3420041830400
3,420,041,830,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3420041830400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
3420041830400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 3420041830400:
213 × 52 × 13 × 17 × 19 × 41 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 41 × 97)See below for interesting mathematical facts about the number 3420041830400 from the Numbermatics database.
Names of 3420041830400
- Cardinal: 3420041830400 can be written as Three trillion, four hundred twenty billion, forty-one million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.4200418304 × 1012
Factors of 3420041830400
Divisors of 3420041830400
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 41 50 52 64 65 68 76 80 82 85 95 97 100 104 128 130 136 152 160 164 170 190 194 200 205 208 221 247 256 260 272 304 320 323 325 328 340 380 388 400 410 416 425 442 475 485 494 512 520 533 544 608 640 646 650 656 680 697 760 776 779 800 820 832 850 884 950 970 988 1024 1025 1040 1066 1088 1105 1216 1235 1261 1280 1292 1300 1312 1360 1394 1520 1552 1558 1600 1615 1640 1649 1664 1700 1768 1843 1900 1940 1976 2048 2050 2080 2132 2176 2210 2425 2432 2470 2522 2560 2584 2600 2624 2665 2720 2788 3040 3104 3116 3200 3230 3280 3298 3328 3400 3485 3536 3686 3800 3880 3895 3952 3977 4096 4100 4160 4199 4264 4352 4420 4850 4864 4940 5044 5120 5168 5200 5248 5330 5440 5525 5576 6080 6175 6208 6232 6305 6400 6460 6560 6596 6656 6800 6970 7072 7372 7600 7760 7790 7904 7954 8075 8192 8200 8245 8320 8398 8528 8704 8840 9061 9215 9700 9728 9880 10088 10127 10240 10336 10400 10496 10660 10880 11050 11152 12160 12350 12416 12464 12610 12800 12920 13120 13192 13243 13312 13325 13600 13940 14144 14744 15200 15520 15580 15808 15908 16150 16400 16490 16640 16796 17056 17408 17425 17680 18122 18430 19400 19456 19475 19760 19885 20176 20254 20480 20672 20800 20992 20995 21320 21437 21760 22100 22304 23959 24320 24700 24832 24928 25220 25600 25840 26240 26384 26486 26624 26650 27200 27880 28288 29488 30400 31040 31160 31331 31525 31616 31816 32300 32800 32980 33280 33592 34112 34816 34850 35360 36244 36860 38800 38912 38950 39520 39770 40352 40508 40960 41225 41344 41600 41984 41990 42640 42874 43520 44200 44608 45305 46075 47918 48640 49400 49664 49856 50440 50635 51200 51680 51701 52480 52768 52972 53248 53300 54400 55760 56576 58976 60800 62080 62320 62662 63050 63232 63632 64600 65600 65960 66215 66560 67184 67609 68224 69632 69700 70720 72488 73720 75563 77600 77824 77900 79040 79540 80704 81016 82450 82688 83200 83968 83980 85280 85748 87040 88400 89216 90610 92150 95836 97280 98800 99328 99425 99712 100880 101270 102400 103360 103402 104960 104975 105536 105944 106496 106600 107185 108800 111520 113152 117952 119795 121600 124160 124640 125324 126100 126464 127264 129200 131200 131920 132430 133120 134368 135218 136448 139264 139400 141440 144976 147440 151126 155200 155648 155800 156655 158080 159080 161408 162032 164900 165376 166400 167936 167960 170560 171496 172159 174080 176800 178432 181220 184300 191672 194560 197600 198656 198850 199424 201760 202540 204800 206720 206804 209920 209950 211072 211888 213200 214370 217600 223040 226304 226525 235904 239590 243200 248320 249280 250648 252200 252928 253175 254528 258400 258505 262400 263840 264860 266240 268736 270436 272896 278800 282880 289952 294880 302252 310400 311600 313310 316160 318160 322816 324064 329800 330752 331075 332800 335872 335920 338045 341120 342992 344318 348160 353600 356864 362440 368600 377815 383344 389120 395200 397312 397700 398848 403520 405080 407303 413440 413608 419840 419900 422144 423776 426400 428740 435200 446080 452608 453050 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245340160 251473664 256663552 256914200 258252800 259251200 260673920 264709120 267190768 