133006070400
133,006,070,400 is an even composite number composed of six prime numbers multiplied together.
133006070400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 133006070400:
27 × 3 × 52 × 73 × 31 × 1303
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 31 × 1303)See below for interesting mathematical facts about the number 133006070400 from the Numbermatics database.
Names of 133006070400
- Cardinal: 133006070400 can be written as One hundred thirty-three billion, six million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.330060704 × 1011
Factors of 133006070400
Divisors of 133006070400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 128 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 280 294 300 310 320 336 343 350 372 384 392 400 420 434 448 465 480 490 496 525 560 588 600 620 640 651 672 686 700 735 744 775 784 800 840 868 896 930 960 980 992 1029 1050 1085 1120 1176 1200 1225 1240 1302 1303 1344 1372 1400 1470 1488 1519 1550 1568 1600 1680 1715 1736 1860 1920 1960 1984 2058 2100 2170 2240 2325 2352 2400 2450 2480 2604 2606 2688 2744 2800 2940 2976 3038 3100 3136 3200 3255 3360 3430 3472 3675 3720 3909 3920 3968 4116 4200 4340 4480 4557 4650 4704 4800 4900 4960 5145 5208 5212 5425 5488 5600 5880 5952 6076 6200 6272 6510 6515 6720 6860 6944 7350 7440 7595 7818 7840 8232 8400 8575 8680 9114 9121 9300 9408 9600 9800 9920 10290 10416 10424 10633 10850 10976 11200 11760 11904 12152 12400 13020 13030 13440 13720 13888 14700 14880 15190 15636 15680 16275 16464 16800 17150 17360 18228 18242 18600 18816 19545 19600 19840 20580 20832 20848 21266 21700 21952 22400 22785 23520 24304 24800 25725 26040 26060 27363 27440 27776 29400 29760 30380 31272 31360 31899 32550 32575 32928 33600 34300 34720 36456 36484 37200 37975 39090 39200 40393 41160 41664 41696 42532 43400 43904 45570 45605 47040 48608 49600 51450 52080 52120 53165 54726 54880 58800 59520 60760 62544 63798 63847 65100 65150 65856 67200 68600 69440 72912 72968 74400 75950 78180 78400 80786 82320 83328 83392 85064 86800 91140 91210 94080 97216 97725 99200 102900 104160 104240 106330 109452 109760 113925 117600 121179 121520 125088 127596 127694 130200 130300 131712 136815 137200 138880 145824 145936 148800 151900 156360 156800 159495 161572 164640 166784 170128 173600 182280 182420 191541 194432 195450 201965 205800 208320 208480 212660 218904 219520 227850 228025 235200 242358 243040 250176 255192 255388 260400 260600 265825 273630 274400 282751 291648 291872 297600 303800 312720 318990 319235 323144 329280 340256 347200 364560 364840 383082 390900 403930 411600 416640 416960 425320 437808 446929 455700 456050 470400 484716 486080 500352 510384 510776 520800 521200 531650 547260 548800 565502 583296 583744 605895 607600 625440 637980 638470 646288 658560 680512 684075 694400 729120 729680 766164 781800 797475 807860 823200 833920 848253 850640 875616 893858 911400 912100 957705 969432 972160 1009825 1020768 1021552 1041600 1042400 1063300 1094520 1097600 1131004 1167488 1211790 1215200 1250880 1275960 1276940 1292576 1340787 1361024 1368150 1413755 1458240 1459360 1532328 1563600 1594950 1596175 1615720 1646400 1696506 1701280 1751232 1787716 1822800 1824200 1915410 1938864 1979257 2019650 2041536 2043104 2083200 2084800 2126600 2189040 2234645 2262008 2423580 2430400 2501760 2551920 2553880 2585152 2681574 2736300 2827510 2916480 2918720 3029475 3064656 3127200 3189900 3192350 3231440 3292800 3393012 3402560 3502464 3575432 3645600 3648400 3830820 3877728 3958514 4039300 4083072 4086208 4169600 4241265 4253200 4378080 4469290 4524016 4788525 4847160 