138745438920
138,745,438,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138745438920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138745438920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138745438920:
23 × 33 × 5 × 112 × 29 × 31 × 1181
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 29 × 31 × 1181)See below for interesting mathematical facts about the number 138745438920 from the Numbermatics database.
Names of 138745438920
- Cardinal: 138745438920 can be written as One hundred thirty-eight billion, seven hundred forty-five million, four hundred thirty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3874543892 × 1011
Factors of 138745438920
Divisors of 138745438920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 31 33 36 40 44 45 54 55 58 60 62 66 72 87 88 90 93 99 108 110 116 120 121 124 132 135 145 155 165 174 180 186 198 216 220 232 242 248 261 264 270 279 290 297 310 319 330 341 348 360 363 372 396 435 440 465 484 495 522 540 558 580 594 605 620 638 660 682 696 726 744 783 792 837 870 899 930 957 968 990 1023 1044 1080 1089 1116 1160 1181 1188 1210 1240 1276 1305 1320 1364 1395 1452 1485 1566 1595 1674 1705 1740 1798 1815 1860 1914 1980 2046 2088 2178 2232 2362 2376 2420 2552 2610 2697 2728 2790 2871 2904 2970 3069 3132 3190 3267 3348 3410 3480 3509 3543 3596 3630 3720 3751 3828 3915 3960 4092 4185 4356 4495 4724 4785 4840 5115 5220 5394 5445 5580 5742 5905 5940 6138 6264 6380 6534 6696 6820 7018 7086 7192 7260 7502 7656 7830 8091 8184 8370 8613 8712 8990 9207 9448 9570 9889 10230 10440 10527 10629 10788 10890 11160 11253 11484 11810 11880 12276 12760 12991 13068 13485 13640 14036 14172 14355 14520 15004 15345 15660 16182 16335 16740 17226 17545 17715 17980 18414 18755 19140 19778 20460 21054 21258 21576 21780 22506 22968 23620 24273 24552 25982 26136 26970 28072 28344 28710 29667 30008 30690 31320 31581 31887 32364 32670 33480 33759 34249 34452 35090 35430 35960 36611 36828 37510 38280 38973 39556 40455 40920 42108 42516 43065 43560 45012 46035 47240 48546 49445 51964 52635 53145 53940 56265 57420 59334 61380 63162 63774 64728 64955 65340 67518 68498 68904 70180 70860 73222 73656 75020 77946 79112 80910 84216 85032 86130 89001 90024 92070 94743 97092 98890 101277 102747 103928 105270 106290 107880 108779 109833 112530 114840 116919 118668 121365 122760 126324 127548 129910 130680 135036 136996 140360 141720 142901 146444 148335 150040 155892 157905 159435 161820 168795 171245 172260 178002 183055 184140 189486 194184 194865 197780 202554 205494 210540 212580 217558 219666 225060 233838 237336 242730 252648 255096 259820 267003 270072 273992 285802 292888 296670 308241 311784 315810 318870 323640 326337 329499 337590 342490 344520 350757 356004 366110 368280 376739 378972 389730 395560 402721 405108 410988 421080 425160 428703 435116 439332 445005 450120 467676 473715 485460 506385 513735 519640 534006 543895 549165 571604 584595 593340 616482 631620 637740 652674 658998 675180 684980 701514 712008 714505 732220 753478 757944 779460 805442 810216 821976 857406 870232 878664 890010 924723 935352 947430 970920 979011 988497 1012770 1027470 1061719 1068012 1087790 1098330 1130217 1143208 1169190 1186680 1208163 1232964 1263240 1275480 1286109 1305348 1317996 1335015 1350360 1369960 1403028 1429010 1464440 1506956 1541205 1558920 1610884 1631685 1647495 1714812 1753785 1780020 1849446 1883695 1894860 1958022 1976994 2013605 2025540 2054940 2123438 2136024 2143515 2175580 2196660 2260434 2338380 2416326 2465928 2572218 2610696 2635992 2670030 2806056 2858020 2937033 3013912 3082410 3185157 3221768 3263370 3294990 3390651 3429624 3507570 3560040 3624489 3698892 3767390 3789720 3858327 3916044 3953988 4027210 4051080 4109880 4144129 4246876 4287030 4351160 4393320 