103744006442752
103,744,006,442,752 is an even composite number composed of six prime numbers multiplied together.
103744006442752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 103744006442752:
28 × 132 × 192 × 31 × 472 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 19 × 31 × 47 × 47 × 97)See below for interesting mathematical facts about the number 103744006442752 from the Numbermatics database.
Names of 103744006442752
- Cardinal: 103744006442752 can be written as One hundred three trillion, seven hundred forty-four billion, six million, four hundred forty-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.03744006442752 × 1014
Factors of 103744006442752
Divisors of 103744006442752
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 47 52 62 64 76 94 97 104 124 128 152 169 188 194 208 247 248 256 304 338 361 376 388 403 416 494 496 589 608 611 676 722 752 776 806 832 893 988 992 1178 1216 1222 1261 1352 1444 1457 1504 1552 1612 1664 1786 1843 1976 1984 2209 2356 2432 2444 2522 2704 2888 2914 3007 3008 3104 3211 3224 3328 3572 3686 3952 3968 4418 4559 4693 4712 4864 4888 5044 5239 5408 5776 5828 6014 6016 6208 6422 6448 7144 7372 7657 7904 7936 7943 8836 9118 9386 9424 9776 10088 10478 10816 11191 11552 11609 11656 12028 12032 12416 12844 12896 14288 14744 15314 15808 15886 16393 16967 17672 18236 18772 18848 18941 19552 20176 20956 21632 22382 23104 23218 23312 23959 24056 24832 25688 25792 27683 28576 28717 29488 30628 31616 31772 32786 33934 35017 35344 36472 37544 37696 37882 39091 39104 40352 41912 41971 43264 44764 46208 46436 46624 47918 48112 51376 51584 55366 57133 57152 57434 58976 59267 61009 61256 63232 63544 65572 67868 68479 70034 70688 72944 75088 75392 75764 78182 78208 80704 83824 83942 86621 89528 92416 92872 93248 95836 96224 99541 102752 103168 110732 114266 114304 114868 117952 118534 122018 122512 127088 131144 135736 136958 140068 141329 141376 145483 145888 150176 150784 150917 151528 156364 156416 161408 167648 167884 173242 179056 185744 186496 191672 192448 199082 205504 214273 220571 221464 228532 228608 229736 235904 237068 244036 245024 246233 254176 262288 271472 273916 280136 282658 282752 290966 291776 300352 301834 303056 311467 312728 322816 335296 335768 346484 358112 359879 371488 372992 373321 383344 384896 398164 411008 428546 441142 442928 455221 457064 459472 471808 474136 488072 490048 492466 508183 508352 524576 525977 542944 545623 547832 560272 565316 565504 581932 583552 600704 603668 606112 622934 625456 670592 671536 692968 716224 719758 742729 742976 746642 766688 769792 770471 796328 797449 822016 857092 882284 885856 890227 910442 914128 918944 948272 976144 980096 984932 1016366 1016704 1049152 1051954 1085527 1085888 1091246 1095664 1120544 1126073 1130632 1163864 1167104 1201408 1207336 1212224 1245868 1250912 1301101 1341184 1343072 1385936 1432448 1439516 1485458 1485952 1493284 1533376 1540942 1592656 1594898 1645799 1714184 1764568 1771712 1780454 1820884 1828256 1837277 1837888 1891279 1896544 1952288 1960192 1969864 2032732 2033408 2098304 2103908 2171054 2171776 2182492 2191328 2241088 2252146 2261264 2327728 2414672 2424448 2491736 2501824 2602202 2685251 2686144 2771872 2785549 2864896 2867423 2879032 2970916 2971904 2986568 3066752 3081884 3185312 3189796 3291598 3428368 3529136 3543424 3560908 3641768 3656512 3674554 3675776 3782558 3793088 3904576 3939728 4065464 4071187 4196608 4207816 4342108 4343552 4364984 4382656 4482176 4504292 4522528 4655456 4678427 4829344 4848896 4983472 5003648 5204404 5370502 5372288 5543744 5571098 5734846 5758064 5917873 5941832 5973136 6133504 6163768 6370624 6379592 6583196 6642463 6837701 6856736 7058272 7086848 7093099 7121816 7283536 7313024 7349108 7351552 7565116 7586176 7809152 7879456 8130928 8142374 8415632 8684216 8729968 8765312 8964352 9008584 9045056 9310912 9356854 9655477 9658688 9966944 10007296 10366837 10408808 10741004 10744576 11087488 11142196 11469692 11516128 11572951 11835746 11883664 11946272 12327536 12741248 12759184 13166392 13284926 13675402 13713472 14111851 14116544 14186198 14243632 14567072 14626048 14638949 14698216 15130232 15172352 15618304 15758912 16261856 16284748 16831264 16914313 17368432 17459936 17530624 18017168 18090112 18621824 18713708 19310954 19317376 19933888 20733674 20817616 21395387 21482008 22174976 22284392 22939384 23032256 23145902 23671492 23767328 23884601 23892544 24655072 24720919 25482496 25518368 26332784 26569852 27350804 27426944 28223702 28233088 28372396 28487264 29134144 29277898 29396432 30260464 31517824 32523712 32569496 33662528 33828626 34736864 34908263 34919872 36034336 36180224 36212137 37243648 37427416 38621908 38634752 39867776 41467348 41635232 42790774 42964016 44568784 45878768 46064512 46291804 47342984 47534656 47769202 47785088 49310144 49441838 51019769 51036736 52665568 52925431 53139704 54701608 54853888 56447404 56466176 56744792 56974528 58268288 58555796 58792864 60520928 63035648 65047424 65138992 67325056 67657252 69473728 69816526 69839744 72068672 72424274 74854832 77243816 77352553 79735552 82934696 83270464 85581548 85928032 86352019 88890113 89137568 91757536 92129024 92583608 94685968 95069312 95538404 95570176 98620288 98883676 102039538 102073472 105331136 