138444954410680320
138,444,954,410,680,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 138444954410680320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138444954410680320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138444954410680320:
219 × 3 × 5 × 13 × 592 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 59 × 59 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138444954410680320 from the Numbermatics database.
Names of 138444954410680320
- Cardinal: 138444954410680320 can be written as One hundred thirty-eight quadrillion, four hundred forty-four trillion, nine hundred fifty-four billion, four hundred ten million, six hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3844495441068032 × 1017
Factors of 138444954410680320
Divisors of 138444954410680320
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 59 60 64 65 73 78 80 96 104 118 120 128 130 146 156 160 177 192 195 208 219 236 240 256 260 292 295 312 320 354 365 384 390 416 438 472 480 512 520 584 590 624 640 708 730 767 768 780 832 876 885 944 949 960 1024 1040 1095 1168 1180 1248 1280 1416 1460 1534 1536 1560 1664 1752 1770 1888 1898 1920 2048 2080 2190 2301 2336 2360 2496 2560 2832 2847 2920 3068 3072 3120 3328 3481 3504 3540 3776 3796 3835 3840 4096 4160 4307 4380 4602 4672 4720 4745 4992 5120 5329 5664 5694 5840 6136 6144 6240 6656 6962 7008 7080 7552 7592 7670 7680 8192 8320 8614 8760 9204 9344 9440 9490 9984 10240 10443 10658 11328 11388 11505 11680 12272 12288 12480 12921 13312 13924 14016 14160 14235 15104 15184 15340 15360 15987 16384 16640 17228 17405 17520 18408 18688 18880 18980 19968 20480 20886 21316 21535 22656 22776 23010 23360 24544 24576 24960 25842 26624 26645 27848 28032 28320 28470 30208 30368 30680 30720 31974 32768 33280 34456 34810 35040 36816 37376 37760 37960 39936 40960 41772 42632 43070 45253 45312 45552 46020 46720 49088 49152 49920 51684 52215 53248 53290 55696 55991 56064 56640 56940 60416 60736 61360 61440 63948 64605 65536 66560 68912 69277 69620 70080 73632 74752 75520 75920 79872 79935 81920 83544 85264 86140 90506 90624 91104 92040 93440 98176 98304 99840 103368 104430 106496 106580 111392 111982 112128 113280 113880 120832 121472 122720 122880 127896 129210 131072 133120 135759 137824 138554 139240 140160 147264 149504 151040 151840 159744 159870 163840 167088 167973 170528 172280 181012 181248 182208 184080 186880 196352 196608 199680 206736 207831 208860 212992 213160 222784 223964 224256 226265 226560 227760 241664 242944 245440 245760 254113 255792 258420 262144 266240 271518 275648 277108 278480 279955 280320 294528 299008 302080 303680 314411 319488 319740 327680 334176 335946 341056 344560 346385 362024 362496 364416 368160 373760 389017 392704 393216 399360 413472 415662 417720 425984 426320 445568 447928 448512 452530 453120 455520 483328 485888 490880 491520 508226 511584 516840 524288 532480 543036 551296 554216 556960 559910 560640 589056 598016 604160 607360 628822 638976 639480 655360 668352 671892 678795 682112 689120 692770 724048 724992 728832 736320 747520 762339 778034 785408 786432 798720 826944 831324 835440 839865 851968 852640 891136 895856 897024 905060 906240 911040 943233 966656 971776 981760 983040 1016452 1023168 1033680 1039155 1064960 1086072 1102592 1108432 1113920 1119820 1121280 1167051 1178112 1196032 1208320 1214720 1257644 1270565 1277952 1278960 1310720 1336704 1343784 1357590 1364224 1378240 1385540 1448096 1449984 1457664 1472640 1495040 1524678 1556068 1570816 1572055 1572864 1597440 1653888 1662648 1670880 1679730 1703936 1705280 1782272 1791712 1794048 1810120 1812480 1822080 1886466 1933312 1943552 1945085 1963520 1966080 2032904 2046336 2067360 2078310 2129920 2172144 2205184 2216864 2227840 2239640 2242560 2334102 2356224 2392064 2416640 2429440 2515288 2541130 2555904 2557920 2621440 2673408 2687568 2715180 2728448 2756480 2771080 2896192 2899968 2915328 2945280 2990080 3049356 3112136 3141632 3144110 3194880 3303469 3307776 3325296 3341760 