3428547320400
3,428,547,320,400 is an even composite number composed of seven prime numbers multiplied together.
3428547320400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3428547320400:
24 × 3 × 52 × 23 × 89 × 1093 × 1277
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 89 × 1093 × 1277)See below for interesting mathematical facts about the number 3428547320400 from the Numbermatics database.
Names of 3428547320400
- Cardinal: 3428547320400 can be written as Three trillion, four hundred twenty-eight billion, five hundred forty-seven million, three hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 3.4285473204 × 1012
Factors of 3428547320400
Divisors of 3428547320400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 89 92 100 115 120 138 150 178 184 200 230 240 267 276 300 345 356 368 400 445 460 534 552 575 600 690 712 890 920 1068 1093 1104 1150 1200 1277 1335 1380 1424 1725 1780 1840 2047 2136 2186 2225 2300 2554 2670 2760 3279 3450 3560 3831 4094 4272 4372 4450 4600 5108 5340 5465 5520 6141 6385 6558 6675 6900 7120 7662 8188 8744 8900 9200 10216 10235 10680 10930 12282 12770 13116 13350 13800 15324 16376 16395 17488 17800 19155 20432 20470 21360 21860 24564 25139 25540 26232 26700 27325 27600 29371 30648 30705 31925 32752 32790 35600 38310 40940 43720 49128 50278 51080 51175 52464 53400 54650 58742 61296 61410 63850 65580 75417 76620 81880 81975 87440 88113 95775 97277 98256 100556 102160 102350 106800 109300 113653 117484 122820 125695 127700 131160 146855 150834 153240 153525 163760 163950 176226 191550 194554 201112 204700 218600 227306 234968 245640 251390 255400 262320 291831 293710 301668 306480 307050 327900 340959 352452 377085 383100 389108 402224 409400 437200 440565 454612 469936 486385 491280 502780 510800 568265 583662 587420 603336 614100 628475 655800 681918 704904 734275 754170 766200 778216 818800 881130 909224 972770 1005560 1136530 1167324 1174840 1206672 1228200 1256950 1311600 1363836 1395761 1409808 1459155 1468550 1508340 1532400 1556432 1704795 1762260 1818448 1885425 1945540 2011120 2202825 2237371 2273060 2334648 2349680 2431925 2456400 2513900 2614019 2727672 2791522 2841325 2918310 2937100 3016680 3409590 3524520 3770850 3891080 4187283 4405650 4474742 4546120 4669296 4863850 5027800 5228038 5455344 5583044 5682650 5836620 5874200 6033360 6712113 6819180 6978805 7049040 7295775 7541700 7782160 7842057 8374566 8523975 8811300 8949484 9092240 9727700 10055600 10456076 11166088 11186855 11365300 11673240 11748400 13070095 13424226 13638360 13957610 14591550 15083400 15684114 16749132 17047950 17622600 17898968 19455400 20912152 20936415 22332176 22373710 22730600 23346480 26140190 26848452 27276720 27915220 29183100 30166800 31368228 32102503 33498264 33560565 34095900 34894025 35245200 35797936 38910800 39210285 41824304 41872830 44747420 45461200 52280380 53696904 55830440 55934275 58366200 62736456 64205006 65350475 66996528 67121130 68191800 69788050 78420570 83745660 89494840 96307509 104560760 104682075 107393808 111660880 111868550 116732400 124222729 125472912 128410012 130700950 134242260 136383600 139576100 156841140 160512515 167491320 167802825 178989680 192615018 196051425 209121520 209364150 223737100 248445458 256820024 261401900 268484520 279152200 313682280 321025030 334982640 335605650 372668187 385230036 392102850 418728300 447474200 481537545 496890916 513640048 522803800 536969040 558304400 621113645 627364560 642050060 671211300 745336374 770460072 784205700 802562575 837456600 894948400 963075090 993781832 1045607600 1242227290 1284100120 1342422600 1490672748 1540920144 1568411400 1605125150 1674913200 1863340935 1926150180 1987563664 2407687725 2484454580 2568200240 2684845200 2857122767 2981345496 3105568225 3136822800 3210250300 3726681870 3852300360 4815375450 4968909160 5714245534 5962690992 6211136450 6420500600 7453363740 7704600720 8571368301 9316704675 9630750900 9937818320 11428491068 12422272900 12841001200 14285613835 14906727480 17142736602 18633409350 19261501800 22856982136 24844545800 28571227670 29813454960 34285473204 37266818700 38523003600 42856841505 45713964272 49689091600 57142455340 68570946408 71428069175 74533637400 85713683010 114284910680 137141892816 142856138350 149067274800 171427366020 214284207525 228569821360 285712276700 342854732040 428568415050 571424553400 685709464080 857136830100 1142849106800 1714273660200 3428547320400
- Sum of all divisors σ(n): 11608745921280
- Sum of proper divisors (its aliquot sum) s(n): 8180198600880
- 3428547320400 is an abundant number, because the sum of its proper divisors (8180198600880) is greater than itself. Its abundance is 4751651280480
Bases of 3428547320400
- Binary: 1100011110010001010101100001011010010100002
- Hexadecimal: 0x31E45585A50
- Base-36: 17R1WJVIO
Squares and roots of 3428547320400
- 3428547320400 squared (34285473204002) is 11754936728222020256160000
- 3428547320400 cubed (34285473204003) is 40302356821017150605531889593664000000
-
The
square root of 3428547320400 is 1851633.6895833365 -
The
cube root of 3428547320400 is 15078.9134797059
Scales and comparisons
How big is 3428547320400?- 3,428,547,320,400 seconds is equal to 109,017 years, 10 weeks, 2 days, 15 hours, 40 minutes.
-
To count from 1 to 3,428,547,320,400 would take you about two hundred seventy-two thousand, five hundred forty-two 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 3428547320400 cubic inches would be around 1256.6 feet tall.
Recreational maths with 3428547320400
- 3428547320400 backwards is 0040237458243
- The number of decimal digits it has is: 13
- The sum of 3428547320400's digits is 42
- More coming soon!
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