135443270400
135,443,270,400 is an even composite number composed of seven prime numbers multiplied together.
135443270400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135443270400:
28 × 3 × 52 × 17 × 29 × 41 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 29 × 41 × 349)See below for interesting mathematical facts about the number 135443270400 from the Numbermatics database.
Names of 135443270400
- Cardinal: 135443270400 can be written as One hundred thirty-five billion, four hundred forty-three million, two hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.354432704 × 1011
Factors of 135443270400
Divisors of 135443270400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 41 48 50 51 58 60 64 68 75 80 82 85 87 96 100 102 116 120 123 128 136 145 150 160 164 170 174 192 200 204 205 232 240 246 255 256 272 290 300 320 328 340 348 349 384 400 408 410 425 435 464 480 492 493 510 544 580 600 615 640 656 680 696 697 698 725 768 800 816 820 850 870 928 960 984 986 1020 1025 1047 1088 1160 1189 1200 1230 1275 1280 1312 1360 1392 1394 1396 1450 1479 1600 1632 1640 1700 1740 1745 1856 1920 1968 1972 2040 2050 2091 2094 2175 2176 2320 2378 2400 2460 2465 2550 2624 2720 2784 2788 2792 2900 2958 3075 3200 3264 3280 3400 3480 3485 3490 3567 3712 3840 3936 3944 4080 4100 4182 4188 4350 4352 4640 4756 4800 4920 4930 5100 5235 5248 5440 5568 5576 5584 5800 5916 5933 5945 6150 6400 6528 6560 6800 6960 6970 6980 7134 7395 7424 7872 7888 8160 8200 8364 8376 8700 8725 9280 9512 9600 9840 9860 10121 10200 10455 10470 10496 10880 11136 11152 11168 11600 11832 11866 11890 12300 12325 13056 13120 13600 13920 13940 13960 14268 14309 14790 15744 15776 16320 16400 16728 16752 17400 17425 17450 17799 17835 18560 19024 19200 19680 19720 20213 20242 20400 20910 20940 21760 22272 22304 22336 23200 23664 23732 23780 24600 24650 26175 26240 27200 27840 27880 27920 28536 28618 29580 29665 29725 30363 31488 31552 32640 32800 33456 33504 34800 34850 34900 35598 35670 36975 37120 38048 39360 39440 40426 40484 40800 41820 41880 42927 44608 44672 46400 47328 47464 47560 49200 49300 50605 52275 52350 52480 54400 55680 55760 55840 57072 57236 59160 59330 59450 60639 60726 63104 65280 65600 66912 67008 69600 69700 69800 71196 71340 71545 73950 76096 78720 78880 80852 80968 81600 83640 83760 85854 88995 89175 89216 89344 92800 94656 94928 95120 98400 98600 101065 101210 104550 104700 108800 111360 111520 111680 114144 114472 118320 118660 118900 121278 121452 126208 131200 133824 134016 139200 139400 139600 142392 142680 143090 147900 148325 151815 152192 157440 157760 161704 161936 163200 167280 167520 171708 172057 177990 178350 178432 185600 189312 189856 190240 196800 197200 202130 202420 209100 209400 214635 223040 223360 228288 228944 236640 237320 237800 242556 242904 243253 253025 262400 267648 268032 278400 278800 279200 284784 285360 286180 295800 296650 303195 303630 304384 315520 323408 323872 326400 334560 335040 343416 344114 355980 356700 357725 378624 379712 380480 393600 394400 404260 404840 414961 418200 418800 429270 444975 446080 446720 456576 457888 473280 474640 475600 485112 485808 486506 505325 506050 516171 535296 556800 557600 558400 569568 570720 572360 591600 593300 606390 607260 631040 646816 647744 669120 670080 686832 688228 711960 713400 715450 729759 759075 759424 760960 787200 788800 808520 809680 829922 836400 837600 858540 860285 889950 892160 913152 915776 946560 949280 951200 970224 971616 973012 1010650 1012100 1032342 1073175 1115200 1116800 1139136 1141440 1144720 1183200 1186600 1212780 1214520 1216265 1244883 1293632 1295488 1338240 1340160 1373664 1376456 1423920 1426800 1430900 1459518 1515975 1518150 1518848 1521920 1577600 1617040 1619360 1659844 1672800 1675200 1717080 1720570 1779900 1831552 1893120 1898560 1902400 1940448 1943232 1946024 2021300 2024200 2064684 2074805 2146350 2230400 2233600 2278272 2282880 2289440 2366400 2373200 2425560 2429040 2432530 2489766 2580855 2587264 2590976 