12442736540416
12,442,736,540,416 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12442736540416 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
12442736540416 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 12442736540416:
28 × 72 × 13 × 17 × 29 × 37 × 47 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 29 × 37 × 47 × 89)See below for interesting mathematical facts about the number 12442736540416 from the Numbermatics database.
Names of 12442736540416
- Cardinal: 12442736540416 can be written as Twelve trillion, four hundred forty-two billion, seven hundred thirty-six million, five hundred forty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.2442736540416 × 1013
Factors of 12442736540416
Divisors of 12442736540416
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 29 32 34 37 47 49 52 56 58 64 68 74 89 91 94 98 104 112 116 119 128 136 148 178 182 188 196 203 208 221 224 232 238 256 259 272 296 329 356 364 376 377 392 406 416 442 448 464 476 481 493 518 544 592 611 623 629 637 658 712 728 752 754 784 799 812 832 833 884 896 928 952 962 986 1036 1073 1088 1157 1184 1222 1246 1258 1274 1316 1363 1421 1424 1456 1504 1508 1513 1547 1568 1598 1624 1664 1666 1739 1768 1792 1813 1856 1904 1924 1972 2072 2146 2176 2303 2314 2368 2444 2492 2516 2548 2581 2632 2639 2726 2842 2848 2912 3008 3016 3026 3094 3136 3196 3248 3293 3328 3332 3367 3451 3478 3536 3626 3712 3808 3848 3944 4144 4183 4277 4292 4352 4361 4403 4606 4628 4736 4888 4984 5032 5096 5162 5264 5278 5452 5593 5684 5696 5824 6016 6032 6052 6188 6272 6392 6409 6496 6586 6664 6734 6902 6956 7072 7252 7424 7511 7616 7696 7888 8099 8177 8288 8366 8554 8584 8722 8806 9212 9256 9472 9541 9776 9968 10064 10192 10324 10387 10528 10556 10591 10829 10904 11186 11368 11392 11648 12032 12064 12104 12173 12376 12544 12784 12818 12992 13172 13328 13468 13804 13912 13949 14144 14504 15022 15232 15392 15776 16198 16354 16576 16732 17108 17168 17444 17612 17719 18067 18241 18424 18473 18512 19082 19552 19669 19936 20128 20384 20648 20774 21056 21112 21182 21658 21808 22372 22607 22736 22784 23051 23171 23296 23569 24128 24157 24208 24346 24752 25568 25636 25984 26344 26656 26936 27608 27824 27898 28288 29008 29281 29563 29939 30044 30464 30784 30821 31552 32396 32708 33152 33464 33553 34216 34336 34888 35224 35438 36134 36482 36848 36946 37024 38164 39104 39151 39338 39872 40256 40768 41296 41548 42112 42224 42364 42809 43316 43616 43877 44744 44863 45214 45472 46102 46342 47138 48256 48314 48416 48692 49504 50431 51136 51272 51968 52577 52688 53312 53872 54379 55216 55648 55796 55981 56576 56693 57239 58016 58562 59126 59878 60088 61568 61642 63104 64792 65416 66304 66787 66928 67106 68432 68672 69776 70448 70876 71111 72268 72709 72964 73696 73892 74048 74137 76328 78208 78302 78676 79744 80512 81536 82592 83096 84224 84448 84728 85211 85618 86632 87232 87754 89488 89726 90428 90944 92204 92684 94276 95497 96512 96628 96832 97384 97643 99008 100862 102272 102544 105154 105376 106624 107744 108758 110432 111296 111592 111962 113386 114478 116032 117124 118252 119756 120176 121307 123136 123284 124033 126208 126469 127687 129584 130832 133574 133856 134212 136864 137344 137683 139552 140896 141752 142222 144536 145418 145928 147392 147784 148096 148274 152656 154771 156416 156604 157352 158249 159488 161024 161357 162197 163072 165184 166192 168896 169456 170422 171236 173264 174464 175508 178976 179452 180856 181888 184408 185368 188552 190994 193256 193664 194768 195286 198016 201724 204544 204967 205088 206941 210308 210752 213248 215488 217516 220864 222592 223184 223924 226772 228956 232064 234248 234871 236504 237133 239512 240352 242614 246568 248066 252938 255374 259168 261664 267148 267712 268424 273728 274688 275366 279104 281792 283504 284444 289072 290836 291856 294784 295568 296192 296548 299663 301223 305312 307139 309542 313208 314041 314704 316498 322714 324394 330368 332384 337792 338912 340844 342472 346528 348928 351016 353017 357952 358904 361712 363776 368816 370736 377104 380653 381988 384319 386512 387328 389536 390572 391867 396032 400673 403448 409934 410176 413882 420616 421504 430976 435032 441728 445184 446368 447848 453544 457912 464128 468496 469742 473008 