3359460 3407872 3410560 3564544 3583424 3588096 3620240 3624960 3644160 3772932 3811695 3866624 3887104 3890170 3927040 3932160 4065808 4087343 4092672 4134720 4156620 4259840 4344288 4410368 4433728 4455680 4479280 4485120 4668204 4712448 4716165 4784128 4833280 4858880 5030576 5057221 5082260 5111808 5115840 5346816 5375136 5430360 5456896 5512960 5542160 5792384 5799936 5830656 5835255 5890560 5980160 6098712 6224272 6283264 6288220 6389760 6606938 6615552 6650592 6683520 6718920 6815744 6821120 7129088 7166848 7176192 7240480 7249920 7288320 7545864 7623390 7733248 7774208 7780340 7854080 7864320 8131616 8174686 8185344 8269440 8313240 8519680 8688576 8820736 8867456 8911360 8958560 8970240 9336408 9424896 9432330 9568256 9666560 9717760 9910407 10061152 10114442 10164520 10223616 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94825311240192 97771860459520 108160120633344 110933457059840 117326232551424 118531639050240 126433748320256 133120148471808 135200150791680 144213494177792 145885094215680 146657790689280 156434976735232 158042185400320 166400185589760 177493531295744 180266867722240 180501896232960 189650622480384 195543720919040 216320241266688 221866914119680 234652465102848 237063278100480 266240296943616 270400301583360 288426988355584 293315581378560 316084370800640 332800371179520 354987062591488 360533735444480 379301244960768 391087441838080 432640482533376 443733828239360 469304930205696 474126556200960 532480593887232 540800603166720 576853976711168 586631162757120 632168741601280 665600742359040 709974125182976 721067470888960 782174883676160 865280965066752 887467656478720 948253112401920 1064961187774464 1081601206333440 1153707953422336 1173262325514240 1331201484718080 1442134941777920 1730561930133504 1774935312957440 1896506224803840 2129922375548928 2163202412666880 2307415906844672 2346524651028480 2662402969436160 2884269883555840 3461123860267008 3549870625914880 4326404825333760 4614831813689344 5324805938872320 5768539767111680 6922247720534016 8652809650667520 9229663627378688 10649611877744640 11537079534223360 13844495441068032 17305619301335040 23074159068446720 27688990882136064 34611238602670080 46148318136893440 69222477205340160 138444954410680320
- Sum of all divisors σ(n): 492066310599864000
- Sum of proper divisors (its aliquot sum) s(n): 353621356189183680
- 138444954410680320 is an abundant number, because the sum of its proper divisors (353621356189183680) is greater than itself. Its abundance is 215176401778503360
Bases of 138444954410680320
- Binary: 1111010111101101011110011110110001001100000000000000000002
- Hexadecimal: 0x1EBDAF3D8980000
- Base-36: 11V6N21DBO5C
Squares and roots of 138444954410680320
- 138444954410680320 squared (1384449544106803202) is 19167005401775352190868885235302400
- 138444954410680320 cubed (1384449544106803203) is 2653575189038052064241472242291454810566864928768000
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The
square root of 138444954410680320 is 372081918.9515667933 -
The
cube root of 138444954410680320 is 517319.7323510787
Scales and comparisons
How big is 138444954410680320?- 138,444,954,410,680,320 seconds is equal to 4,402,121,311 years, 46 weeks, 5 days, 32 minutes.
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To count from 1 to 138,444,954,410,680,320 would take you about thirteen billion, two hundred six million, three hundred sixty-three thousand, nine hundred thirty-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 138444954410680320 cubic inches would be around 43110 feet tall.
Recreational maths with 138444954410680320
- 138444954410680320 backwards is 023086014459444831
- The number of decimal digits it has is: 18
- The sum of 138444954410680320's digits is 66
- More coming soon!
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The information we have on file for 138444954410680320 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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