2676480 2747328 2752912 2847840 2853600 2861800 2919036 3031950 3036300 3155200 3234080 3238720 3319688 3345600 3350400 3434160 3441140 3559800 3648795 3663104 3797120 3804800 3880896 3886464 3892048 4042600 4048400 4129368 4149610 4292700 4301425 4460800 4556544 4565760 4578880 4732800 4746400 4851120 4858080 4865060 4979532 5161710 5174528 5494656 5505824 5695680 5707200 5723600 5838072 6063900 6072600 6081325 6224415 6468160 6477440 6639376 6691200 6700800 6868320 6882280 7054337 7119600 7297590 7594240 7609600 7761792 7772928 7784096 8085200 8096800 8258736 8299220 8585400 8602850 9157760 9465600 9492800 9702240 9716160 9730120 9959064 10323420 10374025 10989312 11011648 11391360 11414400 11447200 11676144 12127800 12145200 12162650 12448830 12904275 12936320 12954880 13278752 13382400 13736640 13764560 14108674 14239200 14595180 15523584 15568192 16170400 16193600 16517472 16598440 17170800 17205700 18243975 18315520 18985600 19404480 19432320 19460240 19918128 20646840 20748050 21163011 22023296 22782720 22828800 22894400 23352288 24255600 24290400 24325300 24897660 25808550 25872640 26557504 27473280 27529120 28217348 28478400 29190360 31122075 31136384 32340800 32387200 33034944 33196880 34341600 34411400 35271685 36487950 37971200 38808960 38864640 38920480 39836256 41293680 41496100 42326022 44046592 45788800 46704576 48511200 48580800 48650600 49795320 51617100 53115008 54946560 55058240 56434696 56956800 58380720 62244150 62272768 64681600 64774400 66069888 66393760 68683200 68822800 70543370 72975900 77617920 77840960 79672512 82587360 82992200 84652044 91577600 93409152 97022400 97161600 97301200 99590640 103234200 105815055 106230016 110116480 112869392 113913600 116761440 124488300 129363200 132139776 132787520 137366400 137645600 141086740 145951800 155681920 159345024 165174720 165984400 169304088 176358425 186818304 194044800 194323200 194602400 199181280 206468400 211630110 220232960 225738784 233522880 248976600 265575040 274732800 275291200 282173480 291903600 311363840 318690048 330349440 331968800 338608176 352716850 388089600 389204800 398362560 412936800 423260220 451477568 467045760 497953200 529075275 531150080 550582400 564346960 583807200 660698880 663937600 677216352 705433700 778409600 796725120 825873600 846520440 902955136 934091520 995906400 1058150550 1101164800 1128693920 1167614400 1327875200 1354432704 1410867400 1556819200 1593450240 1651747200 1693040880 1805910272 1991812800 2116301100 2257387840 2335228800 2655750400 2708865408 2821734800 3303494400 3386081760 3983625600 4232602200 4514775680 4670457600 5417730816 5643469600 6772163520 7967251200 8465204400 9029551360 11286939200 13544327040 16930408800 22573878400 27088654080 33860817600 45147756800 67721635200 135443270400
- Sum of all divisors σ(n): 502983432000
- Sum of proper divisors (its aliquot sum) s(n): 367540161600
- 135443270400 is an abundant number, because the sum of its proper divisors (367540161600) is greater than itself. Its abundance is 232096891200
Bases of 135443270400
- Binary: 11111100010010000110001001011000000002
- Hexadecimal: 0x1F890C4B00
- Base-36: 1Q7ZFCAO
Squares and roots of 135443270400
- 135443270400 squared (1354432704002) is 18344879496647516160000
- 135443270400 cubed (1354432704003) is 2484690474119845424747249664000000
-
The
square root of 135443270400 is 368026.1816773367 -
The
cube root of 135443270400 is 5135.5363853993
Scales and comparisons
How big is 135443270400?- 135,443,270,400 seconds is equal to 4,306 years, 35 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 135,443,270,400 would take you about eight thousand, six hundred thirteen 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 135443270400 cubic inches would be around 428 feet tall.
Recreational maths with 135443270400
- 135443270400 backwards is 004072344531
- The number of decimal digits it has is: 12
- The sum of 135443270400's digits is 33
- More coming soon!
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