4860800 5103840 5107760 5170304 5363148 5472600 5655020 5837440 5937771 6058950 6129312 6254400 6379800 6384700 6462880 6703935 6786024 6805120 7068775 7150864 7291200 7296800 7661640 7755456 7917028 8078600 8172416 8482530 8506400 8756160 8938580 9048032 9577050 9694320 9896285 10207680 10215520 10726296 10945200 11173225 11310040 11875542 12117900 12258624 12508800 12759600 12769400 12925760 13407870 13572048 13854799 14137550 14301728 14582400 14593600 15323280 15510912 15834056 16157200 16965060 17012800 17512320 17877160 18096064 19154100 19388640 19792570 20415360 20431040 21206325 21452592 21890400 22346450 22620080 23751084 24235800 24517248 25519200 25538800 25851520 26815740 27144096 27709598 28275100 28603456 29187200 29688855 30646560 31668112 32314400 33519675 33930120 34025600 35754320 36192128 38308200 38777280 39585140 40862080 41564397 42412650 42905184 43780800 44692900 45240160 47502168 48471600 49481425 51038400 51077600 53631480 54288192 55419196 56550200 57206912 59377710 61293120 63336224 64628800 67039350 67860240 69273995 71508640 76616400 77554560 79170280 83128794 84825300 85810368 87561600 89385800 90480320 95004336 96943200 98962850 102076800 102155200 107262960 108576384 110838392 113100400 118755420 122586240 126672448 129257600 134078700 135720480 138547990 143017280 148444275 153232800 158340560 166257588 169650600 171620736 178771600 180960640 190008672 193886400 197925700 204310400 207821985 214525920 221676784 226200800 237510840 253344896 268157400 271440960 277095980 286034560 296888550 306465600 316681120 332515176 339301200 346369975 357543200 380017344 387772800 395851400 415643970 429051840 443353568 452401600 475021680 536314800 542881920 554191960 593777100 612931200 633362240 665030352 678602400 692739950 715086400 760034688 791702800 831287940 858103680 886707136 904803200 950043360 1039109925 1072629600 1108383920 1187554200 1266724480 1330060704 1357204800 1385479900 1430172800 1583405600 1662575880 1773414272 1900086720 2078219850 2145259200 2216767840 2375108400 2660121408 2714409600 2770959800 3166811200 3325151760 3800173440 4156439700 4290518400 4433535680 4750216800 5320242816 5541919600 6333622400 6650303520 8312879400 8867071360 9500433600 11083839200 13300607040 16625758800 19000867200 22167678400 26601214080 33251517600 44335356800 66503035200 133006070400
- Sum of all divisors σ(n): 527775744000
- Sum of proper divisors (its aliquot sum) s(n): 394769673600
- 133006070400 is an abundant number, because the sum of its proper divisors (394769673600) is greater than itself. Its abundance is 261763603200
Bases of 133006070400
- Binary: 11110111101111100011110010010100000002
- Hexadecimal: 0x1EF7C79280
- Base-36: 1P3ODOQO
Squares and roots of 133006070400
- 133006070400 squared (1330060704002) is 17690614763249756160000
- 133006070400 cubed (1330060704003) is 2352959152620076400599793664000000
-
The
square root of 133006070400 is 364699.9731285977 -
The
cube root of 133006070400 is 5104.5463803863
Scales and comparisons
How big is 133006070400?- 133,006,070,400 seconds is equal to 4,229 years, 9 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 133,006,070,400 would take you about eight thousand, four hundred fifty-eight 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 133006070400 cubic inches would be around 425.4 feet tall.
Recreational maths with 133006070400
- 133006070400 backwards is 004070600331
- 133006070400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 133006070400's digits is 24
- More coming soon!
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