132242646400
132,242,646,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 132242646400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
132242646400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132242646400:
27 × 52 × 17 × 41 × 211 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 41 × 211 × 281)See below for interesting mathematical facts about the number 132242646400 from the Numbermatics database.
Names of 132242646400
- Cardinal: 132242646400 can be written as One hundred thirty-two billion, two hundred forty-two million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.322426464 × 1011
Factors of 132242646400
Divisors of 132242646400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 41 50 64 68 80 82 85 100 128 136 160 164 170 200 205 211 272 281 320 328 340 400 410 422 425 544 562 640 656 680 697 800 820 844 850 1025 1055 1088 1124 1312 1360 1394 1405 1600 1640 1688 1700 2050 2110 2176 2248 2624 2720 2788 2810 3200 3280 3376 3400 3485 3587 4100 4220 4496 4777 5248 5275 5440 5576 5620 6560 6752 6800 6970 7025 7174 8200 8440 8651 8992 9554 10550 10880 11152 11240 11521 13120 13504 13600 13940 14050 14348 16400 16880 17302 17425 17935 17984 19108 21100 22304 22480 23042 23885 26240 27008 27200 27880 28100 28696 32800 33760 34604 34850 35870 35968 38216 42200 43255 44608 44960 46084 47770 54400 55760 56200 57392 57605 59291 65600 67520 69208 69700 71740 76432 84400 86510 89216 89675 89920 92168 95540 111520 112400 114784 115210 118582 119425 131200 135040 138416 139400 143480 147067 152864 168800 173020 179350 179840 184336 191080 195857 216275 223040 224800 229568 230420 237164 238850 276832 278800 286960 288025 294134 296455 305728 337600 346040 358700 368672 382160 391714 432550 446080 449600 459136 460840 474328 477700 553664 557600 573920 576050 588268 592910 611456 675200 692080 717400 735335 737344 764320 783428 865100 899200 921680 948656 955400 979285 1007947 1107328 1115200 1147840 1152100 1176536 1185820 1384160 1434800 1470670 1474688 1482275 1528640 1566856 1730200 1843360 1897312 1910800 1958570 2015894 2230400 2295680 2304200 2353072 2371640 2430931 2768320 2869600 2941340 2964550 3057280 3133712 3460400 3676675 3686720 3794624 3821600 3917140 4031788 4608400 4706144 4743280 4861862 4896425 5039735 5536640 5739200 5882680 5929100 6267424 6920800 7353350 7373440 7589248 7643200 7834280 8063576 9216800 9412288 9486560 9723724 9792850 10079470 11478400 11765360 11858200 12154655 12534848 13841600 14706700 15286400 15668560 16127152 18433600 18824576 18973120 19447448 19585700 20158940 23530720 23716400 24309310 25069696 25198675 27683200 29413400 31337120 32254304 36867200 37946240 38894896 39171400 40317880 41325827 47061440 47432800 48618620 50397350 58826800 60773275 62674240 64508608 77789792 78342800 80635760 82651654 94122880 94865600 97237240 100794700 117653600 121546550 125348480 129017216 155579584 156685600 161271520 165303308 189731200 194474480 201589400 206629135 235307200 243093100 311159168 313371200 322543040 330606616 388948960 403178800 413258270 470614400 486186200 626742400 645086080 661213232 777897920 806357600 826516540 972372400 1033145675 1322426464 1555795840 1612715200 1653033080 1944744800 2066291350 2644852928 3225430400 3306066160 3889489600 4132582700 5289705856 6612132320 7778979200 8265165400 13224264640 16530330800 26448529280 33060661600 66121323200 132242646400
- Sum of all divisors σ(n): 357279945120
- Sum of proper divisors (its aliquot sum) s(n): 225037298720
- 132242646400 is an abundant number, because the sum of its proper divisors (225037298720) is greater than itself. Its abundance is 92794652320
Bases of 132242646400
- Binary: 11110110010100100011010100101100000002
- Hexadecimal: 0x1ECA46A580
- Base-36: 1OR1UV0G
Squares and roots of 132242646400
- 132242646400 squared (1322426464002) is 17488117526875432960000
- 132242646400 cubed (1322426464003) is 2312674942308230377776185344000000
-
The
square root of 132242646400 is 363651.8202896831 -
The
cube root of 132242646400 is 5094.7613309737
Scales and comparisons
How big is 132242646400?- 132,242,646,400 seconds is equal to 4,204 years, 47 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 132,242,646,400 would take you about eight thousand, four hundred nine 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 132242646400 cubic inches would be around 424.6 feet tall.
Recreational maths with 132242646400
- 132242646400 backwards is 004646242231
- 132242646400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132242646400's digits is 34
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 132242646400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 132242646400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/132242646400/
Chicago style:
Numbermatics. 2024. "Number 132242646400 - Facts about the integer". https://numbermatics.com/n/132242646400/
The information we have on file for 132242646400 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 132242646400, math, Factors of 132242646400, curriculum, school, college, exams, university, Prime factorization of 132242646400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two billion, two hundred forty-two million, six hundred forty-six thousand, four hundred.