142038961878016000
142,038,961,878,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 142038961878016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
142038961878016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 142038961878016000:
213 × 53 × 7 × 17 × 37 × 1613 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 37 × 1613 × 19531)See below for interesting mathematical facts about the number 142038961878016000 from the Numbermatics database.
Names of 142038961878016000
- Cardinal: 142038961878016000 can be written as One hundred forty-two quadrillion, thirty-eight trillion, nine hundred sixty-one billion, eight hundred seventy-eight million, sixteen thousand.
Scientific notation
- Scientific notation: 1.42038961878016 × 1017
Factors of 142038961878016000
Divisors of 142038961878016000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 50 56 64 68 70 74 80 85 100 112 119 125 128 136 140 148 160 170 175 185 200 224 238 250 256 259 272 280 296 320 340 350 370 400 425 448 476 500 512 518 544 560 592 595 629 640 680 700 740 800 850 875 896 925 952 1000 1024 1036 1088 1120 1184 1190 1258 1280 1295 1360 1400 1480 1600 1613 1700 1750 1792 1850 1904 2000 2048 2072 2125 2176 2240 2368 2380 2516 2560 2590 2720 2800 2960 2975 3145 3200 3226 3400 3500 3584 3700 3808 4000 4096 4144 4250 4352 4403 4480 4625 4736 4760 5032 5120 5180 5440 5600 5920 5950 6290 6400 6452 6475 6800 7000 7168 7400 7616 8000 8065 8192 8288 8500 8704 8806 8960 9250 9472 9520 10064 10240 10360 10880 11200 11291 11840 11900 12580 12800 12904 12950 13600 14000 14336 14800 14875 15232 15725 16000 16130 16576 17000 17408 17612 17920 18500 18944 19040 19531 20128 20480 20720 21760 22015 22400 22582 23680 23800 25160 25600 25808 25900 27200 27421 28000 28672 29600 29750 30464 31450 32000 32260 32375 33152 34000 34816 35224 35840 37000 37888 38080 39062 40256 40325 40960 41440 43520 44030 44800 45164 47360 47600 50320 51200 51616 51800 54400 54842 56000 56455 57344 59200 59500 59681 60928 62900 64000 64520 64750 66304 68000 69632 70448 71680 74000 75776 76160 78124 78625 80512 80650 82880 87040 88060 89600 90328 94720 95200 97655 100640 102400 103232 103600 108800 109684 110075 112000 112910 118400 119000 119362 121856 125800 128000 129040 129500 132608 136000 136717 137105 139264 140896 143360 148000 151552 152320 156248 157250 161024 161300 165760 174080 176120 179200 180656 189440 190400 191947 195310 201280 201625 204800 206464 207200 217600 219368 220150 224000 225820 236800 238000 238724 243712 251600 256000 258080 259000 265216 272000 273434 274210 281792 282275 286720 296000 298405 303104 304640 312496 314500 322048 322600 331520 332027 348160 352240 358400 361312 378880 380800 383894 390620 402560 403250 412928 414400 417767 435200 438736 440300 448000 451640 473600 476000 477448 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191944543078400 202912802682880 208880826291200 221935877934400 225817109504000 238720944332800 239930678848000 253641003353600 261101032864000 274206490112000 277419847418000 284077923756032 298401180416000 317051254192000 334209322065920 355097404695040 383889086156800 405825605365760 417761652582400 443871755868800 479861357696000 507282006707200 522202065728000 548412980224000 554839694836000 568155847512064 596802360832000 634102508384000 710194809390080 767778172313600 811651210731520 835523305164800 887743511737600 959722715392000 1014564013414400 1044404131456000 1109679389672000 1136311695024128 1193604721664000 1268205016768000 1420389618780160 1671046610329600 1775487023475200 1919445430784000 2029128026828800 2088808262912000 2219358779344000 2536410033536000 2840779237560320 3550974046950400 3838890861568000 4058256053657600 4177616525824000 4438717558688000 5072820067072000 5681558475120640 7101948093900800 8355233051648000 8877435117376000 10145640134144000 14203896187801600 17754870234752000 20291280268288000 28407792375603200 35509740469504000 71019480939008000 142038961878016000
- Sum of all divisors σ(n): 440873874851724288
- Sum of proper divisors (its aliquot sum) s(n): 298834912973708288
- 142038961878016000 is an abundant number, because the sum of its proper divisors (298834912973708288) is greater than itself. Its abundance is 156795951095692288
Bases of 142038961878016000
- Binary: 1111110001001111110101110111010110000000100100000000000002
- Hexadecimal: 0x1F89FAEEB012000
- Base-36: 12UKLY9WUPDS
Squares and roots of 142038961878016000
- 142038961878016000 squared (1420389618780160002) is 20175066691384482533664096256000000
- 142038961878016000 cubed (1420389618780160003) is 2865645528663990906706933571483845154308096000000000
-
The
square root of 142038961878016000 is 376880567.1270621509 -
The
cube root of 142038961878016000 is 521758.0557919449
Scales and comparisons
How big is 142038961878016000?- 142,038,961,878,016,000 seconds is equal to 4,516,399,632 years, 18 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 142,038,961,878,016,000 would take you about thirteen billion, five hundred forty-nine million, one hundred ninety-eight thousand, eight hundred ninety-seven 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 142038961878016000 cubic inches would be around 43479.8 feet tall.
Recreational maths with 142038961878016000
- 142038961878016000 backwards is 000610878169830241
- 142038961878016000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 142038961878016000's digits is 64
- More coming soon!
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MLA style:
"Number 142038961878016000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 142038961878016000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/142038961878016000/
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