4429931 4520868 4623615 4676760 4832652 4895055 4942485 5144436 5308595 5340060 5651085 5716040 5874066 6040815 6164820 6370314 6430545 6526740 6589980 6781302 7015140 7248978 7397784 7534780 7716654 7832088 7907976 8054420 8288258 8493752 8574060 8859862 9041736 9247230 9555471 9665304 9790110 9884970 10171953 10288872 10617190 10680120 10873467 11302170 11678909 11748132 12081630 12329640 12432387 12740628 12861090 13053480 13179960 13289793 13562604 14030280 14497956 14685165 15069560 15433308 15925785 16108840 16576516 16953255 17148120 17719724 18122445 18494460 19110942 19291635 19580220 19769940 20343906 20720645 21234380 21746934 22149655 22604340 23357818 23496264 24163260 24864774 25481256 25722180 26579586 27125208 28666413 28995912 29370330 30866616 31851570 33153032 33906510 35036727 35439448 36244890 36988920 37297161 38221884 38583270 39160440 39539880 39869379 40687812 41441290 42468760 43493868 44299310 45208680 46715636 47777355 48326520 49729548 50859765 51444360 53159172 54367335 57332826 58394545 58740660 62161935 63703140 66448965 67813020 70073454 72489780 74594322 76443768 77166540 79738758 81375624 82882580 86987736 88598620 93431272 95554710 99459096 101719530 105110181 106318344 108734670 111891483 114665652 116789090 117481320 119608137 124323870 127406280 128467999 132897930 135626040 140146908 143332065 144979560 149188644 154333080 159477516 165765160 175183635 177197240 186485805 191109420 199346895 203439060 210220362 217469340 223782966 229331304 233578180 239216274 248647740 256935998 265795860 280293816 286664130 298377288 315330543 318955032 350367270 372971610 382218840 385403997 398693790 406878120 420440724 434938680 447565932 467156360 478432548 497295480 513871996 525550905 531591720 559457415 573328260 598040685 630661086 642339995 700734540 745943220 770807994 797387580 840881448 895131864 956865096 1027743992 1051101810 1118914830 1146656520 1156211991 1196081370 1261322172 1284679990 1401469080 1491886440 1541615988 1576652715 1594775160 1927019985 2102203620 2237829660 2312423982 2392162740 2522644344 2569359980 3083231976 3153305430 3468635973 3854039970 4204407240 4475659320 4624847964 4784325480 5138719960 5781059955 6306610860 6937271946 7708079940 9249695928 11562119910 12613221720 13874543892 15416159880 17343179865 23124239820 27749087784 34686359730 46248479640 69372719460 138745438920
- Sum of all divisors σ(n): 543303936000
- Sum of proper divisors (its aliquot sum) s(n): 404558497080
- 138745438920 is an abundant number, because the sum of its proper divisors (404558497080) is greater than itself. Its abundance is 265813058160
Bases of 138745438920
- Binary: 100000010011011101111101100010110010002
- Hexadecimal: 0x204DDF62C8
- Base-36: 1RQLG9U0
Squares and roots of 138745438920
- 138745438920 squared (1387454389202) is 19250296821103450766400
- 138745438920 cubed (1387454389203) is 2670890881784278995310778388288000
-
The
square root of 138745438920 is 372485.4882005473 -
The
cube root of 138745438920 is 5176.9372994519
Scales and comparisons
How big is 138745438920?- 138,745,438,920 seconds is equal to 4,411 years, 35 weeks, 23 hours, 42 minutes.
-
To count from 1 to 138,745,438,920 would take you about eight thousand, eight hundred twenty-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 138745438920 cubic inches would be around 431.4 feet tall.
Recreational maths with 138745438920
- 138745438920 backwards is 029834547831
- 138745438920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138745438920's digits is 54
- More coming soon!
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The information we have on file for 138745438920 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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