138078501076992
138,078,501,076,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 138078501076992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138078501076992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138078501076992:
217 × 3 × 72 × 19 × 233 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 23 × 23 × 23 × 31)See below for interesting mathematical facts about the number 138078501076992 from the Numbermatics database.
Names of 138078501076992
- Cardinal: 138078501076992 can be written as One hundred thirty-eight trillion, seventy-eight billion, five hundred one million, seventy-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38078501076992 × 1014
Factors of 138078501076992
Divisors of 138078501076992
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 31 32 38 42 46 48 49 56 57 62 64 69 76 84 92 93 96 98 112 114 124 128 133 138 147 152 161 168 184 186 192 196 217 224 228 248 256 266 276 294 304 322 336 368 372 384 392 399 434 437 448 456 483 496 512 529 532 552 588 589 608 644 651 672 713 736 744 768 784 798 868 874 896 912 931 966 992 1024 1058 1064 1104 1127 1176 1178 1216 1288 1302 1311 1344 1426 1472 1488 1519 1536 1568 1587 1596 1736 1748 1767 1792 1824 1862 1932 1984 2048 2116 2128 2139 2208 2254 2352 2356 2432 2576 2604 2622 2688 2793 2852 2944 2976 3038 3059 3072 3136 3174 3192 3381 3472 3496 3534 3584 3648 3703 3724 3864 3968 4096 4123 4232 4256 4278 4416 4508 4557 4704 4712 4864 4991 5152 5208 5244 5376 5586 5704 5888 5952 6076 6118 6144 6272 6348 6384 6762 6944 6992 7068 7168 7296 7406 7448 7728 7936 8192 8246 8464 8512 8556 8832 9016 9114 9177 9408 9424 9728 9982 10051 10304 10416 10488 10752 11109 11172 11408 11776 11904 12152 12167 12236 12288 12369 12544 12696 12768 13524 13547 13888 13984 14136 14336 14592 14812 14896 14973 15456 15872 16384 16399 16492 16928 17024 17112 17664 18032 18228 18354 18816 18848 19456 19964 20102 20608 20832 20976 21413 21504 22218 22344 22816 23552 23808 24304 24334 24472 24576 24738 25088 25392 25536 25921 27048 27094 27776 27968 28272 28672 28861 29184 29624 29792 29946 30153 30912 31744 32768 32798 32984 33856 34048 34224 34937 35328 36064 36456 36501 36708 37632 37696 38912 39928 40204 40641 41216 41664 41952 42826 43008 44436 44688 45632 47104 47616 48608 48668 48944 49152 49197 49476 50176 50784 51072 51842 54096 54188 55552 55936 56544 57344 57722 58368 59248 59584 59892 60306 61824 63488 64239 65536 65596 65968 67712 68096 68448 69874 70357 70656 72128 72912 73002 73416 75264 75392 77763 77824 79856 80408 81282 82432 83328 83904 85169 85652 86016 86583 88872 89376 91264 94208 94829 95232 97216 97336 97888 98304 98394 98952 100352 101568 102144 103684 104811 108192 108376 111104 111872 113088 114688 114793 115444 116736 118496 119168 119784 120612 123648 126976 128478 131072 131192 131936 135424 136192 136896 139748 140714 141312 144256 145824 146004 146832 150528 150784 155526 155648 159712 160816 162564 164864 166656 167808 170338 171304 172032 173166 177744 178752 182528 188416 189658 190464 194432 194672 195776 196608 196788 197904 200704 203136 204288 207368 209622 211071 216384 216752 222208 223744 226176 229376 229586 230888 231173 233472 236992 238336 239568 241224 247296 253952 255507 256956 262384 263872 270848 272384 273792 279496 281428 282624 284487 288512 291648 292008 293664 301056 301568 311052 311296 311581 319424 321632 325128 329728 333312 335616 340676 342608 344064 344379 346332 355488 357504 365056 376832 377177 379316 380928 388864 389344 391552 393216 393576 395808 401408 406272 408576 414736 419244 422142 432768 433504 444416 447488 452352 458752 459172 461776 462346 466944 473984 476672 479136 482448 492499 494592 507904 511014 513912 524768 527744 541696 544768 547584 558992 562856 565248 568974 577024 583296 584016 587328 596183 602112 603136 622104 622592 623162 638848 643264 650256 659456 663803 666624 671232 681352 685216 688128 688758 692664 693519 710976 715008 730112 753664 754354 758632 761856 777728 778688 783104 787152 791616 802816 803551 812544 817152 829472 838488 844284 865536 867008 888832 894976 904704 917504 918344 923552 924692 933888 934743 947968 953344 958272 964896 984998 989184 1015808 1022028 1027824 1049536 1055488 1083392 1089536 1095168 1117984 1125712 1130496 1131531 1137948 1154048 1166592 1168032 1174656 1192366 1204224 1206272 1244208 1245184 1246324 1277696 1286528 1300512 1318912 1327606 1333248 1342464 1362704 1370432 1376256 1377516 1385328 1387038 1421952 1430016 1460224 1477497 1507328 1508708 1517264 1523712 1555456 1557376 1566208 1574304 1583232 1605632 1607102 1618211 1625088 1634304 1658944 1676976 1688568 1731072 1734016 1777664 1788549 1789952 1809408 1836688 