929664 663387648 722125096 787772832 825285824 877519104 900311808 912158016 976394496 1042466304 1050363776 1083187644 1145851392 1216210688 1237928736 1444250192 1575545664 1650571648 1755038208 1800623616 1824316032 1952788992 2100727552 2166375288 2432421376 2475857472 2888500384 3151091328 3301143296 3648632064 4201455104 4332750576 4951714944 5777000768 6302182656 6602286592 7297264128 8665501152 9903429888 11554001536 12604365312 17331002304 19806859776 23108003072 34662004608 46216006144 69324009216 138648018432
- Sum of all divisors σ(n): 501567897600
- Sum of proper divisors (its aliquot sum) s(n): 362919879168
- 138648018432 is an abundant number, because the sum of its proper divisors (362919879168) is greater than itself. Its abundance is 224271860736
Bases of 138648018432
- Binary: 100000010010000001000011011110000000002
- Hexadecimal: 0x204810DE00
- Base-36: 1ROZG7PC
Squares and roots of 138648018432
- 138648018432 squared (1386480184322) is 19223273015120211738624
- 138648018432 cubed (1386480184323) is 2665268711323755331832483118317568
-
The
square root of 138648018432 is 372354.6943869513 -
The
cube root of 138648018432 is 5175.7253488723
Scales and comparisons
How big is 138648018432?- 138,648,018,432 seconds is equal to 4,408 years, 30 weeks, 10 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,648,018,432 would take you about eight thousand, eight hundred seventeen 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 138648018432 cubic inches would be around 431.3 feet tall.
Recreational maths with 138648018432
- 138648018432 backwards is 234810846831
- 138648018432 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138648018432's digits is 48
- More coming soon!
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The information we have on file for 138648018432 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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