138432319220285440
138,432,319,220,285,440 is an even composite number composed of five prime numbers multiplied together.
138432319220285440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 138432319220285440:
216 × 5 × 79 × 192 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 29)See below for interesting mathematical facts about the number 138432319220285440 from the Numbermatics database.
Names of 138432319220285440
- Cardinal: 138432319220285440 can be written as One hundred thirty-eight quadrillion, four hundred thirty-two trillion, three hundred nineteen billion, two hundred twenty million, two hundred eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3843231922028544 × 1017
Factors of 138432319220285440
Divisors of 138432319220285440
- Number of divisors d(n): 2040
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 29 32 35 38 40 49 56 58 64 70 76 80 95 98 112 116 128 133 140 145 152 160 190 196 203 224 232 245 256 266 280 290 304 320 343 361 380 392 406 448 464 490 512 532 551 560 580 608 640 665 686 722 760 784 812 896 928 931 980 1015 1024 1064 1102 1120 1160 1216 1280 1330 1372 1421 1444 1520 1568 1624 1715 1792 1805 1856 1862 1960 2030 2048 2128 2204 2240 2320 2401 2432 2527 2560 2660 2744 2755 2842 2888 3040 3136 3248 3430 3584 3610 3712 3724 3857 3920 4060 4096 4256 4408 4480 4640 4655 4802 4864 5054 5120 5320 5488 5510 5684 5776 6080 6272 6496 6517 6860 7105 7168 7220 7424 7448 7714 7840 8120 8192 8512 8816 8960 9280 9310 9604 9728 9947 10108 10240 10469 10640 10976 11020 11368 11552 12005 12160 12544 12635 12992 13034 13720 14210 14336 14440 14848 14896 15428 15680 16240 16384 16807 17024 17632 17689 17920 18560 18620 19208 19285 19456 19894 20216 20480 20938 21280 21952 22040 22736 23104 24010 24320 25088 25270 25984 26068 26999 27440 28420 28672 28880 29696 29792 30856 31360 32480 32585 32768 33614 34048 35264 35378 35840 37120 37240 38416 38570 38912 39788 40432 40960 41876 42560 43904 44080 45472 45619 46208 48020 48640 49735 50176 50540 51968 52136 52345 53998 54880 56840 57344 57760 59392 59584 61712 62720 64960 65170 65536 67228 68096 69629 70528 70756 71680 73283 74240 74480 76832 77140 77824 79576 80864 81920 83752 84035 85120 87808 88160 88445 90944 91238 92416 96040 97280 99470 100352 101080 103936 104272 104690 107996 109760 113680 114688 115520 117649 118784 119168 123424 123823 125440 129920 130340 134456 134995 136192 139258 141056 141512 143360 146566 148480 148960 153664 154280 155648 159152 161728 163840 167504 168070 170240 175616 176320 176890 181888 182476 184832 188993 192080 194560 198940 200704 202160 207872 208544 209380 215992 219520 227360 228095 229376 231040 235298 237568 238336 246848 247646 250880 259840 260680 268912 269990 272384 278516 282112 283024 286720 293132 296960 297920 307328 308560 311296 318304 319333 323456 327680 335008 336140 340480 348145 351232 352640 353780 363776 364952 366415 369664 377986 384160 389120 397880 401408 404320 415744 417088 418760 431984 439040 454720 456190 458752 462080 470596 475136 476672 487403 493696 495292 501760 512981 519680 521360 537824 539980 544768 557032 564224 566048 573440 586264 588245 593920 595840 614656 617120 619115 622592 636608 638666 646912 670016 672280 680960 696290 702464 705280 707560 727552 729904 732830 739328 755972 768320 778240 795760 802816 808640 823543 831488 834176 837520 863968 866761 878080 909440 912380 924160 941192 944965 950272 953344 974806 987392 990584 1003520 1025962 1039360 1042720 1075648 1079960 1089536 1114064 1128448 1132096 1146880 1172528 1176490 1187840 1191680 1229312 1234240 1238230 1245184 1273216 1277332 1293824 1322951 1340032 1344560 1361920 1392580 1404928 1410560 1415120 1455104 1459808 1465660 1478656 1511944 1536640 1556480 1591520 1596665 1605632 1617280 1647086 1662976 1668352 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59669103112192 61800142509056 62809582223360 65052781588480 67593905869280 68193260699648 70628734296064 74346036101120 74586378890240 76693805662208 77250178136320 80718553481216 85241575874560 88285917870080 91073894223872 95867257077760 97418943856640 100898191851520 104084450541568 108150249390848 113842367779840 119338206224384 123600285018112 125619164446720 130105563176960 135187811738560 136386521399296 141257468592128 148692072202240 149172757780480 154500356272640 170483151749120 176571835740160 182147788447744 191734514155520 201796383703040 208168901083136 216300498781696 227684735559680 238676412448768 247200570036224 251238328893440 260211126353920 270375623477120 282514937184256 298345515560960 309000712545280 340966303498240 353143671480320 364295576895488 383469028311040 403592767406080 432600997563392 455369471119360 477352824897536 494401140072448 520422252707840 540751246954240 565029874368512 596691031121920 618001425090560 681932606996480 706287342960640 728591153790976 865201995126784 910738942238720 954705649795072 988802280144896 1040844505415680 1081502493908480 1193382062243840 1236002850181120 1412574685921280 1457182307581952 1730403990253568 1821477884477440 1977604560289792 2163004987816960 2386764124487680 2472005700362240 2825149371842560 3460807980507136 3642955768954880 3955209120579584 4326009975633920 4773528248975360 4944011400724480 6921615961014272 7285911537909760 8652019951267840 9888022801448960 13843231922028544 17304039902535680 19776045602897920 27686463844057088 34608079805071360 69216159610142720 138432319220285440
- Sum of all divisors σ(n): 423187900225849440
- Sum of proper divisors (its aliquot sum) s(n): 284755581005564000
- 138432319220285440 is an abundant number, because the sum of its proper divisors (284755581005564000) is greater than itself. Its abundance is 146323261785278560
Bases of 138432319220285440
- Binary: 1111010111100111101110101111111001000111100000000000000002
- Hexadecimal: 0x1EBCF75FC8F0000
- Base-36: 11V25TIF6ZGG
Squares and roots of 138432319220285440
- 138432319220285440 squared (1384323192202854402) is 19163507004707009650796395075993600
- 138432319220285440 cubed (1384323192202854403) is 2652848719055776833990090859219905516887483613184000
-
The
square root of 138432319220285440 is 372064939.5203550215 -
The
cube root of 138432319220285440 is 517303.9941293415
Scales and comparisons
How big is 138432319220285440?- 138,432,319,220,285,440 seconds is equal to 4,401,719,551 years, 48 weeks, 1 day, 10 hours, 50 minutes, 40 seconds.
-
To count from 1 to 138,432,319,220,285,440 would take you about thirteen billion, two hundred five million, one hundred fifty-eight thousand, six hundred fifty-five 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 138432319220285440 cubic inches would be around 43108.7 feet tall.
Recreational maths with 138432319220285440
- 138432319220285440 backwards is 044582022913234831
- The number of decimal digits it has is: 18
- The sum of 138432319220285440's digits is 61
- More coming soon!
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"Number 138432319220285440 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138432319220285440 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138432319220285440/
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Numbermatics. 2024. "Number 138432319220285440 - Facts about the integer". https://numbermatics.com/n/138432319220285440/
The information we have on file for 138432319220285440 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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