1847104 1849384 1867776 1869486 1895936 1906688 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2790817792 2806644736 2809214296 2821152768 2837151744 2840653824 2899834112 2931354048 3025913856 3089833984 3107356672 3210530624 3224174592 3291344896 3314096128 3350118912 3397517312 3434446848 3458187264 3548481216 3662948352 3669177856 3761537024 3782868992 3787538432 3828707328 3908472064 3952214016 4034551808 4055407104 4078405632 4186226688 4209967104 4213821444 4349751168 4466825216 4579262464 4610916352 4634750976 4661035008 4731308288 4784259072 4815795936 4883931136 4937017344 4971144192 5096275968 5104943104 5326897152 5407209472 5437874176 5503766784 5581635584 5618428592 5642305536 5674303488 5681307648 5799668224 5862708096 6051827712 6179667968 6214713344 6421061248 6448349184 6582689792 6628192256 6700237824 6868893696 6916374528 7096962432 7325896704 7338355712 7523074048 7575076864 7657414656 7816944128 8069103616 8110814208 8156811264 8372453376 8419934208 8427642888 8699502336 8933650432 9221832704 9269501952 9322070016 9462616576 9631591872 9767862272 9874034688 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44947428736 45138444288 45450461184 46397345792 46901664768 48414621696 49437343744 51368489984 52661518336 53025538048 53601902592 56775699456 58607173632 58706845696 61259317248 62535553024 64552828928 64886513664 65254490112 67421143104 69596018688 71469203456 74156015616 75700932608 77052734976 78142898176 78992277504 79538307072 86515351552 87005986816 88060268544 89894857472 90900922368 92794691584 93803329536 96829243392 102736979968 105323036672 106051076096 107203805184 113551398912 117214347264 117413691392 122518634496 125071106048 129773027328 130508980224 134842286208 139192037376 142938406912 148312031232 151401865216 154105469952 157984555008 159076614144 173030703104 176120537088 179789714944 185589383168 187606659072 193658486784 205473959936 212102152192 214407610368 227102797824 234428694528 234827382784 250142212096 259546054656 261017960448 269684572416 278384074752 285876813824 302803730432 308210939904 315969110016 318153228288 346061406208 352241074176 359579429888 371178766336 375213318144 410947919872 428815220736 454205595648 469654765568 500284424192 519092109312 539369144832 556768149504 605607460864 616421879808 636306456576 704482148352 719158859776 742357532672 750426636288 821895839744 857630441472 908411191296 939309531136 1000568848384 1038184218624 1078738289664 1113536299008 1211214921728 1232843759616 1408964296704 1438317719552 1484715065344 1500853272576 1643791679488 1816822382592 2001137696768 2157476579328 2227072598016 2422429843456 2465687519232 2817928593408 2876635439104 3001706545152 3287583358976 3633644765184 4314953158656 4454145196032 4931375038464 5753270878208 6003413090304 6575166717952 7267289530368 8629906317312 9862750076928 11506541756416 17259812634624 19725500153856 23013083512832 34519625269248 46026167025664 69039250538496 138078501076992
- Sum of all divisors σ(n): 486564251443200
- Sum of proper divisors (its aliquot sum) s(n): 348485750366208
- 138078501076992 is an abundant number, because the sum of its proper divisors (348485750366208) is greater than itself. Its abundance is 210407249289216
Bases of 138078501076992
- Binary: 111110110010100111010000000001000000000000000002
- Hexadecimal: 0x7D94E8020000
- Base-36: 1CY0DYGK5C
Squares and roots of 138078501076992
- 138078501076992 squared (1380785010769922) is 19065672459668880903911768064
- 138078501076992 cubed (1380785010769923) is 2632559475255966285574488449090766910783488
-
The
square root of 138078501076992 is 11750680.8771658845 -
The
cube root of 138078501076992 is 51686.2893626533
Scales and comparisons
How big is 138078501076992?- 138,078,501,076,992 seconds is equal to 4,390,469 years, 11 weeks, 6 days, 12 hours, 3 minutes, 12 seconds.
-
To count from 1 to 138,078,501,076,992 would take you about ten million, nine hundred seventy-six thousand, one 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 138078501076992 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138078501076992
- 138078501076992 backwards is 299670105870831
- The number of decimal digits it has is: 15
- The sum of 138078501076992's digits is 66
- More coming soon!
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"Number 138078501076992 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138078501076992 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138078501076992/
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The information we have on file for 138078501076992 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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