271216640 274393600 275454400 276926464 281253440 306675200 309506048 314342080 320829440 325842400 328850176 330886400 333988460 337715200 339020800 346158080 351566800 352581632 371138560 377446400 386882560 392927600 401036800 407244800 411062720 414801920 417078272 417485575 423534592 429977600 432697600 439029760 440727040 450005504 463923200 483603200 490680320 502947328 513828400 518502400 521347840 529418240 534381536 542433280 548787200 550908800 553852928 562506880 613350400 619012096 628684160 641658880 651684800 657700352 661772800 667976920 678041600 692316160 703133600 705163264 773765120 785855200 802073600 814489600 822125440 834156544 834971150 859955200 865395200 878059520 881454080 900011008 927846400 967206400 981360640 1005894656 1027656800 1037004800 1042695680 1058836480 1068763072 1097574400 1101817600 1125013760 1226700800 1257368320 1283317760 1303369600 1315400704 1323545600 1335953840 1356083200 1384632320 1406267200 1410326528 1547530240 1571710400 1604147200 1644250880 1668313088 1669942300 1730790400 1762908160 1800022016 1855692800 1934412800 2011789312 2055313600 2074009600 2085391360 2117672960 2137526144 2195148800 2203635200 2250027520 2453401600 2514736640 2606739200 2630801408 2647091200 2671907680 2712166400 2769264640 2812534400 3095060480 3143420800 3208294400 3288501760 3336626176 3339884600 3461580800 3525816320 3600044032 3868825600 4023578624 4110627200 4170782720 4275052288 4390297600 4407270400 4500055040 4906803200 5029473280 5213478400 5261602816 5294182400 5343815360 5625068800 6286841600 6416588800 6577003520 6679769200 6923161600 7051632640 7200088064 7737651200 8047157248 8221254400 8341565440 8550104576 8814540800 9000110080 10058946560 10426956800 10523205632 10588364800 10687630720 11250137600 12573683200 13154007040 13359538400 13846323200 15475302400 16442508800 16683130880 17100209152 17629081600 18000220160 20117893120 20853913600 21375261440 22500275200 25147366400 26308014080 26719076800 32885017600 34200418304 35258163200 36000440320 40235786240 41707827200 42750522880 45000550400 50294732800 52616028160 53438153600 65770035200 68400836608 83415654400 85501045760 90001100800 100589465600 106876307200 131540070400 136801673216 171002091520 180002201600 201178931200 213752614400 263080140800 342004183040 427505228800 684008366080 855010457600 1710020915200 3420041830400
- Sum of all divisors σ(n): 10535642550720
- Sum of proper divisors (its aliquot sum) s(n): 7115600720320
- 3420041830400 is an abundant number, because the sum of its proper divisors (7115600720320) is greater than itself. Its abundance is 3695558889920
Bases of 3420041830400
- Binary: 1100011100010010100110000011100000000000002
- Hexadecimal: 0x31C4A60E000
- Base-36: 17N58LPFK
Squares and roots of 3420041830400
- 3420041830400 squared (34200418304002) is 11696686121685782364160000
- 3420041830400 cubed (34200418304003) is 40003155813224520250377805758464000000
-
The
square root of 3420041830400 is 1849335.5105010017 -
The
cube root of 3420041830400 is 15066.4339717457
Scales and comparisons
How big is 3420041830400?- 3,420,041,830,400 seconds is equal to 108,746 years, 39 weeks, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 3,420,041,830,400 would take you about two hundred seventy-one thousand, eight hundred sixty-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 3420041830400 cubic inches would be around 1255.5 feet tall.
Recreational maths with 3420041830400
- 3420041830400 backwards is 0040381400243
- The number of decimal digits it has is: 13
- The sum of 3420041830400's digits is 29
- More coming soon!
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The information we have on file for 3420041830400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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