138821738964480
138,821,738,964,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138821738964480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138821738964480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138821738964480:
29 × 32 × 5 × 112 × 13 × 19 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 19 × 449 × 449)See below for interesting mathematical facts about the number 138821738964480 from the Numbermatics database.
Names of 138821738964480
- Cardinal: 138821738964480 can be written as One hundred thirty-eight trillion, eight hundred twenty-one billion, seven hundred thirty-eight million, nine hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3882173896448 × 1014
Factors of 138821738964480
Divisors of 138821738964480
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 26 30 32 33 36 38 39 40 44 45 48 52 55 57 60 64 65 66 72 76 78 80 88 90 95 96 99 104 110 114 117 120 121 128 130 132 143 144 152 156 160 165 171 176 180 190 192 195 198 208 209 220 228 234 240 242 247 256 260 264 285 286 288 304 312 320 330 342 352 360 363 380 384 390 396 416 418 429 440 449 456 468 480 484 494 495 512 520 528 570 572 576 585 605 608 624 627 640 660 684 704 715 720 726 741 760 768 780 792 832 836 855 858 880 898 912 936 960 968 988 990 1040 1045 1056 1089 1140 1144 1152 1170 1210 1216 1235 1248 1254 1280 1287 1320 1347 1368 1408 1430 1440 1452 1482 1520 1536 1560 1573 1584 1664 1672 1710 1716 1760 1796 1815 1824 1872 1881 1920 1936 1976 1980 2080 2090 2112 2145 2178 2223 2245 2280 2288 2299 2304 2340 2420 2432 2470 2496 2508 2560 2574 2640 2694 2717 2736 2816 2860 2880 2904 2964 3040 3120 3135 3146 3168 3328 3344 3420 3432 3520 3592 3630 3648 3705 3744 3762 3840 3872 3952 3960 4041 4160 4180 4224 4290 4356 4446 4490 4560 4576 4598 4608 4680 4719 4840 4864 4939 4940 4992 5016 5148 5280 5388 5434 5445 5472 5632 5720 5760 5808 5837 5928 6080 6240 6270 6292 6336 6435 6656 6688 6735 6840 6864 6897 7040 7184 7260 7296 7410 7488 7524 7680 7744 7865 7904 7920 8082 8151 8320 8360 8448 8531 8580 8712 8892 8980 9120 9152 9196 9360 9405 9438 9680 9728 9878 9880 9984 10032 10296 10560 10776 10868 10890 10944 11115 11440 11495 11520 11616 11674 11856 12160 12480 12540 12584 12672 12870 13376 13470 13585 13680 13728 13794 14080 14157 14368 14520 14592 14817 14820 14976 15048 15488 15730 15808 15840 16164 16302 16640 16720 16896 17062 17160 17424 17511 17784 17960 18240 18304 18392 18720 18810 18876 19360 19756 19760 19968 20064 20205 20592 20691 21120 21552 21736 21780 21888 22230 22880 22990 23040 23232 23348 23595 23712 24320 24453 24695 24960 25080 25168 25344 25593 25740 26752 26940 27170 27360 27456 27588 28160 28314 28736 29040 29184 29185 29634 29640 29887 29952 30096 30976 31460 31616 31680 32328 32604 33280 33440 34124 34320 34485 34848 35022 35568 35920 36480 36608 36784 37440 37620 37752 38720 39512 39520 40128 40410 40755 41184 41382 42240 42655 43104 43472 43560 43776 44451 44460 45760 45980 46464 46696 47190 47424 48640 48906 49390 49920 50160 50336 50688 51186 51480 52533 53504 53880 54329 54340 54720 54912 55176 56628 57472 58080 58370 59268 59280 59774 59904 60192 61952 62920 63232 63360 64207 64656 65208 66880 68248 68640 68970 69696 70044 70785 71136 71840 72960 73216 73568 74085 74880 75240 75504 76779 77440 79024 79040 80256 80820 81510 82368 82764 84480 85310 86208 86944 87120 87552 87555 88902 88920 89661 91520 91960 92928 93392 93841 94380 94848 97812 98780 99840 100320 100672 102372 102960 103455 105066 107008 107760 108658 108680 109440 109824 110352 110903 113256 114944 116160 116740 118536 118560 119548 120384 122265 125840 126464 126720 127965 128414 129312 130416 133760 136496 137280 137940 139392 140088 141570 142272 143680 145920 147136 148170 149435 149760 150480 151008 153558 154880 158048 158080 160512 161640 162987 163020 164736 165528 170620 172416 173888 174240 175110 177804 177840 179322 183040 183920 185856 186784 187682 188760 189696 192621 195624 197560 200640 201344 201601 204744 205920 206910 210132 215520 217316 217360 218880 219648 220704 221806 222255 226512 229888 232320 233480 237072 237120 239096 240768 244530 251680 253440 255930 256828 258624 260832 262665 267520 268983 271645 272992 274560 275880 278784 280176 281523 283140 284544 287360 294272 296340 298870 299520 300960 302016 307116 309760 316096 316160 321024 321035 323280 325974 326040 329472 331056 332709 341240 344832 347776 348480 350220 355608 355680 358644 366080 367840 373568 375364 377520 379392 383895 385242 391248 395120 401280 402688 403202 409488 411840 413820 420264 431040 434632 434720 437760 441408 443612 444510 448305 453024 464640 466960 469205 474144 474240 478192 481536 488961 489060 503360 511860 513656 517248 521664 525330 535040 537966 543290 545984 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1928079707840 2103359681280 2135719060992 2169089671320 2313695649408 2435469104640 2524031617536 2669648826240 2892119561760 3084927532544 3155039521920 3470543474112 3559531768320 3653203656960 3856159415680 4206719362560 4338179342640 4627391298816 5339297652480 5784239123520 6310079043840 6941086948224 7306407313920 7712318831360 8676358685280 9254782597632 10678595304960 11568478247040 12620158087680 13882173896448 15424637662720 17352717370560 23136956494080 27764347792896 34705434741120 46273912988160 69410869482240 138821738964480
- Sum of all divisors σ(n): 600400317076560
- Sum of proper divisors (its aliquot sum) s(n): 461578578112080
- 138821738964480 is an abundant number, because the sum of its proper divisors (461578578112080) is greater than itself. Its abundance is 322756839147600
Bases of 138821738964480
- Binary: 111111001000001111101000111000000100110000000002
- Hexadecimal: 0x7E41F4702600
- Base-36: 1D7HTR3WG0
Squares and roots of 138821738964480
- 138821738964480 squared (1388217389644802) is 19271475209122224662701670400
- 138821738964480 cubed (1388217389644803) is 2675299700941213091796912903113662267392000
-
The
square root of 138821738964480 is 11782263.7453283993 -
The
cube root of 138821738964480 is 51778.8610700445
Scales and comparisons
How big is 138821738964480?- 138,821,738,964,480 seconds is equal to 4,414,101 years, 46 weeks, 3 days, 20 hours, 48 minutes.
-
To count from 1 to 138,821,738,964,480 would take you about eleven million, thirty-five thousand, two hundred fifty-four 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 138821738964480 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138821738964480
- 138821738964480 backwards is 084469837128831
- 138821738964480 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138821738964480's digits is 72
- More coming soon!
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"Number 138821738964480 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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The information we have on file for 138821738964480 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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