132141122400
132,141,122,400 is an even composite number composed of seven prime numbers multiplied together.
132141122400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132141122400:
25 × 3 × 52 × 72 × 17 × 157 × 421
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 157 × 421)See below for interesting mathematical facts about the number 132141122400 from the Numbermatics database.
Names of 132141122400
- Cardinal: 132141122400 can be written as One hundred thirty-two billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.321411224 × 1011
Factors of 132141122400
Divisors of 132141122400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 68 70 75 80 84 85 96 98 100 102 105 112 119 120 136 140 147 150 157 160 168 170 175 196 200 204 210 224 238 240 245 255 272 280 294 300 314 336 340 350 357 392 400 408 420 421 425 471 476 480 490 510 525 544 560 588 595 600 628 672 680 700 714 735 784 785 800 816 833 840 842 850 942 952 980 1020 1050 1099 1120 1176 1190 1200 1225 1256 1263 1275 1360 1400 1428 1470 1568 1570 1632 1666 1680 1684 1700 1785 1884 1904 1960 2040 2100 2105 2198 2352 2355 2380 2400 2450 2499 2512 2526 2550 2669 2720 2800 2856 2940 2947 2975 3140 3297 3332 3360 3368 3400 3570 3675 3768 3808 3920 3925 4080 4165 4200 4210 4396 4704 4710 4760 4900 4998 5024 5052 5100 5338 5495 5600 5712 5880 5894 5950 6280 6315 6594 6664 6736 6800 7140 7157 7350 7536 7693 7840 7850 8007 8160 8330 8400 8420 8792 8841 8925 9420 9520 9800 9996 10104 10200 10525 10676 10990 11424 11760 11775 11788 11900 12495 12560 12630 13188 13328 13345 13472 13600 14280 14314 14700 14735 15072 15386 15700 16014 16485 16660 16800 16840 17584 17682 17850 18683 18840 19040 19600 19992 20208 20400 20629 20825 21050 21352 21471 21980 23079 23520 23550 23576 23800 24990 25120 25260 26376 26656 26690 27475 28560 28628 29400 29470 30772 31400 31575 32028 32970 33320 33680 35168 35364 35700 35785 37366 37680 38465 39200 39984 40035 40416 40800 41258 41650 42100 42704 42942 43960 44205 46158 47100 47152 47600 49980 50099 50520 52752 53380 54950 56049 57120 57256 58800 58940 61544 61887 62475 62800 63150 64056 65940 66097 66640 66725 67360 70728 71400 71570 73675 74732 75360 76930 79968 80070 82425 82516 83300 84200 85408 85884 87920 88410 92316 93415 94200 94304 95200 99960 100198 101040 103145 105504 106760 107355 109900 112098 114512 115395 117600 117880 123088 123774 124950 125600 126300 128112 130781 131880 132194 133280 133450 141456 142800 143140 147350 149464 150297 153860 160140 164850 165032 166600 168400 171768 175840 176820 178925 184632 186830 188400 192325 198291 199920 200175 200396 202080 206290 213520 214710 219800 221025 224196 229024 230790 235760 246176 247548 249900 250495 252600 256224 261562 263760 264388 266900 280245 282912 285600 286280 294700 298928 300594 307720 309435 320280 329700 330064 330485 333200 336800 343536 350693 353640 357850 369264 373660 376800 384650 392343 396582 399840 400350 400792 412580 427040 429420 439600 442050 448392 461580 462679 467075 471520 495096 499800 500990 505200 515725 523124 527520 528776 533800 536775 560490 572560 576975 589400 597856 601188 615440 618870 640560 653905 659400 660128 660970 666400 687072 701386 707280 715700 738528 747320 751485 769300 784686 793164 800700 801584 825160 858840 879200 884100 896784 923160 925358 934150 990192 991455 999600 1001980 1010400 1031450 1046248 1052079 1057552 1067600 1073550 1120980 1123649 1145120 1153950 1178800 1202376 1230880 1237740 1252475 1281120 1307810 1318800 1321940 1388037 1401225 1402772 1414560 1431400 1494640 1502970 1538600 1547175 1569372 1586328 1601400 1603168 1650320 1652425 1717680 1753465 1768200 1793568 1846320 1850716 1868300 1961715 1980384 1982910 1999200 2003960 2062900 2092496 2104158 2115104 2135200 2147100 2241960 2247298 2307900 2313395 2357600 2404752 2475480 2504950 2615620 2637600 2643880 2776074 2802450 2805544 2862800 2989280 3005940 3077200 3094350 3138744 3172656 3202800 3238753 3269525 3300640 3304850 3370947 3435360 