40628497941216
40,628,497,941,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 40628497941216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
40628497941216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 40628497941216:
25 × 34 × 41 × 612 × 127 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 41 × 61 × 61 × 127 × 809)See below for interesting mathematical facts about the number 40628497941216 from the Numbermatics database.
Names of 40628497941216
- Cardinal: 40628497941216 can be written as Forty trillion, six hundred twenty-eight billion, four hundred ninety-seven million, nine hundred forty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0628497941216 × 1013
Factors of 40628497941216
Divisors of 40628497941216
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 61 72 81 82 96 108 122 123 127 144 162 164 183 216 244 246 254 288 324 328 366 369 381 432 488 492 508 549 648 656 732 738 762 809 864 976 984 1016 1098 1107 1143 1296 1312 1464 1476 1524 1618 1647 1952 1968 2032 2196 2214 2286 2427 2501 2592 2928 2952 3048 3236 3294 3321 3429 3721 3936 4064 4392 4428 4572 4854 4941 5002 5207 5856 5904 6096 6472 6588 6642 6858 7281 7442 7503 7747 8784 8856 9144 9708 9882 10004 10287 10414 11163 11808 12192 12944 13176 13284 13716 14562 14884 15006 15494 15621 17568 17712 18288 19416 19764 20008 20574 20828 21843 22326 22509 23241 25888 26352 26568 27432 29124 29768 30012 30988 31242 33169 33489 35424 36576 38832 39528 40016 41148 41656 43686 44652 45018 46482 46863 49349 52704 53136 54864 58248 59536 60024 61976 62484 65529 66338 66978 67527 69723 77664 79056 80032 82296 83312 87372 89304 90036 92964 93726 98698 99507 100467 102743 106272 109728 116496 119072 120048 123952 124968 131058 132676 133956 135054 139446 140589 148047 152561 158112 164592 166624 174744 178608 180072 185928 187452 197396 199014 200934 202581 205486 209169 232992 240096 247904 249936 262116 265352 267912 270108 278892 281178 296094 298521 301401 305122 308229 317627 329184 349488 357216 360144 371856 374904 394792 398028 401868 405162 410972 418338 421767 444141 457683 472567 499872 524232 530704 535824 540216 557784 562356 592188 597042 602802 610244 616458 627507 635254 698976 720288 743712 749808 789584 796056 803736 810324 821944 836676 843534 888282 895563 915366 924687 945134 952881 1048464 1061408 1071648 1080432 1115568 1124712 1184376 1194084 1205604 1220488 1232916 1255014 1270508 1332423 1373049 1417701 1499616 1579168 1592112 1607472 1620648 1643888 1673352 1687068 1776564 1791126 1830732 1849374 1890268 1905762 2023309 2096928 2160864 2231136 2249424 2368752 2388168 2411208 2440976 2465832 2510028 2541016 2664846 2686689 2746098 2774061 2835402 2858643 3010289 3184224 3214944 3241296 3287776 3346704 3374136 3553128 3582252 3661464 3698748 3780536 3811524 3997269 4046618 4119147 4212463 4253103 4498848 4737504 4776336 4822416 4881952 4931664 5020056 5082032 5329692 5373378 5492196 5548122 5670804 5717286 6020578 6069927 6267323 6482592 6693408 6748272 7106256 7164504 7322928 7397496 7561072 7623048 7994538 8093236 8238294 8322183 8424926 8506206 8575929 9030867 9552672 9644832 9863328 10040112 10164064 10659384 10746756 10984392 11096244 11341608 11434572 12041156 12139854 12357441 12534646 12637389 12759309 13496544 14212512 14329008 14645856 14794992 15122144 15246096 15989076 16186472 16476588 16644366 16849852 17012412 17151858 18061734 18209781 18801969 19375247 20080224 21318768 21493512 21968784 22192488 22683216 22869144 24082312 24279708 24714882 25069292 25274778 25518618 25727787 27092601 28658016 29589984 30492192 31978152 32372944 32953176 33288732 33699704 34024824 34303716 36123468 36419562 37603938 37912167 38277927 38750494 42637536 42987024 43937568 44384976 45366432 45738288 48164624 48559416 49429764 50138584 50549556 51037236 51455574 54185202 54629343 56405907 58125741 63956304 64745888 65906352 66577464 67399408 68049648 68607432 72246936 72839124 75207876 75824334 76555854 77500988 81277803 85974048 88769952 91476576 96329248 97118832 98859528 100277168 101099112 102074472 102911148 108370404 109258686 112811814 