132144022400
132,144,022,400 is an even composite number composed of six prime numbers multiplied together.
132144022400 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 132144022400:
27 × 52 × 13 × 31 × 43 × 2383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 31 × 43 × 2383)See below for interesting mathematical facts about the number 132144022400 from the Numbermatics database.
Names of 132144022400
- Cardinal: 132144022400 can be written as One hundred thirty-two billion, one hundred forty-four million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.321440224 × 1011
Factors of 132144022400
Divisors of 132144022400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 43 50 52 62 64 65 80 86 100 104 124 128 130 155 160 172 200 208 215 248 260 310 320 325 344 400 403 416 430 496 520 559 620 640 650 688 775 800 806 832 860 992 1040 1075 1118 1240 1300 1333 1376 1550 1600 1612 1664 1720 1984 2015 2080 2150 2236 2383 2480 2600 2666 2752 2795 3100 3200 3224 3440 3968 4030 4160 4300 4472 4766 4960 5200 5332 5504 5590 6200 6448 6665 6880 8060 8320 8600 8944 9532 9920 10075 10400 10664 11180 11915 12400 12896 13330 13760 13975 16120 17200 17329 17888 19064 19840 20150 20800 21328 22360 23830 24800 25792 26660 27520 27950 30979 32240 33325 34400 34658 35776 38128 40300 41600 42656 44720 47660 49600 51584 53320 55900 59575 61958 64480 66650 68800 69316 71552 73873 76256 80600 85312 86645 89440 95320 99200 102469 106640 111800 119150 123916 128960 133300 137600 138632 147746 152512 154895 161200 170624 173290 178880 190640 204938 213280 223600 238300 247832 257920 266600 277264 295492 305024 309790 322400 346580 357760 369365 381280 409876 426560 433225 447200 476600 495664 512345 533200 554528 590984 619580 644800 693160 738730 762560 774475 819752 853120 866450 894400 953200 960349 991328 1024690 1066400 1109056 1181968 1239160 1289600 1332097 1386320 1477460 1525120 1548950 1639504 1732900 1788800 1846825 1906400 1920698 1982656 2049380 2132800 2218112 2363936 2478320 2561725 2664194 2772640 2954920 3097900 3176539 3279008 3465800 3693650 3812800 3841396 3965312 4098760 4265600 4727872 4801745 4956640 5123450 5328388 5545280 5909840 6195800 6353078 6558016 6660485 6931600 7387300 7625600 7682792 8197520 9455744 9603490 9913280 10246900 10656776 11090560 11819680 12391600 12706156 13116032 13320970 13863200 14774600 15365584 15882695 16395040 19206980 19826560 20493800 21313552 23639360 24008725 24783200 25412312 26641940 27726400 29549200 30731168 31765390 32790080 33302425 38413960 40987600 41295007 42627104 47278720 48017450 49566400 50824624 53283880 55452800 59098400 61462336 63530780 65580160 66604850 76827920 79413475 81975200 82590014 85254208 96034900 99132800 101649248 106567760 118196800 122924672 127061560 133209700 153655840 158826950 163950400 165180028 170508416 192069800 203298496 206475035 213135520 236393600 254123120 266419400 307311680 317653900 327900800 330360056 384139600 406596992 412950070 426271040 508246240 532838800 614623360 635307800 660720112 768279200 825900140 852542080 1016492480 1032375175 1065677600 1270615600 1321440224 1536558400 1651800280 2032984960 2064750350 2131355200 2541231200 2642880448 3073116800 3303600560 4129500700 4262710400 5082462400 5285760896 6607201120 8259001400 10164924800 13214402240 16518002800 26428804480 33036005600 66072011200 132144022400
- Sum of all divisors σ(n): 371482890240
- Sum of proper divisors (its aliquot sum) s(n): 239338867840
- 132144022400 is an abundant number, because the sum of its proper divisors (239338867840) is greater than itself. Its abundance is 107194845440
Bases of 132144022400
- Binary: 11110110001000110010111000011100000002
- Hexadecimal: 0x1EC465C380
- Base-36: 1OPF508W
Squares and roots of 132144022400
- 132144022400 squared (1321440224002) is 17462042656051701760000
- 132144022400 cubed (1321440224003) is 2307504555891051572931559424000000
-
The
square root of 132144022400 is 363516.1927617531 -
The
cube root of 132144022400 is 5093.4944912749
Scales and comparisons
How big is 132144022400?- 132,144,022,400 seconds is equal to 4,201 years, 40 weeks, 16 hours, 53 minutes, 20 seconds.
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To count from 1 to 132,144,022,400 would take you about eight thousand, four hundred three 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 132144022400 cubic inches would be around 424.5 feet tall.
Recreational maths with 132144022400
- 132144022400 backwards is 004220441231
- The number of decimal digits it has is: 12
- The sum of 132144022400's digits is 23
- More coming soon!
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