3428354120400
3,428,354,120,400 is an even composite number composed of nine prime numbers multiplied together.
3428354120400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 3428354120400:
24 × 32 × 52 × 11 × 23 × 29 × 31 × 53 × 79
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 23 × 29 × 31 × 53 × 79)See below for interesting mathematical facts about the number 3428354120400 from the Numbermatics database.
Names of 3428354120400
- Cardinal: 3428354120400 can be written as Three trillion, four hundred twenty-eight billion, three hundred fifty-four million, one hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 3.4283541204 × 1012
Factors of 3428354120400
Divisors of 3428354120400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 29 30 31 33 36 40 44 45 46 48 50 53 55 58 60 62 66 69 72 75 79 80 87 88 90 92 93 99 100 106 110 115 116 120 124 132 138 144 145 150 155 158 159 165 174 176 180 184 186 198 200 207 212 220 225 230 232 237 240 248 253 261 264 265 275 276 279 290 300 310 316 318 319 330 341 345 348 360 368 372 395 396 400 414 424 435 440 450 460 464 465 474 477 495 496 506 522 528 530 550 552 558 575 580 583 600 620 632 636 638 660 667 682 690 696 711 713 720 725 744 759 775 790 792 795 825 828 848 869 870 880 899 900 920 930 948 954 957 990 1012 1023 1035 1044 1060 1100 1104 1116 1150 1160 1166 1185 1200 1219 1240 1264 1265 1272 1276 1305 1320 1325 1334 1364 1380 1392 1395 1422 1426 1450 1488 1518 1537 1550 1580 1584 1590 1595 1643 1650 1656 1705 1725 1738 1740 1749 1798 1800 1817 1840 1860 1896 1908 1914 1975 1980 2001 2024 2046 2070 2088 2120 2139 2175 2200 2232 2277 2291 2300 2320 2325 2332 2370 2385 2438 2449 2475 2480 2530 2544 2552 2607 2610 2640 2650 2668 2697 2728 2760 2790 2844 2852 2871 2900 2915 3036 3069 3074 3100 3160 3180 3190 3286 3300 3312 3335 3410 3450 3476 3480 3498 3555 3565 3596 3600 3634 3657 3720 3792 3795 3816 3828 3950 3960 3975 4002 4048 4092 4140 4176 4187 4240 4278 4345 4350 4400 4464 4495 4554 4582 4600 4611 4650 4664 4740 4770 4785 4876 4898 4929 4950 5060 5104 5115 5175 5214 5220 5247 5300 5336 5394 5451 5456 5520 5580 5688 5704 5742 5800 5830 5925 6003 6072 6095 6138 6148 6200 6320 6325 6360 6380 6417 6525 6572 6600 6670 6820 6873 6900 6952 6960 6975 6996 7110 7130 7192 7268 7314 7337 7347 7440 7590 7632 7656 7685 7821 7843 7900 7920 7950 7975 8004 8091 8184 8215 8280 8374 8525 8556 8690 8700 8745 8990 9085 9108 9164 9200 9222 9300 9328 9480 9540 9570 9752 9796 9858 9889 9900 10005 10120 10230 10350 10428 10440 10494 10600 10672 10695 10788 10902 10971 11160 11376 11385 11408 11455 11484 11600 11660 11850 11925 12006 12144 12190 12245 12276 12296 12400 12561 12650 12720 12760 12834 13035 13050 13144 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1886821200 1904641178 1906759800 1960179600 1970318460 1972585800 1987451664 2010764880 2070262150 2077790376 2086642800 2149438320 2156197560 2164364975 2169844380 2211841368 2230549200 2258467800 2304001425 2364382152 2404175400 2410938200 2457601520 2462898075 2484314580 2513456100 2569980600 2587437072 2597237970 2627091280 2686797900 2695246950 2710161360 2712305475 2764801710 2812431600 2856961767 2893125840 2940269400 2955477690 2981177496 3072001900 3105393225 3116685564 3234296340 3283864100 3312419440 3351274800 3387701700 3462983960 3582397200 3593662600 3616407300 3686402280 3726471870 3809282356 3813519600 3895856955 3940636920 3945171600 4042870425 4140524300 4155580752 4312395120 4328729950 4339688760 4423682736 4516935600 4608002850 4728764304 4761602945 4808350800 4821876400 4925796150 4968629160 5026912200 5139961200 5194475940 5373595800 5390493900 5424610950 5529603420 5713923534 5880538800 5910955380 5962354992 6144003800 6210786450 6233371128 6468592680 6493094925 6567728200 6775403400 6912004275 6925967920 7187325200 7232814600 7372804560 7388694225 7452943740 7618564712 7791713910 7881273840 8085740850 8281048600 8570885301 8657459900 8679377520 9216005700 9316179675 9523205890 9851592300 9937258320 10053824400 10388951880 10747191600 10780987800 10849221900 11059206840 11427847068 11821910760 12288007600 12421572900 12466742256 12937185360 12986189850 13135456400 13550806800 13824008550 14284808835 14465629200 14777388450 14905887480 15237129424 15583427820 16171481700 16562097200 17141770602 17314919800 18432011400 18632359350 19046411780 19479284775 19703184600 20777903760 21561975600 21698443800 22118413680 22855694136 23643821520 23808014725 24843145800 25972379700 27648017100 28569617670 29554776900 29811774960 31166855640 32342963400 34283541204 34629839600 36864022800 37264718700 38092823560 38958569550 39406369200 42854426505 43396887600 45711388272 47616029450 49686291600 51944759400 55296034200 57139235340 59109553800 62333711280 64685926800 68567082408 71424044175 74529437400 76185647120 77917139100 85708853010 95232058900 103889518800 110592068400 114278470680 118219107600 137134164816 142848088350 149058874800 155834278200 171417706020 190464117800 214272132525 228556941360 285696176700 311668556400 342835412040 380928235600 428544265050 571392353400 685670824080 857088530100 1142784706800 1714177060200 3428354120400
- Sum of all divisors σ(n): 14921559244800
- Sum of proper divisors (its aliquot sum) s(n): 11493205124400
- 3428354120400 is an abundant number, because the sum of its proper divisors (11493205124400) is greater than itself. Its abundance is 8064851004000
Bases of 3428354120400
- Binary: 1100011110001110011101010001011010110100002
- Hexadecimal: 0x31E39D45AD0
- Base-36: 17QYPIXG0
Squares and roots of 3428354120400
- 3428354120400 squared (34283541204002) is 11753611974863657696160000
- 3428354120400 cubed (34283541204003) is 40295544043606602090845307257664000000
-
The
square root of 3428354120400 is 1851581.5187023227 -
The
cube root of 3428354120400 is 15078.6302401359
Scales and comparisons
How big is 3428354120400?- 3,428,354,120,400 seconds is equal to 109,011 years, 2 weeks, 6 days, 13 hours.
-
To count from 1 to 3,428,354,120,400 would take you about two hundred seventy-two thousand, five hundred twenty-seven 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 3428354120400 cubic inches would be around 1256.6 feet tall.
Recreational maths with 3428354120400
- 3428354120400 backwards is 0040214538243
- 3428354120400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428354120400's digits is 36
- More coming soon!
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"Number 3428354120400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 3428354120400 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/3428354120400/
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The information we have on file for 3428354120400 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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