42249168400
42,249,168,400 is an even composite number composed of seven prime numbers multiplied together.
42249168400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42249168400:
24 × 52 × 17 × 31 × 43 × 59 × 79
(2 × 2 × 2 × 2 × 5 × 5 × 17 × 31 × 43 × 59 × 79)See below for interesting mathematical facts about the number 42249168400 from the Numbermatics database.
Names of 42249168400
- Cardinal: 42249168400 can be written as Forty-two billion, two hundred forty-nine million, one hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.22491684 × 1010
Factors of 42249168400
Divisors of 42249168400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 34 40 43 50 59 62 68 79 80 85 86 100 118 124 136 155 158 170 172 200 215 236 248 272 295 310 316 340 344 395 400 425 430 472 496 527 590 620 632 680 688 731 775 790 850 860 944 1003 1054 1075 1180 1240 1264 1333 1343 1360 1462 1475 1550 1580 1700 1720 1829 1975 2006 2108 2150 2360 2449 2480 2537 2635 2666 2686 2924 2950 3100 3160 3397 3400 3440 3655 3658 3950 4012 4216 4300 4661 4720 4898 5015 5074 5270 5332 5372 5848 5900 6200 6320 6665 6715 6794 6800 7310 7316 7900 8024 8432 8600 9145 9322 9796 10030 10148 10540 10664 10744 11696 11800 12245 12400 12685 13175 13330 13430 13588 14620 14632 15800 16048 16985 17200 18275 18290 18644 19592 20060 20296 21080 21328 21488 22661 23305 23600 24490 25075 25370 26350 26660 26860 27176 29240 29264 31093 31600 33325 33575 33970 36550 36580 37288 39184 40120 40592 41633 42160 43129 45322 45725 46610 48980 50150 50740 52700 53320 53720 54352 57749 58480 61225 62186 63425 66650 67150 67940 73100 73160 74576 78647 79237 80240 83266 84925 86258 90644 91450 93220 97960 100300 101480 105307 105400 106640 107440 113305 115498 116525 122450 124372 126850 133300 134300 135880 144491 146200 146320 155465 157294 158474 166532 169850 172516 181288 182900 186440 195920 200423 200600 202960 208165 210614 210800 215645 226610 230996 233050 244900 248744 253700 266600 268600 271760 288745 288982 292400 310930 314588 316948 333064 339700 345032 362576 365800 372880 393235 396185 400846 401200 416330 421228 431290 453220 461992 466100 489800 497488 507400 526535 533200 537200 566525 577490 577964 621860 629176 633896 666128 679400 690064 722455 731600 777325 786470 792370 801692 832660 842456 862580 906440 923984 932200 979600 1002115 1014800 1040825 1053070 1078225 1133050 1154980 1155928 1243720 1258352 1267792 1336999 1358800 1443725 1444910 1554650 1572940 1584740 1603384 1665320 1684912 1725160 1790219 1812880 1864400 1966175 1980925 2004230 2081650 2106140 2156450 2266100 2309960 2311856 2456347 2487440 2632675 2673998 2887450 2889820 3109300 3145880 3169480 3206768 3330640 3407191 3450320 3580438 3612275 3932350 3961850 4008460 4163300 4212280 4312900 4532200 4619920 4912694 5010575 5265350 5347996 5774900 5779640 6213113 6218600 6291760 6338960 6684995 6814382 7160876 7224550 7864700 7923700 8016920 8326600 8424560 8625800 8951095 9064400 9825388 10021150 10530700 10695992 11549800 11559280 12281735 12426226 12437200 13369990 13628764 14321752 14449100 15729400 15847400 16033840 16653200 17035955 17251600 17902190 19650776 20042300 21061400 21391984 23099600 24563470 24852452 26739980 27257528 28643504 28898200 31065565 31458800 31694800 33424975 34071910 35804380 39301552 40084600 42122800 44755475 49126940 49704904 53479960 54515056 57796400 61408675 62131130 66849950 68143820 71608760 80169200 85179775 89510950 98253880 99409808 105622921 106959920 122817350 124262260 133699900 136287640 143217520 155327825 170359550 179021900 196507760 211245842 245634700 248524520 267399800 272575280 310655650 340719100 358043800 422491684 491269400 497049040 528114605 534799600 621311300 681438200 716087600 844983368 982538800 1056229210 1242622600 1362876400 1689966736 2112458420 2485245200 2640573025 4224916840 5281146050 8449833680 10562292100 21124584200 42249168400
- Sum of all divisors σ(n): 116906803200
- Sum of proper divisors (its aliquot sum) s(n): 74657634800
- 42249168400 is an abundant number, because the sum of its proper divisors (74657634800) is greater than itself. Its abundance is 32408466400
Bases of 42249168400
- Binary: 1001110101100011111100100110000100002
- Hexadecimal: 0x9D63F2610
- Base-36: JEQ2AZ4
Squares and roots of 42249168400
- 42249168400 squared (422491684002) is 1784992230491558560000
- 42249168400 cubed (422491684003) is 75414437338729472379901504000000
-
The
square root of 42249168400 is 205546.0250162965 -
The
cube root of 42249168400 is 3482.8870326051
Scales and comparisons
How big is 42249168400?- 42,249,168,400 seconds is equal to 1,343 years, 20 weeks, 3 days, 6 minutes, 40 seconds.
-
To count from 1 to 42,249,168,400 would take you about two thousand, six hundred eighty-six 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 42249168400 cubic inches would be around 290.2 feet tall.
Recreational maths with 42249168400
- 42249168400 backwards is 00486194224
- 42249168400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42249168400's digits is 40
- More coming soon!
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