138077163924480
138,077,163,924,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138077163924480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
138077163924480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138077163924480:
210 × 33 × 5 × 11 × 19 × 312 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 31 × 31 × 4973)See below for interesting mathematical facts about the number 138077163924480 from the Numbermatics database.
Names of 138077163924480
- Cardinal: 138077163924480 can be written as One hundred thirty-eight trillion, seventy-seven billion, one hundred sixty-three million, nine hundred twenty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3807716392448 × 1014
Factors of 138077163924480
Divisors of 138077163924480
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 31 32 33 36 38 40 44 45 48 54 55 57 60 62 64 66 72 76 80 88 90 93 95 96 99 108 110 114 120 124 128 132 135 144 152 155 160 165 171 176 180 186 190 192 198 209 216 220 228 240 248 256 264 270 279 285 288 297 304 310 320 330 341 342 352 360 372 380 384 396 418 432 440 456 465 480 495 496 512 513 528 540 558 570 576 589 594 608 620 627 640 660 682 684 704 720 744 760 768 792 836 837 855 864 880 912 930 960 961 990 992 1023 1024 1026 1045 1056 1080 1116 1140 1152 1178 1188 1216 1240 1254 1280 1320 1364 1368 1395 1408 1440 1485 1488 1520 1536 1584 1672 1674 1705 1710 1728 1760 1767 1824 1860 1881 1920 1922 1980 1984 2046 2052 2090 2112 2160 2232 2280 2304 2356 2376 2432 2480 2508 2560 2565 2640 2728 2736 2790 2816 2880 2883 2945 2970 2976 3040 3069 3072 3135 3168 3344 3348 3410 3420 3456 3520 3534 3648 3720 3762 3840 3844 3960 3968 4092 4104 4180 4185 4224 4320 4464 4560 4608 4712 4752 4805 4864 4960 4973 5016 5115 5120 5130 5280 5301 5456 5472 5580 5632 5643 5760 5766 5890 5940 5952 6080 6138 6270 6336 6479 6688 6696 6820 6840 6912 7040 7068 7296 7440 7524 7680 7688 7920 7936 8184 8208 8360 8370 8448 8640 8649 8835 8928 9120 9207 9216 9405 9424 9504 9610 9728 9920 9946 10032 10230 10260 10560 10571 10602 10912 10944 11160 11264 11286 11520 11532 11780 11880 11904 12160 12276 12540 12672 12958 13376 13392 13640 13680 13824 14080 14136 14415 14592 14880 14919 15048 15345 15360 15376 15840 15872 15903 16368 16416 16720 16740 16896 17280 17298 17670 17856 18240 18259 18414 18810 18848 19008 19220 19437 19456 19840 19892 20064 20460 20520 21120 21142 21204 21824 21888 22320 22572 23040 23064 23560 23760 23808 24320 24552 24865 25080 25344 25916 25947 26505 26752 26784 27280 27360 27648 28160 28215 28272 28830 29184 29760 29838 30096 30690 30752 31680 31713 31744 31806 32395 32736 32832 33440 33480 33792 34560 34596 35340 35712 36480 36518 36828 37620 37696 38016 38440 38874 39680 39784 40128 40920 41040 42240 42284 42408 43245 43648 43776 44640 44757 45144 46035 46080 46128 47120 47520 47616 48640 49104 49730 50160 50688 51832 51894 52855 53010 53504 53568 54560 54703 54720 54777 56320 56430 56544 57660 58311 58368 59520 59676 60192 61380 61504 63360 63426 63612 64790 65472 65664 66880 66960 69120 69192 70680 71424 72960 73036 73656 74595 75240 75392 76032 76880 77748 79360 79515 79568 80256 81840 82080 84480 84568 84816 86490 87296 87552 89280 89514 90288 91295 92070 92256 94240 94487 95040 95139 95232 97185 97280 98208 99460 100320 101376 103664 103788 105710 106020 107008 107136 109120 109406 109440 109554 112860 113088 115320 116622 119040 119352 120384 122760 123008 126720 126852 127224 129580 129735 130944 131328 133760 133920 134271 138240 138384 141360 142848 145920 146072 147312 149190 150480 150784 152064 153760 154163 155496 158565 158720 159030 159136 160512 163680 164109 164160 164331 168960 169136 169632 172980 174592 174933 175104 178560 179028 180576 182590 184140 184512 188480 188974 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418415648256 431491137264 445410206208 454201197120 464906275840 479434596960 484481276928 494900229120 511396903424 523019560320 539363921580 556762757760 575321516352 605601596160 627623472384 639246129280 660656286720 697359413760 719151895440 726721915392 742350343680 767095355136 784529340480 807468794880 836831296512 862982274528 890820412416 908402394240 958869193920 1022793806848 1046039120640 1078727843160 1113525515520 1150643032704 1211203192320 1255246944768 1278492258560 1394718827520 1438303790880 1453443830784 1484700687360 1534190710272 1569058680960 1725964549056 1816804788480 1917738387840 2092078241280 2157455686320 2227051031040 2301286065408 2422406384640 2510493889536 2556984517120 2876607581760 3068381420544 3138117361920 3451929098112 3633609576960 3835476775680 4184156482560 4314911372640 4454102062080 4602572130816 5113969034240 5753215163520 6276234723840 6903858196224 7267219153920 7670953551360 8629822745280 9205144261632 11506430327040 12552469447680 13807716392448 15341907102720 17259645490560 23012860654080 27615432784896 34519290981120 46025721308160 69038581962240 138077163924480
- Sum of all divisors σ(n): 582365119910400
- Sum of proper divisors (its aliquot sum) s(n): 444287955985920
- 138077163924480 is an abundant number, because the sum of its proper divisors (444287955985920) is greater than itself. Its abundance is 306210792061440
Bases of 138077163924480
- Binary: 111110110010100100110000100111010101100000000002
- Hexadecimal: 0x7D94984EAC00
- Base-36: 1CXZRUCQO0
Squares and roots of 138077163924480
- 138077163924480 squared (1380771639244802) is 19065303197427721155143270400
- 138077163924480 cubed (1380771639244803) is 2632482994861140134615245288880725819392000
-
The
square root of 138077163924480 is 11750623.9802182421 -
The
cube root of 138077163924480 is 51686.1225187343
Scales and comparisons
How big is 138077163924480?- 138,077,163,924,480 seconds is equal to 4,390,426 years, 37 weeks, 4 hours, 48 minutes.
-
To count from 1 to 138,077,163,924,480 would take you about ten million, nine hundred seventy-six thousand and sixty-six 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 138077163924480 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138077163924480
- 138077163924480 backwards is 084429361770831
- The number of decimal digits it has is: 15
- The sum of 138077163924480's digits is 63
- More coming soon!
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"Number 138077163924480 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 138077163924480 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138077163924480/
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Numbermatics. 2024. "Number 138077163924480 - Facts about the integer". https://numbermatics.com/n/138077163924480/
The information we have on file for 138077163924480 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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