138367461800960
138,367,461,800,960 is an even composite number composed of six prime numbers multiplied together.
138367461800960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 138367461800960:
210 × 5 × 74 × 173 × 29 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 29 × 79)See below for interesting mathematical facts about the number 138367461800960 from the Numbermatics database.
Names of 138367461800960
- Cardinal: 138367461800960 can be written as One hundred thirty-eight trillion, three hundred sixty-seven billion, four hundred sixty-one million, eight hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3836746180096 × 1014
Factors of 138367461800960
Divisors of 138367461800960
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 29 32 34 35 40 49 56 58 64 68 70 79 80 85 98 112 116 119 128 136 140 145 158 160 170 196 203 224 232 238 245 256 272 280 289 290 316 320 340 343 392 395 406 448 464 476 490 493 512 544 553 560 578 580 595 632 640 680 686 784 790 812 833 896 928 952 980 986 1015 1024 1088 1106 1120 1156 1160 1190 1264 1280 1343 1360 1372 1421 1445 1568 1580 1624 1666 1715 1792 1856 1904 1960 1972 2023 2030 2176 2212 2240 2291 2312 2320 2380 2401 2465 2528 2560 2686 2720 2744 2765 2842 2890 3136 3160 3248 3332 3430 3451 3584 3712 3808 3871 3920 3944 4046 4060 4165 4352 4424 4480 4582 4624 4640 4760 4802 4913 4930 5056 5120 5372 5440 5488 5530 5684 5780 5831 6272 6320 6496 6664 6715 6860 6902 7105 7168 7424 7616 7742 7840 7888 8092 8120 8330 8381 8704 8848 8960 9164 9248 9280 9401 9520 9604 9826 9860 9947 10112 10115 10744 10880 10976 11060 11368 11455 11560 11662 12005 12544 12640 12992 13328 13430 13720 13804 14161 14210 14848 15232 15484 15680 15776 16037 16184 16240 16660 16762 17255 17408 17696 17920 18328 18496 18560 18802 19040 19208 19355 19652 19720 19894 20224 20230 21488 21760 21952 22120 22736 22831 22910 23120 23324 24010 24157 24565 25088 25280 25984 26656 26860 27097 27440 27608 28322 28420 29155 29696 30464 30968 31360 31552 32074 32368 32480 33320 33524 34391 34510 35392 35840 36656 36992 37120 37604 38080 38416 38710 38947 39304 39440 39788 40448 40460 40817 41905 42976 43520 43904 44240 45472 45662 45820 46240 46648 47005 48020 48314 49130 49735 50176 50560 51968 53312 53720 54194 54880 55216 56644 56840 58310 58667 60928 61936 62720 63104 64148 64736 64960 65807 66640 67048 68782 69020 69629 70784 70805 73312 73984 74240 75208 76160 76832 77420 77894 78608 78880 79576 80185 80896 80920 81634 83810 85952 87040 87808 88480 90944 91324 91640 92480 93296 94010 96040 96628 98260 99127 99470 101120 103936 106624 107440 108388 109760 110432 112259 113288 113680 114155 116620 117334 120785 121856 123872 125440 126208 128296 129472 129920 131614 133280 134096 135485 137564 138040 139258 141568 141610 142477 146624 147968 148480 150416 152320 153664 154840 155788 157216 157760 159152 159817 160370 161840 163268 167620 169099 171904 171955 175616 176960 181888 182648 183280 184960 186592 188020 189679 192080 193256 194735 196520 198254 198940 202240 204085 207872 213248 214880 216776 219520 220864 224518 226576 227360 228310 233240 234668 240737 241570 247744 250880 252416 256592 258944 259840 263228 266560 268192 270970 272629 275128 276080 278516 283136 283220 284954 293248 293335 295936 300832 304640 307328 309680 311576 314432 315520 318304 319634 320740 323680 326536 329035 335240 338198 343808 343910 348145 351232 353920 363776 365296 366560 369920 373184 376040 379358 384160 386512 388127 389470 393040 396508 397880 404480 408170 410669 426496 429760 433552 439040 441728 449036 453152 454720 456620 460649 466480 469336 481474 483140 495488 495635 504832 513184 517888 519680 526456 533120 536384 541940 545258 550256 552160 557032 561295 566272 566440 569908 586496 586670 601664 609280 614656 619360 623152 628864 631040 636608 639268 641480 647360 653072 658070 662099 670480 676396 687616 687820 693889 696290 707840 712385 727552 730592 733120 739840 746368 752080 758716 768320 773024 776254 778940 785813 786080 793016 795760 799085 816340 821338 845495 852992 859520 867104 878080 883456 898072 906304 909440 913240 921298 932960 938672 948395 962948 966280 990976 991270 997339 1026368 1035776 1039360 1052912 1066240 1072768 1083880 1090516 1100512 1104320 1114064 1118719 1122590 1132880 