105850862 106279408 109403216 112894808 113489584 113949056 116536576 117111592 117585728 121041856 126206797 130094848 130277984 134650112 134768881 135314504 138947456 139633052 139679488 144137344 144848548 149709664 154487632 154705106 165869392 166540928 171163096 171856064 172704038 177780226 178275136 183454063 183515072 185167216 189371936 190138624 191076808 197240576 197767352 204079076 204146944 210662272 211701724 212558816 218806432 219886069 225789616 226979168 227898112 234223184 235171456 242083712 252413594 260555968 269537762 270629008 277894912 278140031 279266104 288274688 289697096 299419328 308975264 309410212 321371947 331738784 333081856 342326192 343712128 345408076 355560452 356550272 366908126 367030144 370334432 378743872 382153616 395534704 408158152 421324544 423403448 425117632 437612864 439772138 451579232 453807419 453958336 468446368 470342912 484167424 504827188 521111936 539075524 541258016 556280062 558532208 579394192 598838656 617950528 618820424 642743894 663256997 663477568 684652384 687424256 688030603 690816152 711120904 713100544 733816252 734060288 740668864 757487744 764307232 791069408 816316304 846806896 850235264 875225728 879544276 903158464 907614838 907916672 936892736 1005583189 1009654376 1042223872 1078151048 1082516032 1112560124 1117064416 1122576247 1158788384 1197677312 1235901056 1237640848 1285487788 1326513994 1326955136 1369304768 1376061206 1381632304 1422241808 1467632504 1481337728 1514975488 1528614464 1582138816 1632632608 1640688361 1693613792 1700470528 1750451456 1759088552 1806316928 1815229676 1815833344 1873785472 2011166378 2019308752 2156302096 2165032064 2225120248 2234128832 2245152494 2317576768 2397929143 2471802112 2475281696 2570975576 2653027988 2653910272 2738609536 2752122412 2763264608 2844483616 2935265008 2962675456 3057228928 3164277632 3265265216 3281376722 3387227584 3518177104 3612633856 3630459352 3747570944 4022332756 4038617504 4177835311 4312604192 4330064128 4450240496 4468257664 4490304988 4635153536 4795858286 4950563392 5141951152 5306055976 5477219072 5504244824 5526529216 5688967232 5870530016 6114457856 6328555264 6530530432 6562753444 6774455168 7036354208 7260918704 8044665512 8077235008 8355670622 8622340961 8625208384 8900480992 8936515328 8980609976 9270307072 9591716572 9901126784 10283902304 10612111952 11008489648 11053058432 11377934464 11741060032 13061060864 13072581457 13125506888 13548910336 14072708416 14521837408 16089331024 16154470016 16711341244 17244681922 17250416768 17800961984 17961219952 19183433144 19802253568 20567804608 21224223904 21328948693 22016979296 22106116864 22755868928 23482120064 26145162914 26251013776 28145416832 29043674816 31173078859 32178662048 32308940032 33422682488 34489363844 34500833536 35601923968 35922439904 38366866288 41135609216 42448447808 42657897386 44033958592 46964240128 52290325828 52502027552 56290833664 58087349632 62346157718 64357324096 66845364976 68978727688 71203847936 71844879808 76733732576 82271218432 84896895616 85315794772 88067917184 104580651656 105004055104 116174699264 124692315436 128714648192 133690729952 137957455376 143689759616 153467465152 169793791232 170631589544 176135834368 209161303312 210008110208 249384630872 257429296384 267381459904 275914910752 287379519232 306934930304 341263179088 405250025167 418322606624 420016220416 498769261744 534762919808 551829821504 613869860608 682526358176 810500050334 836645213248 997538523488 1069525839616 1103659643008 1365052716352 1621000100668 1673290426496 1995077046976 2207319286016 2730105432704 3242000201336 3346580852992 3990154093952 5460210865408 6484000402672 7980308187904 12968000805344 25936001610688 51872003221376 103744006442752
- Sum of all divisors σ(n): 252176480168256
- Sum of proper divisors (its aliquot sum) s(n): 148432473725504
- 103744006442752 is an abundant number, because the sum of its proper divisors (148432473725504) is greater than itself. Its abundance is 44688467282752
Bases of 103744006442752
- Binary: 101111001011010110010001010011011001111000000002
- Hexadecimal: 0x5E5AC8A6CF00
- Base-36: 10RVC6UFB4
Squares and roots of 103744006442752
- 103744006442752 squared (1037440064427522) is 10762818872793768485053333504
- 103744006442752 cubed (1037440064427523) is 1116577950481289536043170525653310539563008
-
The
square root of 103744006442752 is 10185480.1773285093 -
The
cube root of 103744006442752 is 46988.0770182949
Scales and comparisons
How big is 103744006442752?- 103,744,006,442,752 seconds is equal to 3,298,738 years, 26 weeks, 1 day, 7 hours, 25 minutes, 52 seconds.
-
To count from 1 to 103,744,006,442,752 would take you about eight million, two hundred forty-six thousand, eight hundred forty-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 103744006442752 cubic inches would be around 3915.7 feet tall.
Recreational maths with 103744006442752
- 103744006442752 backwards is 257244600447301
- The number of decimal digits it has is: 15
- The sum of 103744006442752's digits is 49
- More coming soon!
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The information we have on file for 103744006442752 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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