137989646644289440
137,989,646,644,289,440 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137989646644289440 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
137989646644289440 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137989646644289440:
25 × 5 × 72 × 11 × 13 × 37 × 181 × 941 × 19531
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 13 × 37 × 181 × 941 × 19531)See below for interesting mathematical facts about the number 137989646644289440 from the Numbermatics database.
Names of 137989646644289440
- Cardinal: 137989646644289440 can be written as One hundred thirty-seven quadrillion, nine hundred eighty-nine trillion, six hundred forty-six billion, six hundred forty-four million, two hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3798964664428944 × 1017
Factors of 137989646644289440
Divisors of 137989646644289440
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 37 40 44 49 52 55 56 65 70 74 77 80 88 91 98 104 110 112 130 140 143 148 154 160 176 181 182 185 196 208 220 224 245 259 260 280 286 296 308 352 362 364 370 385 392 407 416 440 455 481 490 518 520 539 560 572 592 616 637 715 724 728 740 770 784 814 880 905 910 941 962 980 1001 1036 1040 1078 1120 1144 1184 1232 1267 1274 1295 1430 1448 1456 1480 1540 1568 1628 1760 1810 1813 1820 1882 1924 1960 1991 2002 2035 2072 2080 2156 2288 2353 2405 2464 2534 2548 2590 2695 2849 2860 2896 2912 2960 3080 3185 3256 3367 3620 3626 3640 3764 3848 3920 3982 4004 4070 4144 4312 4576 4705 4706 4810 5005 5068 5096 5180 5291 5390 5698 5720 5792 5920 6160 6335 6370 6512 6587 6697 6734 7007 7240 7252 7280 7528 7696 7840 7964 8008 8140 8288 8624 8869 9065 9410 9412 9620 9955 10010 10136 10192 10351 10360 10582 10780 11396 11440 11765 12233 12320 12670 12740 13024 13174 13394 13468 13937 14014 14245 14480 14504 14560 15056 15392 15928 16016 16280 16471 16835 17248 17738 18130 18820 18824 19240 19531 19910 19943 20020 20272 20384 20702 20720 21164 21560 22792 22880 23530 23569 24466 25340 25480 25883 26348 26455 26788 26936 27874 28028 28490 28960 29008 30112 31856 32032 32560 32935 32942 33485 33670 34817 35035 35476 36260 37037 37640 37648 38480 39062 39820 39886 40040 40544 41404 41440 42328 43120 44345 45584 46109 46879 47060 47138 48932 50680 50960 51755 51766 52696 52910 53576 53872 55748 56056 56980 58016 61165 63712 65120 65870 65884 66970 67340 69634 69685 70070 70952 72457 72520 73667 74074 75280 75296 76960 78124 79640 79772 80080 82355 82808 84656 85631 86240 87061 88690 91168 92218 93758 94120 94276 97559 97655 97864 99715 101360 101920 103510 103532 105392 105820 107152 107744 111496 112112 113960 115297 117845 122330 129415 131740 131768 133940 134563 134680 136717 139268 139370 140140 141904 144914 145040 147334 148148 150560 156248 159280 159544 160160 164710 165616 169312 170321 171262 174085 174122 177380 181181 184436 185185 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9686882881312 9846556774960 9900957641120 10245741509080 10302347815760 10474392488560 10595028151435 10831212452456 10891053405232 11200458331517 11280114987680 11728826744096 12062032049326 12108603601640 12800523807448 13040034647920 13319463961804 13331044985440 13539015565570 13613816756540 13785179484944 13861340697568 14344038112712 14661033430120 14664149483984 15222244527776 15558647721760 16000654759310 16649329952255 16952045042296 17231474356180 17326675871960 17600720235241 17930047640890 18330186854980 18954621791798 19027805659720 19059343459156 19693113549920 20491483018160 20604695631520 20948784977120 21190056302870 21662424904912 21782106810464 22400916663034 23309061933157 23824179323945 24124064098652 24217207203280 25601047614896 26080069295840 26638927923608 27078031131140 27227633513080 27570358969888 28688076225424 29322066860240 29328298967968 30155080123315 32001309518620 33298659904510 33904090084592 34462948712360 34653351743920 35201440470482 35860095281780 36660373709960 37909243583596 38055611319440 38118686918312 40982966036320 42380112605740 43324849809824 44801833326068 