132400381370400
132,400,381,370,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 132400381370400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
132400381370400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132400381370400:
25 × 32 × 52 × 11 × 13 × 41 × 199 × 15761
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 41 × 199 × 15761)See below for interesting mathematical facts about the number 132400381370400 from the Numbermatics database.
Names of 132400381370400
- Cardinal: 132400381370400 can be written as One hundred thirty-two trillion, four hundred billion, three hundred eighty-one million, three hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.324003813704 × 1014
Factors of 132400381370400
Divisors of 132400381370400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 41 44 45 48 50 52 55 60 65 66 72 75 78 80 82 88 90 96 99 100 104 110 117 120 123 130 132 143 144 150 156 160 164 165 176 180 195 198 199 200 205 208 220 225 234 240 246 260 264 275 286 288 300 312 325 328 330 352 360 369 390 396 398 400 410 416 429 440 450 451 468 480 492 495 520 528 533 550 572 585 597 600 615 624 650 656 660 715 720 738 780 792 796 800 820 825 858 880 900 902 936 975 984 990 995 1025 1040 1056 1066 1100 1144 1170 1194 1200 1230 1248 1287 1300 1312 1320 1353 1430 1440 1476 1560 1584 1592 1599 1640 1650 1716 1760 1791 1800 1804 1845 1872 1950 1968 1980 1990 2050 2080 2132 2145 2189 2200 2255 2288 2340 2388 2400 2460 2475 2574 2587 2600 2640 2665 2706 2860 2925 2952 2985 3075 3120 3168 3184 3198 3280 3300 3432 3575 3582 3600 3608 3690 3744 3900 3936 3960 3980 4059 4100 4264 4290 4378 4400 4510 4576 4680 4776 4797 4920 4950 4975 5148 5174 5200 5280 5330 5412 5720 5850 5863 5904 5970 6150 6240 6368 6396 6435 6560 6567 6600 6765 6864 7150 7164 7200 7216 7380 7761 7800 7920 7960 7995 8118 8159 8200 8528 8580 8756 8800 8955 9020 9225 9360 9552 9594 9840 9900 9950 10296 10348 10400 10660 10725 10824 10945 11275 11440 11700 11726 11808 11940 12300 12792 12870 12935 13134 13200 13325 13530 13728 14300 14328 14432 14760 14925 15522 15600 15761 15840 15920 15990 16236 16318 16400 17056 17160 17512 17589 17910 18040 18450 18720 19104 19188 19680 19701 19800 19900 20295 20592 20696 21320 21450 21648 21890 22550 22880 23283 23400 23452 23880 23985 24477 24600 25584 25740 25870 26268 26400 26650 27060 28457 28600 28656 29315 29520 29850 31044 31200 31522 31840 31980 32175 32472 32636 32800 32835 33825 34320 35024 35178 35820 36080 36900 38376 38805 39402 39600 39800 39975 40590 40795 41184 41392 42640 42900 43296 43780 44775 45100 46566 46800 46904 47283 47760 47970 48954 49200 51168 51480 51740 52536 52767 53300 54120 54725 56914 57200 57312 58630 59040 59700 62088 63044 63960 64350 64675 64944 65272 65670 67650 68640 70048 70356 71640 72160 73431 73800 76752 77610 78804 78805 79200 79600 79950 81180 81590 82784 85280 85371 85800 87560 87945 89550 89749 90200 93132 93600 93808 94566 95520 95940 97908 98400 98505 101475 102960 103480 105072 105534 106067 106600 108240 109450 113828 114400 116415 117260 119400 119925 122385 124176 126088 127920 128700 129350 129888 130544 131340 135300 140712 141849 142285 143280 146575 146862 147600 153504 155220 157608 157610 159200 159900 162360 163180 164175 170742 171600 173371 175120 175890 179100 179498 180400 186264 187616 189132 191880 194025 195816 197010 202950 203975 204893 205920 206960 210144 211068 212134 213200 216480 218900 227656 232830 234520 236415 238800 239850 244770 248352 252176 255840 256113 257400 258700 261088 262680 263835 269247 270600 281424 283698 284570 286560 293150 293724 295200 310440 315216 315220 318201 319800 324720 326360 328350 341484 343200 346742 350240 351780 358200 358996 360800 367155 372528 378264 383760 388050 391632 394020 394025 405900 407950 409786 413920 422136 424268 426400 426855 437800 439725 448745 455312 465660 469040 472830 477600 479700 489540 492525 504352 512226 514800 517400 520113 525360 527670 530335 538494 541200 562848 567396 569140 582075 586300 587448 611925 614679 620880 630432 630440 636402 639600 646201 649440 652720 656700 682968 693484 703560 709245 711425 716400 717992 734310 745056 756528 767520 776100 783264 788040 788050 807741 811800 815900 819572 844272 848536 853710 866855 875600 879450 897490 910624 931320 938080 945660 954603 959400 979080 985050 1024452 1024465 1029600 1034800 1040226 1050720 1055340 1060670 1076988 1082400 1134792 1138280 1164150 1166737 1172600 1174896 1182075 1223850 1229358 1241760 1260880 1272804 1279200 1280565 1292402 1305440 1313400 1319175 1346235 1365936 1386968 1407120 1418490 1422850 1432800 1435984 1468620 1513056 1552200 1560339 1576080 1576100 1591005 1615482 1623600 1631800 1639144 1688544 1697072 1707420 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2558955960 2571879980 2587562175 2691064662 2704587600 2760066320 2772202290 2800168800 2822795100 2829067978 2843284400 2935706904 2957015776 3024220680 3058028025 3086255976 3105074610 3198694950 3214849975 3245505120 3261896560 3312079584 3326642748 3343443974 3360245200 3411941280 3450082900 3588086216 3669633630 3696269720 3763726800 3780275850 3857819970 3914275872 4032294240 4036596993 4056881400 