146013213102120
146,013,213,102,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 146013213102120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
146013213102120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 146013213102120:
23 × 34 × 5 × 73 × 133 × 79 × 757
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 79 × 757)See below for interesting mathematical facts about the number 146013213102120 from the Numbermatics database.
Names of 146013213102120
- Cardinal: 146013213102120 can be written as One hundred forty-six trillion, thirteen billion, two hundred thirteen million, one hundred two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.4601321310212 × 1014
Factors of 146013213102120
Divisors of 146013213102120
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 49 52 54 56 60 63 65 70 72 78 79 81 84 90 91 98 104 105 108 117 120 126 130 135 140 147 156 158 162 168 169 180 182 189 195 196 210 216 234 237 245 252 260 270 273 280 294 312 315 316 324 338 343 351 360 364 378 390 392 395 405 420 441 455 468 474 490 504 507 520 540 546 553 567 585 588 630 632 637 648 676 686 702 711 728 735 756 757 780 790 810 819 840 845 882 910 936 945 948 980 1014 1027 1029 1053 1080 1092 1106 1134 1170 1176 1183 1185 1260 1274 1323 1352 1365 1372 1404 1422 1470 1512 1514 1521 1560 1580 1620 1638 1659 1690 1715 1755 1764 1820 1890 1896 1911 1960 2028 2054 2058 2106 2133 2184 2197 2205 2212 2268 2271 2340 2366 2370 2457 2520 2535 2548 2646 2730 2744 2765 2808 2835 2844 2940 3028 3042 3081 3087 3160 3185 3240 3276 3318 3380 3430 3510 3528 3549 3555 3640 3780 3785 3822 3871 3969 4056 4095 4108 4116 4212 4266 4394 4410 4424 4459 4536 4542 4563 4680 4732 4740 4914 4977 5070 5096 5135 5145 5265 5292 5299 5460 5530 5670 5688 5733 5880 5915 6056 6084 6162 6174 6370 6399 6552 6591 6615 6636 6760 6813 6860 7020 7098 7110 7189 7371 7560 7570 7605 7644 7742 7938 8190 8216 8232 8281 8295 8424 8532 8788 8820 8918 9084 9126 9243 9261 9464 9480 9555 9828 9841 9954 10140 10270 10290 10530 10584 10598 10647 10665 10920 10985 11060 11340 11355 11466 11613 11830 12168 12285 12324 12348 12740 12798 13182 13230 13272 13351 13377 13626 13689 13720 14040 14196 14220 14378 14742 14931 15140 15210 15288 15379 15405 15435 15484 15876 15897 16380 16562 16590 17064 17199 17576 17640 17745 17836 18168 18252 18486 18522 19110 19355 19656 19682 19773 19845 19908 20280 20439 20540 20580 21060 21196 21294 21330 21567 21970 22120 22295 22680 22710 22815 22932 23226 23660 24570 24648 24696 24843 24885 25480 25596 26364 26460 26495 26702 26754 27097 27252 27378 27729 27783 28392 28440 28665 28756 29484 29523 29862 30280 30420 30758 30810 30870 30968 31752 31794 31941 31995 32760 32955 33124 33180 34065 34398 34839 35490 35672 35945 36504 36855 36972 37044 37093 38220 38710 39364 39546 39690 39816 40053 40131 40878 41080 41160 41405 42120 42392 42588 42660 43134 43940 44590 44793 45420 45630 45864 46137 46215 46305 46452 47320 47691 49140 49205 49686 49770 50323 51192 51597 52728 52920 52990 53235 53404 53508 54194 54504 54756 55458 55566 57330 57512 57967 58065 58968 59046 59319 59724 59803 60840 61317 61516 61620 61740 63588 63882 63990 64701 65910 66248 66360 66755 66885 68130 68445 68796 68887 69678 70980 71890 73710 73944 74088 74186 74529 74655 76440 76895 77420 78728 79092 79380 79485 80106 80262 81291 81756 82810 83187 85176 85320 85995 86268 87880 88569 89180 89586 90840 91260 92274 92430 92610 92904 93457 95382 95823 98280 98410 98865 99372 99540 100646 102195 103194 104517 105980 106470 106808 107016 107653 107835 108388 109512 110916 111132 111279 114660 115934 116130 118092 118638 119448 119606 120159 120393 122634 123032 123240 123480 124215 127176 127764 127933 127980 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99328716396 