113736501 116251482 123421849 127912608 131812704 133154928 134798816 136099296 137214864 144493872 145678248 150415752 151648668 153111708 155001976 162555606 163888029 169217721 174377223 194237664 197719056 200554336 202198224 204148944 205822296 216740808 218517372 225623628 227473002 232502964 243833409 246843698 256960243 266309856 274429728 288987744 291356496 300831504 303297336 306223416 310003952 325111212 327776058 338435442 341209503 348754446 370265547 382306703 395438112 404396448 408297888 411644592 433481616 437034744 451247256 454946004 465005928 487666818 493687396 507653163 513920486 523131669 582712992 601663008 606594672 612446832 620007904 650222424 655552116 676870884 682419006 697508892 740531094 764613406 770880729 823289184 866963232 874069488 902494512 909892008 930011856 975333636 987374792 1015306326 1027840972 1046263338 1110796641 1146920109 1213189344 1224893664 1300444848 1311104232 1353741768 1364838012 1395017784 1481062188 1529226812 1541761458 1569395007 1748138976 1804989024 1819784016 1860023712 1950667272 1974749584 2030612652 2055681944 2092526676 2221593282 2293840218 2312642187 2600889696 2622208464 2707483536 2729676024 2790035568 2962124376 3058453624 3083522916 3138790014 3332389923 3440760327 3639568032 3901334544 3949499168 4061225304 4111363888 4185053352 4443186564 4587680436 4625284374 5244416928 5414967072 5459352048 5580071136 5924248752 6116907248 6167045832 6277580028 6664779846 6881520654 6937926561 7802669088 8122450608 8222727776 8370106704 8886373128 9175360872 9250568748 9997169769 10322280981 10918704096 11848497504 12233814496 12334091664 12555160056 13329559692 13763041308 13875853122 15674574823 16244901216 16740213408 17772746256 18350721744 18501137496 19994339538 20644561962 20813779683 24668183328 25110320112 26659119384 27526082616 27751706244 30966842943 31349149646 35545492512 36701443488 37002274992 39988679076 41289123924 41627559366 47023724469 50220640224 53318238768 55052165232 55503412488 61933685886 62698299292 74004549984 79977358152 82578247848 83255118732 94047448938 106636477536 110104330464 111006824976 123867371772 125396598584 141071173407 159954716304 165156495696 166510237464 188094897876 222013649952 247734743544 250793197168 282142346814 319909432608 330312991392 333020474928 376189795752 423213520221 495469487088 501586394336 564284693628 666040949856 752379591504 846427040442 990938974176 1128569387256 1269640560663 1504759183008 1692854080884 2257138774512 2539281121326 3385708161768 4514277549024 5078562242652 6771416323536 10157124485304 13542832647072 20314248970608 40628497941216
- Sum of all divisors σ(n): 125575969559040
- Sum of proper divisors (its aliquot sum) s(n): 84947471617824
- 40628497941216 is an abundant number, because the sum of its proper divisors (84947471617824) is greater than itself. Its abundance is 44318973676608
Bases of 40628497941216
- Binary: 10010011110011100011110011000000000010111000002
- Hexadecimal: 0x24F38F3002E0
- Base-36: EEGH2OE00
Squares and roots of 40628497941216
- 40628497941216 squared (406284979412162) is 1650674844959392750591558656
- 40628497941216 cubed (406284979412163) is 67064439540049728362530696221404503965696
-
The
square root of 40628497941216 is 6374048.7871694237 -
The
cube root of 40628497941216 is 34377.7082967555
Scales and comparisons
How big is 40628497941216?- 40,628,497,941,216 seconds is equal to 1,291,860 years, 29 weeks, 1 day, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 40,628,497,941,216 would take you about three million, two hundred twenty-nine thousand, six hundred fifty-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 40628497941216 cubic inches would be around 2864.8 feet tall.
Recreational maths with 40628497941216
- 40628497941216 backwards is 61214979482604
- The number of decimal digits it has is: 14
- The sum of 40628497941216's digits is 63
- More coming soon!
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The information we have on file for 40628497941216 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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