135573830400
135,573,830,400 is an even composite number composed of six prime numbers multiplied together.
135573830400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 135573830400:
28 × 3 × 52 × 172 × 53 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 53 × 461)See below for interesting mathematical facts about the number 135573830400 from the Numbermatics database.
Names of 135573830400
- Cardinal: 135573830400 can be written as One hundred thirty-five billion, five hundred seventy-three million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.355738304 × 1011
Factors of 135573830400
Divisors of 135573830400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 53 60 64 68 75 80 85 96 100 102 106 120 128 136 150 159 160 170 192 200 204 212 240 255 256 265 272 289 300 318 320 340 384 400 408 424 425 461 480 510 530 544 578 600 636 640 680 768 795 800 816 848 850 867 901 922 960 1020 1060 1088 1156 1200 1272 1275 1280 1325 1360 1383 1445 1590 1600 1632 1696 1700 1734 1802 1844 1920 2040 2120 2176 2305 2312 2400 2544 2550 2650 2703 2720 2766 2890 3180 3200 3264 3392 3400 3468 3604 3688 3840 3975 4080 4240 4335 4352 4505 4610 4624 4800 5088 5100 5300 5406 5440 5532 5780 6360 6400 6528 6784 6800 6915 6936 7208 7225 7376 7837 7950 8160 8480 8670 9010 9220 9248 9600 10176 10200 10600 10812 10880 11064 11525 11560 12720 13056 13515 13568 13600 13830 13872 14416 14450 14752 15317 15674 15900 16320 16960 17340 18020 18440 18496 19200 20352 20400 21200 21624 21675 21760 22128 22525 23050 23120 23511 24433 25440 27030 27200 27660 27744 28832 28900 29504 30634 31348 31800 32640 33920 34575 34680 36040 36880 36992 39185 40704 40800 42400 43248 43350 44256 45050 45951 46100 46240 47022 48866 50880 54060 54400 55320 55488 57664 57800 59008 61268 62696 63600 65280 67575 67840 69150 69360 72080 73299 73760 73984 76585 78370 81600 84800 86496 86700 88512 90100 91902 92200 92480 94044 97732 101760 108120 108800 110640 110976 115328 115600 117555 118016 122165 122536 125392 127200 133229 135150 138300 138720 144160 146598 147520 153170 156740 163200 169600 172992 173400 177024 180200 183804 184400 184960 188088 195464 195925 203520 216240 221280 221952 229755 230656 231200 235110 244330 245072 250784 254400 266458 270300 276600 277440 288320 293196 295040 306340 313480 326400 339200 345984 346800 354048 360400 366495 367608 368800 369920 376176 382925 390928 391850 399687 415361 432480 442560 459510 462400 470220 488660 490144 501568 508800 532916 540600 553200 554880 576640 586392 587775 590080 610825 612680 626960 666145 691968 693600 720800 732990 735216 737600 752352 765850 781856 783700 799374 830722 864960 885120 919020 924800 940440 977320 980288 1003136 1017600 1065832 1081200 1106400 1109760 1148775 1153280 1172784 1175550 1221650 1225360 1246083 1253920 1332290 1387200 1441600 1465980 1470432 1475200 1504704 1531700 1563712 1567400 1598748 1661444 1729920 1770240 1832475 1838040 1849600 1880880 1954640 1960576 1998435 2006272 2076805 2131664 2162400 2212800 2297550 2345568 2351100 2443300 2450720 2492166 2507840 2664580 2774400 2883200 2931960 2940864 2950400 3009408 3063400 3127424 3134800 3197496 3322888 3330725 3459840 3664950 3676080 3761760 3909280 3921152 3996870 4153610 4263328 4324800 4425600 4595100 4691136 4702200 4886600 4901440 4984332 5015680 5329160 5548800 5766400 5863920 5881728 6018816 6126800 6230415 6254848 6269600 6394992 6645776 6661450 7061137 7329900 7352160 7523520 7818560 7993740 8307220 8526656 8649600 8851200 9190200 9382272 9404400 9773200 9802880 9968664 9992175 10031360 10384025 10658320 11727840 11763456 12253600 12460830 12539200 12789984 13291552 13322900 14122274 14659800 14704320 15047040 15637120 15987480 16614440 17053312 17299200 18380400 18764544 18808800 19546400 19605760 19937328 19984350 20768050 21183411 21316640 23455680 24507200 24921660 25078400 25579968 26583104 26645800 28244548 29319600 29408640 30094080 31152075 31274240 31974960 33228880 34106624 35305685 36760800 37617600 39092800 39874656 39968700 41536100 42366822 42633280 46911360 49014400 49843320 50156800 51159936 53166208 53291600 56489096 58639200 58817280 62304150 63949920 66457760 70611370 73521600 75235200 78185600 79749312 79937400 83072200 84733644 85266560 93822720 98028800 99686640 102319872 105917055 106332416 106583200 112978192 117278400 124608300 127899840 132915520 141222740 147043200 150470400 156371200 159498624 159874800 166144400 169467288 170533120 176528425 199373280 211834110 213166400 225956384 234556800 249216600 255799680 265831040 282445480 294086400 318997248 319749600 332288800 338934576 353056850 398746560 423668220 426332800 451912768 469113600 498433200 511599360 529585275 531662080 564890960 639499200 664577600 677869152 706113700 797493120 847336440 852665600 903825536 996866400 1059170550 1129781920 1278998400 1329155200 1355738304 1412227400 1594986240 1694672880 1807651072 1993732800 2118341100 2259563840 2557996800 2658310400 2711476608 2824454800 3389345760 3987465600 4236682200 4519127680 5422953216 5648909600 6778691520 7974931200 8473364400 9038255360 11297819200 13557383040 16946728800 22595638400 27114766080 33893457600 45191276800 67786915200 135573830400
- Sum of all divisors σ(n): 485307157104
- Sum of proper divisors (its aliquot sum) s(n): 349733326704
- 135573830400 is an abundant number, because the sum of its proper divisors (349733326704) is greater than itself. Its abundance is 214159496304
Bases of 135573830400
- Binary: 11111100100001101010001111011000000002
- Hexadecimal: 0x1F90D47B00
- Base-36: 1QA55P1C
Squares and roots of 135573830400
- 135573830400 squared (1355738304002) is 18380263489327964160000
- 135573830400 cubed (1355738304003) is 2491882725009461623005118464000000
-
The
square root of 135573830400 is 368203.5176366461 -
The
cube root of 135573830400 is 5137.1859820737
Scales and comparisons
How big is 135573830400?- 135,573,830,400 seconds is equal to 4,310 years, 43 weeks, 13 hours, 20 minutes.
-
To count from 1 to 135,573,830,400 would take you about eight thousand, six hundred twenty-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 135573830400 cubic inches would be around 428.1 feet tall.
Recreational maths with 135573830400
- 135573830400 backwards is 004038375531
- The number of decimal digits it has is: 12
- The sum of 135573830400's digits is 39
- More coming soon!
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