138684909440
138,684,909,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138684909440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138684909440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138684909440:
27 × 5 × 7 × 11 × 19 × 73 × 2029
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 19 × 73 × 2029)See below for interesting mathematical facts about the number 138684909440 from the Numbermatics database.
Names of 138684909440
- Cardinal: 138684909440 can be written as One hundred thirty-eight billion, six hundred eighty-four million, nine hundred nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3868490944 × 1011
Factors of 138684909440
Divisors of 138684909440
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 28 32 35 38 40 44 55 56 64 70 73 76 77 80 88 95 110 112 128 133 140 146 152 154 160 176 190 209 220 224 266 280 292 304 308 320 352 365 380 385 418 440 448 511 532 560 584 608 616 640 665 704 730 760 770 803 836 880 896 1022 1045 1064 1120 1168 1216 1232 1330 1387 1408 1460 1463 1520 1540 1606 1672 1760 2029 2044 2090 2128 2240 2336 2432 2464 2555 2660 2774 2920 2926 3040 3080 3212 3344 3520 4015 4058 4088 4180 4256 4480 4672 4928 5110 5320 5548 5621 5840 5852 6080 6160 6424 6688 6935 7040 7315 8030 8116 8176 8360 8512 9344 9709 9856 10145 10220 10640 11096 11242 11680 11704 12160 12320 12848 13376 13870 14203 14630 15257 16060 16232 16352 16720 17024 19418 20290 20440 21280 22192 22319 22484 23360 23408 24640 25696 26752 27740 28105 28406 29260 30514 32120 32464 32704 33440 38551 38836 40580 40880 42560 44384 44638 44968 46720 46816 48545 49280 51392 55480 56210 56812 58520 61028 64240 64928 65408 66880 71015 76285 77102 77672 81160 81760 85120 88768 89276 89936 93632 97090 102784 106799 110960 111595 112420 113624 117040 122056 128480 129856 133760 142030 148117 152570 154204 155344 156233 162320 163520 177536 178552 179872 187264 192755 194180 213598 221920 223190 224840 227248 234080 244112 256960 259712 269857 284060 296234 305140 308408 310688 312466 324640 327040 357104 359744 385510 388360 424061 427196 443840 446380 449680 454496 468160 488224 513920 533995 539714 568120 592468 610280 616816 621376 624932 649280 714208 719488 740585 771020 776720 781165 848122 854392 887680 892760 899360 908992 936320 976448 1036819 1067990 1079428 1136240 1184936 1220560 1233632 1242752 1249864 1298560 1349285 1428416 1481170 1542040 1553440 1562330 1629287 1696244 1708784 1785520 1798720 1817984 1952896 2073638 2120305 2135980 2158856 2272480 2369872 2441120 2467264 2499728 2698570 2814223 2856832 2962340 2968427 3084080 3106880 3124660 3258574 3392488 3417568 3571040 3597440 4147276 4240610 4271960 4317712 4544960 4739744 4882240 4934528 4999456 5184095 5397140 5628446 5924680 5936854 6168160 6213760 6249320 6517148 6784976 6835136 7142080 8146435 8294552 8481220 8543920 8635424 9089920 9479488 9764480 9998912 10368190 10794280 11256892 11405009 11849360 11873708 12336320 12498640 13034296 13569952 13670272 14071115 14284160 14842135 16292870 16589104 16962440 17087840 17270848 18958976 19699561 19997824 20736380 21588560 22513784 22810018 23698720 23747416 24672640 24997280 26068592 27139904 28142230 29684270 30956453 32585740 33178208 33924880 34175680 34541696 39399122 41472760 43177120 45027568 45620036 47397440 47494832 49994560 52137184 54279808 56284460 57025045 59368540 61912906 65171480 66356416 67849760 68351360 78798244 82945520 86354240 90055136 91240072 94794880 94989664 98497805 99989120 104274368 112568920 114050090 118737080 123825812 130342960 132712832 135699520 154782265 157596488 165891040 172708480 180110272 182480144 189979328 196995610 208548736 216695171 225137840 228100180 237474160 247651624 260685920 271399040 309564530 315192976 331782080 360220544 364960288 379958656 393991220 433390342 450275680 456200360 474948320 495303248 521371840 619129060 630385952 663564160 729920576 787982440 866780684 900551360 912400720 949896640 990606496 1042743680 1083475855 1238258120 1260771904 1459841152 1575964880 1733561368 1801102720 1824801440 1899793280 1981212992 2166951710 2476516240 2521543808 3151929760 3467122736 3649602880 3962425984 4333903420 4953032480 6303859520 6934245472 7299205760 8667806840 9906064960 12607719040 13868490944 17335613680 19812129920 27736981888 34671227360 69342454720 138684909440
- Sum of all divisors σ(n): 441286272000
- Sum of proper divisors (its aliquot sum) s(n): 302601362560
- 138684909440 is an abundant number, because the sum of its proper divisors (302601362560) is greater than itself. Its abundance is 163916453120
Bases of 138684909440
- Binary: 100000010010100100001111000111100000002
- Hexadecimal: 0x204A43C780
- Base-36: 1RPLEWZK
Squares and roots of 138684909440
- 138684909440 squared (1386849094402) is 19233504106381001113600
- 138684909440 cubed (1386849094403) is 2667396775207317265576155152384000
-
The
square root of 138684909440 is 372404.2285474213 -
The
cube root of 138684909440 is 5176.1843548147
Scales and comparisons
How big is 138684909440?- 138,684,909,440 seconds is equal to 4,409 years, 39 weeks, 9 hours, 57 minutes, 20 seconds.
-
To count from 1 to 138,684,909,440 would take you about eight thousand, eight hundred nineteen 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 138684909440 cubic inches would be around 431.3 feet tall.
Recreational maths with 138684909440
- 138684909440 backwards is 044909486831
- 138684909440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138684909440's digits is 56
- More coming soon!
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