138375089437500
138,375,089,437,500 is an even composite number composed of five prime numbers multiplied together.
138375089437500 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred eighty-two divisors.
Prime factorization of 138375089437500:
22 × 36 × 56 × 31 × 3132
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 31 × 313 × 313)See below for interesting mathematical facts about the number 138375089437500 from the Numbermatics database.
Names of 138375089437500
- Cardinal: 138375089437500 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, eighty-nine million, four hundred thirty-seven thousand, five hundred.
Scientific notation
- Scientific notation: 1.383750894375 × 1014
Factors of 138375089437500
Divisors of 138375089437500
- Number of divisors d(n): 882
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 81 90 93 100 108 124 125 135 150 155 162 180 186 225 243 250 270 279 300 310 313 324 372 375 405 450 465 486 500 540 558 620 625 626 675 729 750 775 810 837 900 930 939 972 1116 1125 1215 1250 1252 1350 1395 1458 1500 1550 1565 1620 1674 1860 1875 1878 2025 2250 2325 2430 2500 2511 2700 2790 2817 2916 3100 3125 3130 3348 3375 3645 3750 3756 3875 4050 4185 4500 4650 4695 4860 5022 5580 5625 5634 6075 6250 6260 6750 6975 7290 7500 7533 7750 7825 8100 8370 8451 9300 9375 9390 9703 10044 10125 11250 11268 11625 12150 12500 12555 13500 13950 14085 14580 15066 15500 15625 15650 16740 16875 16902 18225 18750 18780 19375 19406 20250 20925 22500 22599 23250 23475 24300 25110 25353 27900 28125 28170 29109 30132 30375 31250 31300 33750 33804 34875 36450 37500 37665 38750 38812 39125 40500 41850 42255 45198 46500 46875 46950 48515 50220 50625 50706 56250 56340 58125 58218 60750 62500 62775 67500 69750 70425 72900 75330 76059 77500 78250 83700 84375 84510 87327 90396 91125 93750 93900 96875 97030 97969 101250 101412 104625 112500 112995 116250 116436 117375 121500 125550 126765 139500 140625 140850 145545 150660 151875 152118 156500 168750 169020 174375 174654 182250 187500 188325 193750 194060 195625 195938 202500 209250 211275 225990 228177 232500 234750 242575 251100 253125 253530 261981 281250 281700 290625 291090 293907 303750 304236 313875 337500 348750 349308 352125 364500 376650 380295 387500 391250 391876 418500 421875 422550 436635 451980 455625 456354 469500 484375 485150 489845 506250 507060 523125 523962 562500 564975 581250 582180 586875 587814 607500 627750 633825 697500 704250 727725 753300 759375 760590 782500 785943 843750 845100 871875 873270 881721 911250 912708 941625 968750 970300 978125 979690 1012500 1046250 1047924 1056375 1129950 1140885 1162500 1173750 1175628 1212875 1255500 1265625 1267650 1309905 1408500 1453125 1455450 1469535 1518750 1521180 1569375 1571886 1687500 1743750 1746540 1760625 1763442 1822500 1883250 1901475 1937500 1956250 1959380 2092500 2112750 2183175 2259900 2278125 2281770 2347500 2357829 2425750 2449225 2531250 2535300 2615625 2619810 2645163 2824875 2906250 2910900 2934375 2939070 3037039 3037500 3138750 3143772 3169125 3487500 3521250 3526884 3638625 3766500 3796875 3802950 3912500 3929715 4225500 4359375 4366350 4408605 4556250 4563540 4708125 4715658 4851500 4890625 4898450 5062500 5231250 5239620 5281875 5290326 5649750 5704425 5812500 5868750 5878140 6064375 6074078 6277500 6338250 6549525 7042500 7073487 7277250 7347675 7593750 7605900 7846875 7859430 7935489 8718750 8732700 8803125 8817210 9111117 9112500 9416250 9431316 9507375 9781250 9796900 10462500 10563750 10580652 10915875 11299500 11390625 11408850 11737500 11789145 12128750 12148156 12246125 12676500 13078125 13099050 13225815 14124375 14146974 14554500 14671875 14695350 15185195 15187500 15693750 15718860 15845625 15870978 17437500 17606250 17634420 18193125 18222234 18832500 19014750 19562500 19648575 21127500 21831750 22043025 22781250 22817700 23540625 23578290 23806467 24257500 24492250 26156250 26198100 26409375 26451630 27333351 28248750 28293948 28522125 29343750 29390700 30321875 30370390 31387500 31691250 31741956 32747625 35212500 35367435 36386250 36444468 36738375 38029500 39234375 39297150 39677445 43663500 44015625 44086050 45555585 45562500 47081250 47156580 47536875 47612934 48984500 52312500 52818750 52903260 54579375 54666702 56497500 57044250 58687500 58945725 60643750 60740780 61230625 63382500 65495250 66129075 70621875 70734870 71419401 72772500 73476750 75925975 78468750 78594300 79228125 79354890 82000053 88031250 88172100 90965625 91111170 94162500 95073750 95225868 98242875 105637500 109158750 109333404 110215125 114088500 117703125 117891450 119032335 121287500 122461250 130990500 132046875 132258150 136666755 141243750 141469740 142610625 142838802 146953500 151609375 151851950 156937500 158456250 158709780 163738125 164000106 176062500 176837175 181931250 182222340 183691875 190147500 196485750 198387225 218317500 220430250 227777925 235406250 235782900 237684375 238064670 244922500 246000159 264093750 264516300 272896875 273333510 282487500 285221250 285677604 294728625 303218750 