3428001132192
3,428,001,132,192 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3428001132192 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
3428001132192 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3428001132192:
25 × 35 × 7 × 132 × 41 × 61 × 149
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 41 × 61 × 149)See below for interesting mathematical facts about the number 3428001132192 from the Numbermatics database.
Names of 3428001132192
- Cardinal: 3428001132192 can be written as Three trillion, four hundred twenty-eight billion, one million, one hundred thirty-two thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 3.428001132192 × 1012
Factors of 3428001132192
Divisors of 3428001132192
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 41 42 48 52 54 56 61 63 72 78 81 82 84 91 96 104 108 112 117 122 123 126 144 149 156 162 164 168 169 182 183 189 208 216 224 234 243 244 246 252 273 287 288 298 312 324 328 336 338 351 364 366 369 378 416 427 432 447 468 486 488 492 504 507 533 546 549 567 574 596 624 648 656 672 676 702 728 732 738 756 793 819 854 861 864 894 936 972 976 984 1008 1014 1043 1053 1066 1092 1098 1107 1134 1148 1183 1192 1248 1281 1296 1312 1341 1352 1404 1456 1464 1476 1512 1521 1586 1599 1638 1647 1701 1708 1722 1788 1872 1937 1944 1952 1968 2016 2028 2086 2106 2132 2184 2196 2214 2268 2296 2366 2379 2384 2457 2501 2562 2583 2592 2682 2704 2808 2912 2928 2952 3024 3042 3129 3159 3172 3198 3276 3294 3321 3402 3416 3444 3549 3576 3731 3744 3843 3874 3888 3936 4023 4056 4172 4212 4264 4368 4392 4428 4536 4563 4592 4732 4758 4768 4797 4914 4941 5002 5124 5166 5364 5408 5551 5616 5811 5856 5904 6048 6084 6109 6258 6318 6344 6396 6552 6588 6642 6804 6832 6888 6929 7098 7137 7152 7371 7462 7503 7686 7748 7749 7776 8046 8112 8344 8424 8528 8736 8784 8856 9072 9089 9126 9184 9387 9464 9516 9594 9828 9882 9963 10004 10248 10309 10332 10647 10728 11102 11193 11232 11529 11622 11808 12069 12168 12218 12516 12636 12688 12792 13104 13176 13284 13559 13608 13664 13689 13776 13858 14196 14274 14304 14391 14742 14823 14924 15006 15372 15496 15498 16092 16224 16653 16688 16848 17056 17433 17507 17568 17712 18144 18178 18252 18327 18774 18928 19032 19188 19656 19764 19926 20008 20496 20618 20664 20787 21294 21411 21456 22113 22204 22386 22509 23058 23244 23247 24138 24336 24436 25032 25181 25272 25376 25584 26208 26352 26568 27118 27216 27267 27378 27552 27716 28161 28392 28548 28782 29484 29646 29848 30012 30744 30927 30992 30996 31941 32184 32513 33306 33376 33579 33696 34587 34866 35014 35424 36207 36356 36504 36654 37548 37856 38064 38376 39312 39528 39852 40016 40677 40992 41067 41236 41328 41574 42588 42763 42822 42912 43173 44226 44408 44772 45018 46116 46488 46494 48276 48503 48672 48872 49959 50064 50362 50544 51168 52299 52521 52704 53136 54236 54432 54534 54756 54981 55432 56322 56784 57096 57564 58968 59292 59696 60024 61488 61854 61984 61992 62361 63623 63882 64233 64368 65026 66612 67158 67527 69174 69732 69741 70028 72163 72414 72712 73008 73308 75096 75543 76128 76752 78624 79056 79417 79704 80032 81354 81801 82134 82472 82656 83148 84483 85176 85526 85644 86346 88452 88816 89544 90036 92232 92781 92976 92988 95823 96552 97006 97539 97744 99918 100128 100724 100737 101088 103761 104598 105042 106272 108472 109068 109512 109962 110864 112644 113568 114192 115128 117936 118157 118584 119392 120048 122031 122976 123708 123984 124722 127246 127764 128289 128466 128736 129519 130052 133224 134316 135054 138348 139464 139482 140056 144326 144828 145424 145509 146016 146616 149877 150192 151086 153504 156897 157563 158112 158834 159408 162708 163602 164268 164943 164944 166296 168966 170352 171052 171288 172692 176267 176904 177632 179088 180072 184464 185562 185952 185976 187083 190869 191646 192699 193104 194012 195078 195488 199836 201448 201474 202581 207522 209196 210084 216489 216944 218136 219024 219924 221728 225288 226629 227591 228384 230256 235872 236314 237168 238251 240096 244062 245403 247416 247968 249444 253449 254492 255528 256578 256932 259038 260104 266448 268632 270108 