132813588002228224
132,813,588,002,228,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 132813588002228224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
132813588002228224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 132813588002228224:
211 × 72 × 136 × 17 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 17 × 127 × 127)See below for interesting mathematical facts about the number 132813588002228224 from the Numbermatics database.
Names of 132813588002228224
- Cardinal: 132813588002228224 can be written as One hundred thirty-two quadrillion, eight hundred thirteen trillion, five hundred eighty-eight billion, two million, two hundred twenty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.32813588002228224 × 1017
Factors of 132813588002228224
Divisors of 132813588002228224
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 119 127 128 136 169 182 196 208 221 224 238 254 256 272 338 364 392 416 442 448 476 508 512 544 637 676 728 784 832 833 884 889 896 952 1016 1024 1088 1183 1274 1352 1456 1547 1568 1651 1664 1666 1768 1778 1792 1904 2032 2048 2159 2176 2197 2366 2548 2704 2873 2912 3094 3136 3302 3328 3332 3536 3556 3584 3808 4064 4318 4352 4394 4732 5096 5408 5746 5824 6188 6223 6272 6604 6656 6664 7072 7112 7168 7616 8128 8281 8636 8704 8788 9464 10192 10816 10829 11492 11557 11648 12376 12446 12544 13208 13312 13328 14144 14224 14336 15113 15232 15379 16129 16256 16562 17272 17408 17576 18928 20111 20384 21463 21632 21658 22984 23114 23296 24752 24892 25088 26416 26624 26656 28067 28288 28448 28561 30226 30464 30758 32258 32512 33124 34544 34816 35152 37349 37856 40222 40768 42926 43264 43316 45968 46228 46592 49504 49784 50176 52832 53312 56134 56576 56896 57122 60452 60928 61516 64516 65024 66248 69088 70304 74698 75712 80444 80899 81536 85852 86528 86632 91936 92456 93184 99008 99568 100352 105664 105791 106624 107653 112268 112903 113152 113792 114244 120904 121856 123032 129032 130048 132496 138176 140608 140777 149396 150241 151424 160888 161798 163072 171704 173056 173264 183872 184912 186368 196469 198016 199136 199927 209677 211328 211582 213248 215306 224536 225806 226304 227584 228488 241808 243712 246064 258064 260096 261443 264992 274193 276352 279019 281216 281554 298792 300482 302848 321776 323596 326144 343408 346112 346528 364871 367744 369824 371293 392938 396032 398272 399854 419354 422656 423164 426496 430612 449072 451612 452608 455168 456976 483616 485537 492128 516128 522886 529984 548386 552704 558038 562432 563108 597584 600964 605696 643552 647192 652288 686816 693056 729742 735488 739648 742586 785876 790321 792064 796544 799708 838708 845312 846328 852992 861224 898144 903224 910336 913952 967232 971074 984256 1032256 1045772 1051687 1059968 1096772 1105408 1116076 1124864 1126216 1195168 1201928 1211392 1287104 1294384 1304576 1373632 1375283 1386112 1399489 1459484 1467739 1470976 1479296 1485172 1571752 1580642 1584128 1593088 1599416 1677416 1690624 1692656 1705984 1722448 1796288 1806448 1820672 1827904 1830101 1919351 1934464 1942148 1953133 1968512 2064512 2091544 2103374 2119936 2193544 2210816 2232152 2249728 2252432 2390336 2403856 2422784 2554097 2574208 2588768 2599051 2725801 2747264 2750566 2772224 2798978 2918968 2935478 2941952 2958592 2970344 3143504 3161284 3168256 3186176 3198832 3354832 3381248 3385312 3398759 3444896 3564509 3592576 3612896 3627247 3655808 3660202 3838702 3868928 3884296 3906266 3937024 4129024 4183088 4206748 4239872 4387088 4421632 4464304 4499456 4504864 4743323 4780672 4807712 4826809 5108194 5148416 5177536 5198102 5451602 5494528 5501132 5544448 5597956 5837936 5870956 5883904 5917184 5940688 6287008 6311981 6322568 6372352 6397664 6709664 6770624 6797518 6889792 7129018 7185152 7225792 7254494 7311616 7320404 7677404 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5778523668736 6132310832128 6139681398032 6188025346048 6515580259136 6604027049984 7016778740608 7556530951424 7629457031378 7689531496192 8019175703552 8170127214704 8234458925056 8636035373056 8719379464432 8788035995648 9264340680959 9337288245376 9390100961696 9965005102208 9976982271802 10055541187328 10587817921096 10671186566144 10731543956224 11402265453488 11492047071232 11557047337472 12264621664256 12279362796064 13031160518272 14033557481216 15113061902848 15258914062756 15379062992384 16038351407104 16340254429408 17438758928864 18528681361918 18674576490752 18780201923392 19930010204416 19953964543604 20111082374656 21175635842192 21342373132288 21463087912448 22804530906976 23114094674944 24558725592128 26062321036544 28067114962432 30226123805696 30517828125512 30758125984768 32680508858816 34877517857728 37057362723836 37349152981504 37560403846784 39860020408832 39907929087208 40222164749312 42351271684384 42926175824896 45609061813952 46228189349888 49117451184256 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2371671214325504 2554107461581312 2710481387800576 3906282000065536 4150424625069632 4743342428651008 5108214923162624 7812564000131072 8300849250139264 9486684857302016 10216429846325248 16601698500278528 18973369714604032 33203397000557056 66406794001114112 132813588002228224
- Sum of all divisors σ(n): 357160881185714970
- Sum of proper divisors (its aliquot sum) s(n): 224347293183486746
- 132813588002228224 is an abundant number, because the sum of its proper divisors (224347293183486746) is greater than itself. Its abundance is 91533705181258522
Bases of 132813588002228224
- Binary: 1110101111101100101000001001011100011011111001000000000002
- Hexadecimal: 0x1D7D9412E37C800
- Base-36: 10BQHK0VAXOG
Squares and roots of 132813588002228224
- 132813588002228224 squared (1328135880022282242) is 17639449158025620848620388982194176
- 132813588002228224 cubed (1328135880022282243) is 2342758533060266344793571191670672944882948635623424
-
The
square root of 132813588002228224 is 364435986.1515163599 -
The
cube root of 132813588002228224 is 510208.2809436589
Scales and comparisons
How big is 132813588002228224?- 132,813,588,002,228,224 seconds is equal to 4,223,061,279 years, 3 weeks, 4 days, 8 hours, 17 minutes, 4 seconds.
-
To count from 1 to 132,813,588,002,228,224 would take you about twelve billion, six hundred sixty-nine million, one hundred eighty-three thousand, eight hundred thirty-seven 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 132813588002228224 cubic inches would be around 42517.4 feet tall.
Recreational maths with 132813588002228224
- 132813588002228224 backwards is 422822200885318231
- The number of decimal digits it has is: 18
- The sum of 132813588002228224's digits is 61
- More coming soon!
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"Number 132813588002228224 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 132813588002228224 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/132813588002228224/
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The information we have on file for 132813588002228224 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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