303703900 306153125 316912500 327476250 328000212 330645375 353109375 353674350 357097005 363862500 367383750 379629875 392971500 396140625 396774450 410000265 440860500 454828125 455555850 470812500 475368750 476129340 491214375 492000318 528187500 545793750 546667020 551075625 570442500 589457250 595161675 606437500 612306250 654952500 661290750 683333775 706218750 707348700 713053125 714194010 734767500 738000477 759259750 792281250 793548900 818690625 820000530 884185875 909656250 911111700 918459375 950737500 982428750 984000636 991936125 1091587500 1102151250 1138889625 1178914500 1188421875 1190323350 1224612500 1230000795 1322581500 1364484375 1366667550 1412437500 1426106250 1428388020 1473643125 1476000954 1518519500 1530765625 1584562500 1637381250 1640001060 1653226875 1768371750 1785485025 1819312500 1836918750 1898149375 1964857500 1983872250 2050001325 2204302500 2214001431 2277779250 2376843750 2380646700 2456071875 2460001590 2728968750 2733335100 2755378125 2852212500 2947286250 2952001908 2975808375 3061531250 3274762500 3306453750 3416668875 3536743500 3565265625 3570970050 3673837500 3690002385 3796298750 3967744500 4093453125 4100002650 4420929375 4428002862 4555558500 4592296875 4753687500 4912143750 4920003180 4959680625 5457937500 5510756250 5694448125 5894572500 5951616750 6123062500 6150003975 6612907500 6833337750 7130531250 7141940100 7368215625 7380004770 7592597500 8186906250 8200005300 8266134375 8841858750 8856005724 8927425125 9184593750 9490746875 9824287500 9919361250 10250006625 11021512500 11070007155 11388896250 11903233500 12280359375 12300007950 13666675500 13776890625 14261062500 14736431250 14760009540 14879041875 16373812500 16532268750 17083344375 17683717500 17854850250 18369187500 18450011925 18981493750 19838722500 20500013250 22104646875 22140014310 22777792500 24560718750 24600015900 24798403125 27553781250 28472240625 29472862500 29758083750 30750019875 33064537500 34166688750 35709700500 36841078125 36900023850 37962987500 41000026500 41330671875 44209293750 44280028620 44637125625 47453734375 49121437500 49596806250 51250033125 55107562500 55350035775 56944481250 59516167500 61500039750 68333377500 73682156250 73800047700 74395209375 82661343750 85416721875 88418587500 89274251250 92250059625 94907468750 99193612500 102500066250 110523234375 110700071550 113888962500 123000079500 123992015625 142361203125 147364312500 148790418750 153750099375 165322687500 170833443750 178548502500 184500119250 189814937500 205000132500 221046468750 221400143100 223185628125 247984031250 256250165625 276750178875 284722406250 297580837500 307500198750 341666887500 369000238500 371976046875 427083609375 442092937500 446371256250 461250298125 495968062500 512500331250 553500357750 569444812500 615000397500 743952093750 768750496875 854167218750 892742512500 922500596250 1025000662500 1107000715500 1115928140625 1281250828125 1383750894375 1487904187500 1537500993750 1708334437500 1845001192500 2231856281250 2306251490625 2562501656250 2767501788750 3075001987500 3843752484375 4463712562500 4612502981250 5125003312500 5535003577500 6918754471875 7687504968750 9225005962500 11531257453125 13837508943750 15375009937500 23062514906250 27675017887500 34593772359375 46125029812500 69187544718750 138375089437500
- Sum of all divisors σ(n): 469971004919136
- Sum of proper divisors (its aliquot sum) s(n): 331595915481636
- 138375089437500 is an abundant number, because the sum of its proper divisors (331595915481636) is greater than itself. Its abundance is 193220826044136
Bases of 138375089437500
- Binary: 111110111011001111101100000110100111011001111002
- Hexadecimal: 0x7DD9F60D3B3C
- Base-36: 1D1SMZIFR0
Squares and roots of 138375089437500
- 138375089437500 squared (1383750894375002) is 19147665376836124066406250000
- 138375089437500 cubed (1383750894375003) is 2649559909039020808469811032958984375000000
-
The
square root of 138375089437500 is 11763294.1575691287 -
The
cube root of 138375089437500 is 51723.2697493675
Scales and comparisons
How big is 138375089437500?- 138,375,089,437,500 seconds is equal to 4,399,899 years, 42 weeks, 5 days, 3 hours, 45 minutes.
-
To count from 1 to 138,375,089,437,500 would take you about ten million, nine hundred ninety-nine thousand, seven hundred forty-nine 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 138375089437500 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375089437500
- 138375089437500 backwards is 005734980573831
- The number of decimal digits it has is: 15
- The sum of 138375089437500's digits is 63
- More coming soon!
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"Number 138375089437500 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138375089437500 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138375089437500/
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The information we have on file for 138375089437500 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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