71329961457664000
71,329,961,457,664,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 71329961457664000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3600 divisors.
71329961457664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 71329961457664000:
214 × 53 × 72 × 134 × 41 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 41 × 607)See below for interesting mathematical facts about the number 71329961457664000 from the Numbermatics database.
Names of 71329961457664000
- Cardinal: 71329961457664000 can be written as Seventy-one quadrillion, three hundred twenty-nine trillion, nine hundred sixty-one billion, four hundred fifty-seven million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 7.1329961457664 × 1016
Factors of 71329961457664000
Divisors of 71329961457664000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 49 50 52 56 64 65 70 80 82 91 98 100 104 112 125 128 130 140 160 164 169 175 182 196 200 205 208 224 245 250 256 260 280 287 320 325 328 338 350 364 392 400 410 416 448 455 490 500 512 520 533 560 574 607 637 640 650 656 676 700 728 784 800 820 832 845 875 896 910 980 1000 1024 1025 1040 1066 1120 1148 1183 1214 1225 1274 1280 1300 1312 1352 1400 1435 1456 1568 1600 1625 1640 1664 1690 1750 1792 1820 1960 2000 2009 2048 2050 2080 2132 2197 2240 2275 2296 2366 2428 2450 2548 2560 2600 2624 2665 2704 2800 2870 2912 3035 3136 3185 3200 3250 3280 3328 3380 3500 3584 3640 3731 3920 4000 4018 4096 4100 4160 4225 4249 4264 4394 4480 4550 4592 4732 4856 4900 5096 5120 5125 5200 5248 5330 5408 5600 5740 5824 5915 6070 6125 6272 6370 6400 6500 6560 6656 6760 6929 7000 7168 7175 7280 7462 7840 7891 8000 8036 8192 8200 8281 8320 8450 8498 8528 8788 8960 9100 9184 9464 9712 9800 10045 10192 10240 10250 10400 10496 10660 10816 10985 11200 11375 11480 11648 11830 12140 12250 12544 12740 12800 13000 13120 13312 13325 13520 13858 14000 14336 14350 14560 14924 15175 15379 15680 15782 15925 16000 16072 16384 16400 16562 16640 16900 16996 17056 17576 17920 18200 18368 18655 18928 19424 19600 20090 20384 20480 20500 20800 20992 21125 21245 21320 21632 21970 22400 22750 22960 23296 23660 24280 24500 24887 25088 25480 25600 26000 26117 26240 26624 26650 27040 27716 28000 28561 28672 28700 29120 29575 29743 29848 30350 30758 31360 31564 31850 32000 32144 32800 33124 33280 33800 33992 34112 34645 35152 35840 35875 36400 36736 37310 37856 38848 39200 39455 40180 40768 40960 41000 41405 41600 41984 42250 42490 42640 43264 43940 44800 45500 45920 46592 47320 48503 48560 49000 49774 50176 50225 50960 51200 52000 52234 52480 53248 53300 54080 54925 55237 55432 56000 57122 57344 57400 58240 59150 59486 59696 60700 61516 62720 63128 63700 64000 64288 65600 66248 66560 66625 67600 67984 68224 69290 70304 71680 71750 72800 73472 74620 75712 75875 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274346005606400 278632661944000 285319845830656 291142699827200 318437327936000 342932507008000 347951031500800 356649807288320 363928374784000 391922865152000 407599779758080 422070777856000 434938789376000 445812259110400 509499724697600 548692011212800 557265323888000 570639691661312 636874655872000 685865014016000 713299614576640 727856749568000 783845730304000 869877578752000 891624518220800 1018999449395200 1097384022425600 1114530647776000 1273749311744000 1371730028032000 1426599229153280 1455713499136000 1739755157504000 1783249036441600 2037998898790400 2229061295552000 2547498623488000 2743460056064000 2853198458306560 3566498072883200 4458122591104000 5094997246976000 5486920112128000 7132996145766400 8916245182208000 10189994493952000 14265992291532800 17832490364416000 35664980728832000 71329961457664000
- Sum of all divisors σ(n): 230209557806801664
- Sum of proper divisors (its aliquot sum) s(n): 158879596349137664
- 71329961457664000 is an abundant number, because the sum of its proper divisors (158879596349137664) is greater than itself. Its abundance is 87549634891473664
Bases of 71329961457664000
- Binary: 111111010110101000111000110101101000011011000000000000002
- Hexadecimal: 0xFD6A38D686C000
- Base-36: JICCZX2V4SG
Squares and roots of 71329961457664000
- 71329961457664000 squared (713299614576640002) is 5087963401551831751664336896000000
- 71329961457664000 cubed (713299614576640003) is 362924233330697180532596362676248137170944000000000
-
The
square root of 71329961457664000 is 267076695.8341067989 -
The
cube root of 71329961457664000 is 414722.2440206209
Scales and comparisons
How big is 71329961457664000?- 71,329,961,457,664,000 seconds is equal to 2,268,072,136 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 71,329,961,457,664,000 would take you about six billion, eight hundred four million, two hundred sixteen thousand, four hundred eight 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 71329961457664000 cubic inches would be around 34560.2 feet tall.
Recreational maths with 71329961457664000
- 71329961457664000 backwards is 00046675416992317
- 71329961457664000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 71329961457664000's digits is 70
- More coming soon!
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"Number 71329961457664000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 71329961457664000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/71329961457664000/
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Numbermatics. 2024. "Number 71329961457664000 - Facts about the integer". https://numbermatics.com/n/71329961457664000/
The information we have on file for 71329961457664000 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!
Keywords: Divisors of 71329961457664000, math, Factors of 71329961457664000, curriculum, school, college, exams, university, Prime factorization of 71329961457664000, STEM, science, technology, engineering, physics, economics, calculator, seventy-one quadrillion, three hundred twenty-nine trillion, nine hundred sixty-one billion, four hundred fifty-seven million, six hundred sixty-four thousand.