146468039400
146,468,039,400 is an even composite number composed of six prime numbers multiplied together.
146468039400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 146468039400:
23 × 34 × 52 × 61 × 103 × 1439
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 61 × 103 × 1439)See below for interesting mathematical facts about the number 146468039400 from the Numbermatics database.
Names of 146468039400
- Cardinal: 146468039400 can be written as One hundred forty-six billion, four hundred sixty-eight million, thirty-nine thousand, four hundred.
Scientific notation
- Scientific notation: 1.464680394 × 1011
Factors of 146468039400
Divisors of 146468039400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 61 72 75 81 90 100 103 108 120 122 135 150 162 180 183 200 206 216 225 244 270 300 305 309 324 360 366 405 412 450 488 515 540 549 600 610 618 648 675 732 810 824 900 915 927 1030 1080 1098 1220 1236 1350 1439 1464 1525 1545 1620 1647 1800 1830 1854 2025 2060 2196 2440 2472 2575 2700 2745 2781 2878 3050 3090 3240 3294 3660 3708 4050 4120 4317 4392 4575 4635 4941 5150 5400 5490 5562 5756 6100 6180 6283 6588 7195 7320 7416 7725 8100 8235 8343 8634 9150 9270 9882 10300 10980 11124 11512 12200 12360 12566 12951 13176 13725 13905 14390 15450 16200 16470 16686 17268 18300 18540 18849 19764 20600 21585 21960 22248 23175 24705 25132 25902 27450 27810 28780 30900 31415 32940 33372 34536 35975 36600 37080 37698 38853 39528 41175 41715 43170 46350 49410 50264 51804 54900 55620 56547 57560 61800 62830 64755 65880 66744 69525 71950 75396 77706 82350 83430 86340 87779 92700 94245 98820 103608 107925 109800 111240 113094 116559 123525 125660 129510 139050 143900 148217 150792 155412 157075 164700 166860 169641 172680 175558 185400 188490 194265 197640 208575 215850 226188 233118 247050 251320 259020 263337 278100 282735 287800 296434 310824 314150 323775 329400 333720 339282 351116 376980 388530 417150 431700 438895 444651 452376 466236 471225 494100 508923 518040 526674 556200 565470 582795 592868 628300 647550 678564 702232 741085 753960 777060 790011 834300 848205 863400 877790 889302 932472 942450 971325 988200 1017846 1053348 1130940 1165590 1185736 1256600 1295100 1316685 1333953 1357128 1413675 1482170 1554120 1580022 1668600 1696410 1755580 1778604 1884900 1942650 2035692 2106696 2194475 2223255 2261880 2331180 2370033 2544615 2590200 2633370 2667906 2827350 2913975 2964340 3160044 3392820 3511160 3557208 3705425 3769800 3885300 3950055 4001859 4071384 4241025 4388950 4446510 4662360 4740066 5089230 5266740 5335812 5654700 5827950 5928680 6320088 6583425 6669765 6785640 7110099 7410850 7770600 7900110 8003718 8482050 8777900 8893020 9041237 9480132 10178460 10533480 10671624 11116275 11309400 11655900 11850165 12005577 12723075 13166850 13339530 14220198 14821700 15800220 16007436 16964100 17555800 17786040 18082474 18960264 19750275 20009295 20356920 22232550 23311800 23700330 24011154 25446150 26333700 26679060 27123711 28440396 29643400 31600440 32014872 33348825 33928200 35550495 36164948 39500550 40018590 44465100 45206185 47400660 48022308 50892300 52667400 53358120 54247422 56880792 59250825 60027885 66697650 71100990 72329896 79001100 80037180 81371133 88930200 90412370 94801320 96044616 100046475 101784600 108494844 118501650 120055770 133395300 135618555 142201980 158002200 160074360 162742266 177752475 180824740 200092950 216989688 226030925 237003300 240111540 244113399 266790600 271237110 284403960 300139425 325484532 355504950 361649480 400185900 406855665 452061850 474006600 480223080 488226798 542474220 600278850 650969064 678092775 711009900 732340197 800371800 813711330 904123700 976453596 1084948440 1200557700 1220566995 1356185550 1422019800 1464680394 1627422660 1808247400 1952907192 2034278325 2401115400 2441133990 2712371100 2929360788 3254845320 3661700985 4068556650 4882267980 5424742200 5858721576 6102834975 7323401970 8137113300 9764535960 12205669950 14646803940 16274226600 18308504925 24411339900 29293607880 36617009850 48822679800 73234019700 146468039400
- Sum of all divisors σ(n): 522427276800
- Sum of proper divisors (its aliquot sum) s(n): 375959237400
- 146468039400 is an abundant number, because the sum of its proper divisors (375959237400) is greater than itself. Its abundance is 229491198000
Bases of 146468039400
- Binary: 100010000110100010110011101010111010002
- Hexadecimal: 0x221A2CEAE8
- Base-36: 1VABAEI0
Squares and roots of 146468039400
- 146468039400 squared (1464680394002) is 21452886565679952360000
- 146468039400 cubed (1464680394003) is 3142162234745741950054602984000000
-
The
square root of 146468039400 is 382711.4309763951 -
The
cube root of 146468039400 is 5271.2581973773
Scales and comparisons
How big is 146468039400?- 146,468,039,400 seconds is equal to 4,657 years, 11 weeks, 6 days, 22 hours, 30 minutes.
-
To count from 1 to 146,468,039,400 would take you about nine thousand, three hundred fourteen 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 146468039400 cubic inches would be around 439.3 feet tall.
Recreational maths with 146468039400
- 146468039400 backwards is 004930864641
- 146468039400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146468039400's digits is 45
- More coming soon!
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