474266 479024 480704 485228 493136 496132 497777 505876 508963 510748 518336 523328 534296 535424 536848 547456 550732 558208 563584 567008 568888 570401 578144 581672 583712 589568 591136 593096 599326 602446 610624 614278 619084 626416 628082 629408 632996 645428 648788 655603 660736 664768 668479 675584 677824 681688 683501 684944 693056 702032 706034 715904 717808 723424 727753 737632 741472 754208 761306 763976 768638 773024 779072 781144 783734 801346 806896 819868 820352 827764 841232 843008 849149 857327 861952 868231 870064 883456 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2496536224 2545568032 2627267006 2688577472 2701419136 2825967872 2853184256 2859084683 2899053248 2909220608 2974596352 3002590864 3154852064 3233559392 3267525352 3352030318 3431532416 3518873456 3577555072 3605545216 3695496448 3734314688 3738803047 3778541312 3830891792 3893221696 3967709356 4021569664 4111942016 4125575776 4136548052 4272917768 4368938392 4378162048 4564466816 4714943744 4727483488 4820897536 4883334592 4945443776 4993072448 5091136064 5254534012 5377154944 5402838272 5718169366 5798106496 6005181728 6309704128 6467118784 6535050704 6704060636 6863064832 6943491373 7037746912 7155110144 7468629376 7477606094 7661783584 7786443392 7935418712 8043139328 8223884032 8251151552 8273096104 8545835536 8737876784 8756324096 9128933632 9454966976 9766669184 9890887552 9986144896 10182272128 10509068024 10754309888 11436338732 11596212992 12010363456 12619408256 12934237568 13070101408 13408121272 13886982746 14075493824 14937258752 14955212188 15323567168 15572886784 15870837424 16502303104 16546192208 17091671072 17475753568 18909933952 19533338368 19781775104 19972289792 20364544256 21018136048 22872677464 24020726912 25238816512 25868475136 26140202816 26816242544 27773965492 28150987648 29910424376 30647134336 31741674848 33004606208 33092384416 34183342144 34951507136 37819867904 42036272096 45745354928 48041453824 48604439611 52280405632 53632485088 55547930984 56301975296 59820848752 61294268672 63483349696 66184768832 68366684288 69903014272 84072544192 91490709856 97208879222 104560811264 107264970176 111095861968 119641697504 126966699392 132369537664 136733368576 139806028544 168145088384 182981419712 194417758444 214529940352 222191723936 239283395008 253933398784 264739075328 336290176768 365962839424 388835516888 429059880704 444383447872 478566790016 731925678848 777671033776 888766895744 957133580032 1555342067552 1777533791488 3110684135104 6221368270208 12442736540416
- Sum of all divisors σ(n): 36148051699200
- Sum of proper divisors (its aliquot sum) s(n): 23705315158784
- 12442736540416 is an abundant number, because the sum of its proper divisors (23705315158784) is greater than itself. Its abundance is 11262578618368
Bases of 12442736540416
- Binary: 101101010001000011001110010000111011000000002
- Hexadecimal: 0xB510CE43B00
- Base-36: 4ES442O74
Squares and roots of 12442736540416
- 12442736540416 squared (124427365404162) is 154821692614203528401453056
- 12442736540416 cubed (124427365404163) is 1926405531939804189965196396800870711296
-
The
square root of 12442736540416 is 3527426.3338042937 -
The
cube root of 12442736540416 is 23172.4507888525
Scales and comparisons
How big is 12442736540416?- 12,442,736,540,416 seconds is equal to 395,640 years, 27 weeks, 5 days, 9 hours, 40 minutes, 16 seconds.
-
To count from 1 to 12,442,736,540,416 would take you about nine hundred eighty-nine thousand, one hundred 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 12442736540416 cubic inches would be around 1931 feet tall.
Recreational maths with 12442736540416
- 12442736540416 backwards is 61404563724421
- 12442736540416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12442736540416's digits is 49
- More coming soon!
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"Number 12442736540416 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 12442736540416 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/12442736540416/
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The information we have on file for 12442736540416 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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