102681584460 103998015030 106423624710 106969386888 107997938685 110365240440 114610057380 115883502462 123217901352 123426215640 124160895495 124797618036 128759447180 132019180020 133711733610 135197419539 138664020040 141898166280 142174501560 143997251580 148993074594 154022376690 154511336616 155997022545 160454080332 165547860660 172796701896 173825253693 178282311480 180263226052 184826852028 187196427054 192884033160 193139170770 198657432792 200567600415 205363168920 207996030060 212847249420 215995877370 225329032565 229220114760 231033565035 231767004924 248321790990 249595236072 257518894360 264038360040 267423467220 270394839078 280794640581 287994503160 289708756155 297986149188 308044753380 311994045090 320908160664 331095721320 347650507386 360526452104 369653704056 372482686485 374392854108 386278341540 401135200830 405592258617 415992060120 425694498840 431991754740 450658065130 462067130070 463534009848 467991067635 496643581980 521475761079 534846934440 540789678156 561589281162 579417512310 595972298376 616089506760 623988090180 675987097695 695301014772 744965372970 748785708216 772556683080 802270401660 811184517234 863983509480 869126268465 901316130260 924134260140 935982135270 993287163960 1042951522158 1081579356312 1123178562324 1158835024620 1216776775851 1247976180360 1351974195390 1390602029544 1403973202905 1489930745940 1604540803320 1622369034468 1738252536930 1802632260520 1848268520280 1871964270540 2027961293085 2085903044316 2246357124648 2317670049240 2433553551702 2607378805395 2703948390780 2807946405810 2979861491880 3244738068936 3476505073860 3650330327553 3743928541080 4055922586170 4171806088632 4867107103404 5214757610790 5407896781560 5615892811620 6083883879255 6953010147720 7300660655106 8111845172340 9734214206808 10429515221580 11231785623240 12167767758510 14601321310212 16223690344680 18251651637765 20859030443160 24335535517020 29202642620424 36503303275530 48671071034040 73006606551060 146013213102120
- Sum of all divisors σ(n): 628671859200000
- Sum of proper divisors (its aliquot sum) s(n): 482658646097880
- 146013213102120 is an abundant number, because the sum of its proper divisors (482658646097880) is greater than itself. Its abundance is 336645432995760
Bases of 146013213102120
- Binary: 1000010011001100010110011011001100010000001010002
- Hexadecimal: 0x84CC59B31028
- Base-36: 1FR9JL4QI0
Squares and roots of 146013213102120
- 146013213102120 squared (1460132131021202) is 21319858400405107633548494400
- 146013213102120 cubed (1460132131021203) is 3112981027925374207034611850194479448128000
-
The
square root of 146013213102120 is 12083592.7232806055 -
The
cube root of 146013213102120 is 52657.9627133649
Scales and comparisons
How big is 146013213102120?- 146,013,213,102,120 seconds is equal to 4,642,768 years, 27 weeks, 3 days, 5 hours, 42 minutes.
-
To count from 1 to 146,013,213,102,120 would take you about eleven million, six hundred six thousand, nine hundred twenty-one 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 146013213102120 cubic inches would be around 4388.2 feet tall.
Recreational maths with 146013213102120
- 146013213102120 backwards is 021201312310641
- 146013213102120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146013213102120's digits is 27
- More coming soon!
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"Number 146013213102120 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 146013213102120 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/146013213102120/
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The information we have on file for 146013213102120 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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