276696 278343 278928 278964 280112 287469 288652 289656 290848 291018 292617 293232 299754 300384 302172 302211 313794 315126 317668 318816 325416 327204 328536 329886 329888 332592 337932 340704 342104 342576 345384 352534 353808 354471 358176 360144 366093 368928 371124 371952 372649 374166 381738 383292 384867 385398 386208 388024 390156 399672 402896 402948 405162 415044 418392 420168 422669 432978 433888 436272 436527 438048 439848 449631 450576 453258 455182 460512 470691 472628 472689 474336 476502 488124 490806 494829 494832 498888 506898 508984 511056 513156 513864 518076 520208 528801 532896 537264 540216 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2897718624 2986063704 3022928688 3096658656 3122041104 3139195176 3215760912 3255461664 3286674144 3380671728 3400794774 3483740988 3512296242 3526750136 3662394372 3834453168 3967593903 3981418272 4014052848 4185593568 4322826144 4534393032 4644987984 4683061656 4708792764 4883192496 5071007592 5101192161 5225611482 5290125204 5493591558 5751679752 5972127408 6045857376 6244082208 6278390352 6431521824 6761343456 6801589548 6967481976 7024592484 7053500272 7324788744 7668906336 7935187806 8028105696 8240387337 9068786064 9289975968 9366123312 9417585528 9766384992 10142015184 10202384322 10451222964 10580250408 10987183116 11503359504 11902781709 11944254816 12556780704 13603179096 13934963952 14049184968 14107000544 14649577488 15303576483 15870375612 16480774674 18137572128 18732246624 18835171056 20284030368 20404768644 20902445928 21160500816 21974366232 23006719008 23805563418 27206358192 27869927904 28098369936 29299154976 30607152966 31740751224 32961549348 35708345127 37670342112 40809537288 41804891856 42321001632 43948732464 47611126836 54412716384 56196739872 61214305932 63481502448 65923098696 71416690254 81619074576 83609783712 87897464928 95222253672 107125035381 122428611864 126963004896 131846197392 142833380508 163238149152 190444507344 214250070762 244857223728 263692394784 285666761016 380889014688 428500141524 489714447456 571333522032 857000283048 1142667044064 1714000566096 3428001132192
- Sum of all divisors σ(n): 13113398188800
- Sum of proper divisors (its aliquot sum) s(n): 9685397056608
- 3428001132192 is an abundant number, because the sum of its proper divisors (9685397056608) is greater than itself. Its abundance is 6257395924416
Bases of 3428001132192
- Binary: 1100011110001001001100101000101110101000002
- Hexadecimal: 0x31E24CA2EA0
- Base-36: 17QSVD600
Squares and roots of 3428001132192
- 3428001132192 squared (34280011321922) is 11751191762309633858724864
- 3428001132192 cubed (34280011321923) is 40283098665802728620577811569421221888
-
The
square root of 3428001132192 is 1851486.1955175363 -
The
cube root of 3428001132192 is 15078.1127166475
Scales and comparisons
How big is 3428001132192?- 3,428,001,132,192 seconds is equal to 108,999 years, 43 weeks, 2 days, 43 minutes, 12 seconds.
-
To count from 1 to 3,428,001,132,192 would take you about two hundred seventy-two thousand, four hundred ninety-nine 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 3428001132192 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3428001132192
- 3428001132192 backwards is 2912311008243
- 3428001132192 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428001132192's digits is 36
- More coming soon!
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MLA style:
"Number 3428001132192 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 3428001132192 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/3428001132192/
Chicago style:
Numbermatics. 2024. "Number 3428001132192 - Facts about the integer". https://numbermatics.com/n/3428001132192/
The information we have on file for 3428001132192 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!
Keywords: Divisors of 3428001132192, math, Factors of 3428001132192, curriculum, school, college, exams, university, Prime factorization of 3428001132192, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred twenty-eight billion, one million, one hundred thirty-two thousand, one hundred ninety-two.