1139816 1172992 1173340 1183693 1203328 1203685 1229312 1238720 1246304 1257728 1262080 1273216 1278536 1282960 1294720 1306144 1316140 1324198 1340960 1352792 1363145 1375232 1375640 1387778 1392580 1415680 1424770 1455104 1461184 1466240 1479680 1492736 1504160 1517432 1536640 1546048 1552508 1557880 1571626 1572160 1586032 1591520 1598170 1632680 1642676 1685159 1690990 1719040 1734208 1756160 1766912 1796144 1812608 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20170183936 20605727744 20763424640 21300409760 21893585728 22061138680 23729628160 23939007232 24343325440 25021240832 25212729920 25435195184 25757159680 27024894883 27366982160 28066422272 28163537920 28814548480 29068794496 29820573664 29923759040 30198049280 30885594152 31276551040 31793993980 33221479424 34080655616 34198581760 35083027840 35297821888 35744629760 36335993120 37275717080 38606992690 40094888960 40340367872 41526849280 42600819520 43787171456 44122277360 47878014464 48686650880 50042481664 50425459840 50870390368 51514319360 54049789766 54733964320 56132844544 57629096960 58137588992 59641147328 59847518080 60396098560 61771188304 62553102080 63587987960 68161311232 68397163520 70166055680 70595643776 72671986240 74551434160 77213985380 80680735744 83053698560 85201639040 87574342912 88244554720 95756028928 97373301760 100850919680 101740780736 103028638720 108099579532 109467928640 116275177984 119282294656 119695036160 123542376608 125106204160 127175975920 135124474415 136322622464 140332111360 141191287552 145343972480 149102868320 154427970760 166107397120 170403278080 175148685824 176489109440 201701839360 203481561472 216199159064 218935857280 232550355968 238564589312 239390072320 247084753216 250212408320 254351951840 270248948830 280664222720 282382575104 290687944960 298205736640 308855941520 340806556160 350297371648 352978218880 403403678720 406963122944 432398318128 437871714560 477129178624 478780144640 494169506432 508703903680 540497897660 564765150208 581375889920 596411473280 617711883040 681613112320 705956437760 813926245888 864796636256 875743429120 954258357248 988339012864 1017407807360 1080995795320 1162751779840 1192822946560 1235423766080 1411912875520 1627852491776 1729593272512 1751486858240 1976678025728 2034815614720 2161991590640 2385645893120 2470847532160 2823825751040 3459186545024 3953356051456 4069631229440 4323983181280 4771291786240 4941695064320 6918373090048 8139262458880 8647966362560 9883390128640 13836746180096 17295932725120 19766780257280 27673492360192 34591865450240 69183730900480 138367461800960
- Sum of all divisors σ(n): 430986777696000
- Sum of proper divisors (its aliquot sum) s(n): 292619315895040
- 138367461800960 is an abundant number, because the sum of its proper divisors (292619315895040) is greater than itself. Its abundance is 154251854094080
Bases of 138367461800960
- Binary: 111110111011000001011110110100010111100000000002
- Hexadecimal: 0x7DD82F68BC00
- Base-36: 1D1P4U7PQ8
Squares and roots of 138367461800960
- 138367461800960 squared (1383674618009602) is 19145554485240124766656921600
- 138367461800960 cubed (1383674618009603) is 2649121778894661359783466032969585524736000
-
The
square root of 138367461800960 is 11762969.9396436443 -
The
cube root of 138367461800960 is 51722.3193529889
Scales and comparisons
How big is 138367461800960?- 138,367,461,800,960 seconds is equal to 4,399,657 years, 14 weeks, 6 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 138,367,461,800,960 would take you about ten million, nine hundred ninety-nine thousand, one hundred forty-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 138367461800960 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138367461800960
- 138367461800960 backwards is 069008164763831
- The number of decimal digits it has is: 15
- The sum of 138367461800960's digits is 62
- More coming soon!
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"Number 138367461800960 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138367461800960 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138367461800960/
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The information we have on file for 138367461800960 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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