3506930 3536400 3692640 3701432 3736600 3757425 3923430 3965820 4007920 4125800 4184992 4208316 4294200 4483920 4494596 4615800 4626790 4809504 4950960 4957275 5009900 5231240 5260395 5287760 5552148 5604900 5611088 5618245 5725600 6011880 6154400 6188700 6277488 6345312 6405600 6477506 6539050 6609700 6741894 6940185 7013860 7072800 7402864 7473200 7514850 7846860 7865543 7931640 8015840 8251600 8416632 8588400 8767325 8967840 8989192 9231600 9253580 9716259 9808575 9901920 9914550 10019800 10462480 10520790 10575520 11104296 11209800 11222176 11236490 11566975 12023760 12377400 12554976 12955012 13078100 13219400 13483788 13880370 14027720 14805728 14946400 15029700 15693720 15731086 15863280 16193765 16503200 16833264 16854735 17176800 17534650 17978384 18463200 18507160 19432518 19617150 19829100 20039600 20924960 21041580 22208592 22419600 22472980 23133950 23596629 24047520 24754800 25910024 26156200 26301975 26438800 26967576 27760740 28055440 28091225 30059400 31387440 31462172 31726560 32387530 33666528 33709470 34700925 35069300 35956768 37014320 38865036 39234300 39327715 39658200 40079200 42083160 44417184 44839200 44945960 46267900 47193258 48581295 49509600 51820048 52312400 52603950 52877600 53935152 55058801 55521480 56110880 56182450 60118800 62774880 62924344 64775060 67418940 69401850 70138600 74028640 77730072 78468600 78655430 79316400 80968825 84166320 84273675 89891920 92535800 94386516 97162590 103640096 104624800 105207900 107870304 110117602 111042960 112364900 117983145 120237600 125848688 129550120 134837880 138803700 140277200 155460144 156937200 157310860 158632800 161937650 165176403 168332640 168547350 179783840 185071600 188773032 194325180 196638575 210415800 220235204 222085920 224729800 235966290 242906475 251697376 259100240 269675760 275294005 277607400 280554400 310920288 313874400 314621720 323875300 330352806 337094700 370143200 377546064 388650360 393277150 420831600 440470408 449459600 471932580 485812950 518200480 539351520 550588010 555214800 589915725 629243440 647750600 660705612 674189400 755092128 777300720 786554300 825882015 841663200 880940816 898919200 943865160 971625900 1101176020 1110429600 1179831450 1258486880 1295501200 1321411224 1348378800 1376470025 1554601440 1573108600 1651764030 1761881632 1887730320 1943251800 2202352040 2359662900 2591002400 2642822448 2696757600 2752940050 3146217200 3303528060 3775460640 3886503600 4129410075 4404704080 4719325800 5285644896 5505880100 6292434400 6607056120 7773007200 8258820150 8809408160 9438651600 11011760200 13214112240 16517640300 18877303200 22023520400 26428224480 33035280600 44047040800 66070561200 132141122400
- Sum of all divisors σ(n): 534415607712
- Sum of proper divisors (its aliquot sum) s(n): 402274485312
- 132141122400 is an abundant number, because the sum of its proper divisors (402274485312) is greater than itself. Its abundance is 270133362912
Bases of 132141122400
- Binary: 11110110001000011100110000011011000002
- Hexadecimal: 0x1EC4398360
- Base-36: 1OPDEULC
Squares and roots of 132141122400
- 132141122400 squared (1321411224002) is 17461276229131781760000
- 132141122400 cubed (1321411224003) is 2307352639453913219278247424000000
-
The
square root of 132141122400 is 363512.2039216841 -
The
cube root of 132141122400 is 5093.4572308125
Scales and comparisons
How big is 132141122400?- 132,141,122,400 seconds is equal to 4,201 years, 35 weeks, 2 days, 3 hours, 20 minutes.
-
To count from 1 to 132,141,122,400 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 132141122400 cubic inches would be around 424.5 feet tall.
Recreational maths with 132141122400
- 132141122400 backwards is 004221141231
- 132141122400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132141122400's digits is 21
- More coming soon!
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The information we have on file for 132141122400 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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