46618123866314 47386554479495 47648358647890 48248128197304 48434414406560 51202095229792 53277855847216 54156062262280 54455267026160 56002291657585 57376152450848 58644133720480 60310160246630 64002619037240 66341176271293 66597319809020 67808180169184 68925897424720 69306703487840 70402880940964 71720190563560 73320747419920 75818487167192 76111222638880 76237373836624 78403208320619 84760225211480 88003601176205 89603666652136 93236247732628 94773108958990 95296717295780 96496256394608 106555711694432 108312124524560 108910534052320 112004583315170 116545309665785 120620320493260 123205041646687 128005238074480 132682352542586 133194639618040 137851794849440 140805761881928 143440381127120 146641494839840 151636974334384 152474747673248 156806416641238 169520450422960 176007202352410 179207333304272 186472495465256 189546217917980 190593434591560 192992512789216 216624249049120 224009166630340 233090619331570 241240640986520 246410083293374 256010476148960 265364705085172 266389279236080 281611523763856 286880762254240 303273948668768 313612833282476 331705881356465 339040900845920 352014404704820 358414666608544 372944990930512 379092435835960 381186869183120 392016041603095 448018333260680 466181238663140 482481281973040 492820166586748 530729410170344 532778558472160 563223047527712 616025208233435 627225666564952 663411762712930 704028809409640 745889981861024 758184871671920 762373738366240 784032083206190 862435291526809 896036666521360 932362477326280 964962563946080 985640333173496 1061458820340688 1232050416466870 1254451333129904 1326823525425860 1408057618819280 1516369743343840 1568064166412380 1724870583053618 1792073333042720 1864724954652560 1971280666346992 2122917640681376 2464100832933740 2508902666259808 2653647050851720 2816115237638560 3136128332824760 3449741166107236 3729449909305120 3942561332693984 4312176457634045 4928201665867480 5307294101703440 6272256665649520 6899482332214472 8624352915268090 9856403331734960 10614588203406880 12544513331299040 13798964664428944 17248705830536180 19712806663469920 27597929328857888 34497411661072360 68994823322144720 137989646644289440
- Sum of all divisors σ(n): 460604885665946112
- Sum of proper divisors (its aliquot sum) s(n): 322615239021656672
- 137989646644289440 is an abundant number, because the sum of its proper divisors (322615239021656672) is greater than itself. Its abundance is 184625592377367232
Bases of 137989646644289440
- Binary: 1111010100011110011011010001111101110101000011111101000002
- Hexadecimal: 0x1EA3CDA3EEA1FA0
- Base-36: 11QP8WJCWVJ4
Squares and roots of 137989646644289440
- 137989646644289440 squared (1379896466442894402) is 19041142581015859909385362495513600
- 137989646644289440 cubed (1379896466442894403) is 2627480536457911919764541260473944198617059856384000
-
The
square root of 137989646644289440 is 371469577.0104053083 -
The
cube root of 137989646644289440 is 516752.0016013505
Scales and comparisons
How big is 137989646644289440?- 137,989,646,644,289,440 seconds is equal to 4,387,643,933 years, 14 weeks, 6 days, 7 hours, 30 minutes, 40 seconds.
-
To count from 1 to 137,989,646,644,289,440 would take you about thirteen billion, one hundred sixty-two million, nine hundred thirty-one thousand, seven hundred ninety-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 137989646644289440 cubic inches would be around 43062.7 feet tall.
Recreational maths with 137989646644289440
- 137989646644289440 backwards is 044982446646989731
- The number of decimal digits it has is: 18
- The sum of 137989646644289440's digits is 94
- More coming soon!
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"Number 137989646644289440 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 137989646644289440 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/137989646644289440/
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The information we have on file for 137989646644289440 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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