40942098432
40,942,098,432 is an even composite number composed of five prime numbers multiplied together.
What does the number 40942098432 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
40942098432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40942098432:
211 × 33 × 43 × 67 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 43 × 67 × 257)See below for interesting mathematical facts about the number 40942098432 from the Numbermatics database.
Names of 40942098432
- Cardinal: 40942098432 can be written as Forty billion, nine hundred forty-two million, ninety-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.0942098432 × 1010
Factors of 40942098432
Divisors of 40942098432
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 67 72 86 96 108 128 129 134 144 172 192 201 216 256 257 258 268 288 344 384 387 402 432 512 514 516 536 576 603 688 768 771 774 804 864 1024 1028 1032 1072 1152 1161 1206 1376 1536 1542 1548 1608 1728 1809 2048 2056 2064 2144 2304 2313 2322 2412 2752 2881 3072 3084 3096 3216 3456 3618 4112 4128 4288 4608 4626 4644 4824 5504 5762 6144 6168 6192 6432 6912 6939 7236 8224 8256 8576 8643 9216 9252 9288 9648 11008 11051 11524 12336 12384 12864 13824 13878 14472 16448 16512 17152 17219 17286 18432 18504 18576 19296 22016 22102 23048 24672 24768 25728 25929 27648 27756 28944 32896 33024 33153 34304 34438 34572 37008 37152 38592 44032 44204 46096 49344 49536 51456 51657 51858 55296 55512 57888 65792 66048 66306 68608 68876 69144 74016 74304 77184 77787 88064 88408 92192 98688 99072 99459 102912 103314 103716 111024 115776 131584 132096 132612 137216 137752 138288 148032 148608 154368 154971 155574 176816 184384 197376 198144 198918 205824 206628 207432 222048 231552 263168 264192 265224 275504 276576 296064 297216 298377 308736 309942 311148 353632 368768 394752 396288 397836 411648 413256 414864 444096 463104 464913 526336 530448 551008 553152 592128 594432 596754 617472 619884 622296 707264 737536 740417 789504 792576 795672 826512 829728 888192 926208 929826 1060896 1102016 1106304 1184256 1188864 1193508 1234944 1239768 1244592 1414528 1475072 1480834 1579008 1591344 1653024 1659456 1776384 1852416 1859652 2121792 2204032 2212608 2221251 2368512 2377728 2387016 2479536 2489184 2829056 2950144 2961668 3182688 3306048 3318912 3552768 3704832 3719304 4243584 4408064 4425216 4442502 4737024 4774032 4959072 4978368 5658112 5900288 5923336 6365376 6612096 6637824 6663753 7105536 7438608 8487168 8816128 8850432 8885004 9548064 9918144 9956736 11316224 11846672 12730752 13224192 13275648 13327506 14211072 14877216 16974336 17632256 17700864 17770008 19096128 19836288 19913472 19991259 22632448 23693344 25461504 26448384 26551296 26655012 29754432 33948672 35264512 35540016 38192256 39672576 39826944 39982518 47386688 50923008 52896768 53102592 53310024 59508864 67897344 71080032 76384512 79345152 79653888 79965036 94773376 101846016 105793536 106620048 119017728 142160064 152769024 158690304 159307776 159930072 189546752 203692032 213240096 238035456 284320128 305538048 317380608 319860144 379093504 426480192 476070912 568640256 611076096 639720288 758187008 852960384 952141824 1137280512 1279440576 1516374016 1705920768 2274561024 2558881152 3411841536 4549122048 5117762304 6823683072 10235524608 13647366144 20471049216 40942098432
- Sum of all divisors σ(n): 126443116800
- Sum of proper divisors (its aliquot sum) s(n): 85501018368
- 40942098432 is an abundant number, because the sum of its proper divisors (85501018368) is greater than itself. Its abundance is 44558919936
Bases of 40942098432
- Binary: 1001100010000101011011011000000000002
- Hexadecimal: 0x98856D800
- Base-36: IT3V9C0
Squares and roots of 40942098432
- 40942098432 squared (409420984322) is 1676255424015576858624
- 40942098432 cubed (409420984323) is 68629414567219644447045156077568
-
The
square root of 40942098432 is 202341.5390669943 -
The
cube root of 40942098432 is 3446.5932465099
Scales and comparisons
How big is 40942098432?- 40,942,098,432 seconds is equal to 1,301 years, 43 weeks, 1 day, 21 hours, 7 minutes, 12 seconds.
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To count from 1 to 40,942,098,432 would take you about two thousand, six hundred three 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 40942098432 cubic inches would be around 287.2 feet tall.
Recreational maths with 40942098432
- 40942098432 backwards is 23489024904
- The number of decimal digits it has is: 11
- The sum of 40942098432's digits is 45
- More coming soon!
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