4077370700 4115007968 4140099480 4158303435 4200253200 4243601967 4264926600 4435523664 4485107770 4516472160 4620337150 4629383964 4652647200 4892844840 4968119376 5015165961 5040367800 5117911920 5143759960 5175124350 5382129324 5409175200 5520132640 5544404580 5645590200 5658135956 5686568800 5786729955 5871413808 6048441360 6116056050 6172511952 6210149220 6397389900 6429699950 6523793120 6653285496 6686887948 6720490400 6727661655 6900165800 6930505725 7072669945 7176172432 7339267260 7392539440 7527453600 7560551700 7715639940 7762686525 8073193986 8113762800 8154741400 8280198960 8316606870 8358609935 8400506400 8487203934 8529853200 8871047328 8970215540 9174084075 9240674300 9258767928 9644549925 9785689680 9936238752 10030331922 10080735600 10235823840 10287519920 10350248700 10764258648 11088809160 11212769425 11291180400 11316271912 11573459910 11742827616 12096882720 12232112100 12345023904 12420298440 12730805901 12794779800 12859399900 13306570992 13373775896 13455323310 13800331600 13861011450 14145339890 14352344864 14678534520 14785078880 15045497883 15121103400 15431279880 15525373050 16146387972 16227525600 16309482800 16560397920 16633213740 16717219870 16974407868 17059706400 17940431080 18348168150 18388941857 18481348600 18517535856 19289099850 19571379360 20060663844 20161471200 20182984965 20575039840 20700497400 20791517175 21218009835 21528517296 22177618320 22425538850 22582360800 22632543824 23146919820 24464224200 24840596880 25075829805 25461611802 25589559600 25718799800 26613141984 26747551792 26910646620 27600663200 27722022900 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124202984400 125379149025 127308059010 129171103776 133065709920 133737758960 134553233100 135795262944 141453398900 146785345200 147111534856 150454978830 154312798800 160485310752 161463879720 165500476713 166332137400 167172198700 169744078680 179404310800 183889418570 185175358560 200606638440 201829849650 203692894416 212180098350 215285172960 220667302284 221776183200 226325438240 231469198200 240727966128 248405968800 250758298050 254616118020 267475517920 269106466200 275834127855 282906797800 293570690400 294223069712 300909957660 308625597600 318270147525 322927759440 331000953426 332664274800 334344397400 339488157360 358808621600 367778837140 376137447075 401213276880 403659699300 407385788832 424360196700 441334604568 459723546425 462938396400 481455932256 501516596100 509232236040 538212932400 551668255710 565813595600 588446139424 601819915320 636540295050 645855518880 662001906852 665328549600 668688794800 678976314720 735557674280 752274894150 802426553760 807319398600 827502383565 848720393400 882669209136 919447092850 925876792800 1003033192200 1018464472080 1076425864800 1103336511420 1131627191200 1203639830640 1273080590100 1324003813704 1337377589600 1379170639275 1471115348560 1504549788300 1614638797200 1655004767130 1697440786800 1765338418272 1838894185700 2006066384400 2036928944160 2206673022840 2407279661280 2546161180200 2648007627408 2758341278550 2942230697120 3009099576600 3229277594400 3310009534260 3394881573600 3677788371400 4012132768800 4137511917825 4413346045680 5092322360400 5296015254816 5516682557100 6018199153200 6620019068520 7355576742800 8275023835650 8826692091360 10184644720800 11033365114200 12036398306400 13240038137040 14711153485600 16550047671300 22066730228400 26480076274080 33100095342600 44133460456800 66200190685200 132400381370400
- Sum of all divisors σ(n): 564736017081600
- Sum of proper divisors (its aliquot sum) s(n): 432335635711200
- 132400381370400 is an abundant number, because the sum of its proper divisors (432335635711200) is greater than itself. Its abundance is 299935254340800
Bases of 132400381370400
- Binary: 111100001101010110111011011001100100000001000002
- Hexadecimal: 0x786ADDB32020
- Base-36: 1AXJW8LAG0
Squares and roots of 132400381370400
- 132400381370400 squared (1324003813704002) is 17529860987027363381996160000
- 132400381370400 cubed (1324003813704003) is 2320960280052519478796675521228337664000000
-
The
square root of 132400381370400 is 11506536.4628284213 -
The
cube root of 132400381370400 is 50967.8615112879
Scales and comparisons
How big is 132400381370400?- 132,400,381,370,400 seconds is equal to 4,209,922 years, 30 weeks, 3 days, 10 hours.
-
To count from 1 to 132,400,381,370,400 would take you about ten million, five hundred twenty-four thousand, eight hundred six 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 132400381370400 cubic inches would be around 4247.3 feet tall.
Recreational maths with 132400381370400
- 132400381370400 backwards is 004073183004231
- 132400381370400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132400381370400's digits is 36
- More coming soon!
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"Number 132400381370400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 132400381370400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/132400381370400/
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The information we have on file for 132400381370400 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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