138157428362334400
138,157,428,362,334,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138157428362334400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
138157428362334400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138157428362334400:
26 × 52 × 193 × 292 × 532 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 19 × 29 × 29 × 53 × 53 × 73 × 73)See below for interesting mathematical facts about the number 138157428362334400 from the Numbermatics database.
Names of 138157428362334400
- Cardinal: 138157428362334400 can be written as One hundred thirty-eight quadrillion, one hundred fifty-seven trillion, four hundred twenty-eight billion, three hundred sixty-two million, three hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.381574283623344 × 1017
Factors of 138157428362334400
Divisors of 138157428362334400
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 29 32 38 40 50 53 58 64 73 76 80 95 100 106 116 145 146 152 160 190 200 212 232 265 290 292 304 320 361 365 380 400 424 464 475 530 551 580 584 608 722 725 730 760 800 841 848 928 950 1007 1060 1102 1160 1168 1216 1325 1387 1444 1450 1460 1520 1537 1600 1682 1696 1805 1825 1856 1900 2014 2117 2120 2204 2320 2336 2650 2755 2774 2809 2888 2900 2920 3040 3074 3364 3392 3610 3650 3800 3869 4028 4205 4234 4240 4408 4640 4672 5035 5300 5329 5510 5548 5618 5776 5800 5840 6080 6148 6728 6859 6935 7220 7300 7600 7685 7738 8056 8410 8468 8480 8816 9025 9280 10070 10469 10585 10600 10658 11020 11096 11236 11552 11600 11680 12296 13456 13718 13775 13870 14045 14440 14600 15200 15370 15476 15979 16112 16820 16936 16960 17632 18050 19133 19345 20140 20938 21025 21170 21200 21316 22040 22192 22472 23104 23200 23360 24592 25175 26353 26645 26912 27436 27550 27740 28090 28880 29200 29203 30400 30740 30952 31958 32224 33640 33872 34295 34675 35264 36100 38266 38425 38690 40223 40280 41876 42050 42340 42400 42632 44080 44384 44573 44944 46400 49184 50350 52345 52706 52925 53290 53371 53824 54872 55100 55480 56180 57760 58400 58406 61393 61480 61904 63916 64448 67280 67744 68590 69350 70225 72200 73511 76532 76850 77380 79895 80446 80560 81461 83752 84100 84680 84800 85264 88160 88768 89146 89888 95665 96725 98368 100700 101251 104690 105412 105850 106580 106742 109744 110200 110960 112201 112360 115520 116800 116812 122786 122960 123808 127832 131765 133225 134560 135488 137180 138700 140450 144400 146015 147022 153064 153700 154541 154760 159790 160892 161120 162922 167504 168200 169360 170528 171475 176320 178292 179776 191330 193450 198911 201115 201400 202502 205057 209380 210824 211700 213160 213484 219488 220400 221920 222865 224402 224720 233624 245572 245920 247616 255664 261725 263530 266450 266855 269120 274360 277400 280900 282437 288800 292030 294044 303601 306128 306965 307400 309082 309520 319580 321784 322240 325844 335008 336400 338720 341056 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4731418779532 4783844472380 4918384776160 4980440820560 5014788688288 5035625760400 5133673764950 5185116470720 5242569284800 5487881960768 5617982610700 5914273474415 5955061567342 5979805590475 6147980970200 6225551025700 6268485860360 6481395588400 6516859828412 6526094868320 6571102419136 6598406168800 6859852450960 7141764195520 7220897316800 7654151155808 7835607325450 8146074785515 8157618585400 8213878023920 8574815563700 8646187393600 8927205244400 8988772177120 9089304497522 9462837559064 9567688944760 9836769552320 9960881641120 10029577376576 10071251520800 10267347529900 11235965221400 11828546948830 11910123134684 11959611180950 12295961940400 12451102051400 12536971720720 12962791176800 13033719656824 13052189736640 13196812337600 13719704901920 14887653918355 15308302311616 15671214650900 16292149571030 16315237170800 16427756047840 17149631127400 17854410488800 17977544354240 18178608995044 18925675118128 19135377889520 19921763282240 20142503041600 20534695059800 22471930442800 22723261243805 23657093897660 23820246269368 23919222361900 24591923880800 24902204102800 25073943441440 25925582353600 26067439313648 27439409803840 29571367372075 29775307836710 31342429301800 32584299142060 32630474341600 32855512095680 34299262254800 35708820977600 36357217990088 37851350236256 38270755779040 40730373927575 41069390119600 44943860885600 45446522487610 47314187795320 47640492538736 47838444723800 49183847761600 49804408205600 50147886882880 52134878627296 59142734744150 59550615673420 62684858603600 65168598284120 65260948683200 68598524509600 72714435980176 74438269591775 75702700472512 76541511558080 81460747855150 82138780239200 86348392726459 89887721771200 90893044975220 94628375590640 95280985077472 95676889447600 99608816411200 104269757254592 113616306219025 118285469488300 119101231346840 125369717207200 130337196568240 137197049019200 145428871960352 148876539183550 162921495710300 164277560478400 172696785452918 181786089950440 189256751181280 190561970154944 191353778895200 227232612438050 236570938976600 238202462693680 250739434414400 260674393136480 290857743920704 297753078367100 325842991420600 345393570905836 363572179900880 378513502362560 382707557790400 431741963632295 454465224876100 473141877953200 476404925387360 521348786272960 595506156734200 651685982841200 690787141811672 727144359801760 863483927264590 908930449752200 946283755906400 952809850774720 1191012313468400 1303371965682400 1381574283623344 1454288719603520 1726967854529180 1817860899504400 1892567511812800 2158709818161475 2382024626936800 2606743931364800 2763148567246688 3453935709058360 3635721799008800 4317419636322950 4764049253873600 5526297134493376 6907871418116720 7271443598017600 8634839272645900 13815742836233440 17269678545291800 27631485672466880 34539357090583600 69078714181167200 138157428362334400
- Sum of all divisors σ(n): 384041760204549720
- Sum of proper divisors (its aliquot sum) s(n): 245884331842215320
- 138157428362334400 is an abundant number, because the sum of its proper divisors (245884331842215320) is greater than itself. Its abundance is 107726903479880920
Bases of 138157428362334400
- Binary: 1111010101101010101110010111110001001111001010000110000002
- Hexadecimal: 0x1EAD572F89E50C0
- Base-36: 11SCPYE7UAPS
Squares and roots of 138157428362334400
- 138157428362334400 squared (1381574283623344002) is 19087475011693561691132617423360000
- 138157428362334400 cubed (1381574283623344003) is 2637076461545901213283192489338926972602691584000000
-
The
square root of 138157428362334400 is 371695343.4767974061 -
The
cube root of 138157428362334400 is 516961.3564921011
Scales and comparisons
How big is 138157428362334400?- 138,157,428,362,334,400 seconds is equal to 4,392,978,872 years, 48 weeks, 5 days, 5 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,157,428,362,334,400 would take you about thirteen billion, one hundred seventy-eight million, nine hundred thirty-six thousand, six hundred eighteen 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 138157428362334400 cubic inches would be around 43080.1 feet tall.
Recreational maths with 138157428362334400
- 138157428362334400 backwards is 004433263824751831
- 138157428362334400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138157428362334400's digits is 64
- More coming soon!
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"Number 138157428362334400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138157428362334400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138157428362334400/
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The information we have on file for 138157428362334400 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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