34940214400
34,940,214,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 34940214400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
34940214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 34940214400:
27 × 52 × 72 × 13 × 61 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 61 × 281)See below for interesting mathematical facts about the number 34940214400 from the Numbermatics database.
Names of 34940214400
- Cardinal: 34940214400 can be written as Thirty-four billion, nine hundred forty million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.49402144 × 1010
Factors of 34940214400
Divisors of 34940214400
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 61 64 65 70 80 91 98 100 104 112 122 128 130 140 160 175 182 196 200 208 224 244 245 260 280 281 305 320 325 350 364 392 400 416 427 448 455 488 490 520 560 562 610 637 640 650 700 728 784 793 800 832 854 896 910 976 980 1040 1120 1124 1220 1225 1274 1300 1400 1405 1456 1525 1568 1586 1600 1664 1708 1820 1952 1960 1967 2080 2135 2240 2248 2275 2440 2450 2548 2600 2800 2810 2912 2989 3050 3136 3172 3185 3200 3416 3640 3653 3904 3920 3934 3965 4160 4270 4480 4496 4550 4880 4900 5096 5200 5551 5600 5620 5824 5978 6100 6272 6344 6370 6832 7025 7280 7306 7808 7840 7868 7930 8320 8540 8992 9100 9760 9800 9835 10192 10400 10675 11102 11200 11240 11648 11956 12200 12688 12740 13664 13769 14050 14560 14612 14945 15680 15736 15860 15925 17080 17141 17984 18200 18265 19520 19600 19670 19825 20384 20800 21350 22204 22400 22480 23912 24400 25376 25480 25571 27328 27538 27755 28100 29120 29224 29890 31360 31472 31720 31850 34160 34282 35968 36400 36530 38857 39040 39200 39340 39650 40768 41600 42700 44408 44960 47824 48800 49175 50752 50960 51142 54656 55076 55510 56200 58240 58448 59780 62944 63440 63700 68320 68564 68845 72800 73060 74725 77714 78400 78680 79300 81536 85400 85705 88816 89920 91325 95648 97600 98350 101504 101920 102284 110152 111020 112400 116896 119560 119987 125888 126880 127400 127855 136640 137128 137690 138775 145600 146120 149450 155428 156800 157360 158600 170800 171410 177632 178997 179840 182650 191296 194285 195200 196700 203840 204568 220304 222040 222833 224800 233792 239120 239974 251776 253760 254800 255710 273280 274256 275380 277550 291200 292240 298900 310856 314720 317200 341600 342820 344225 355264 357994 365300 382592 388570 393400 407680 409136 428525 440608 444080 445666 449600 467584 478240 479948 507520 509600 511420 548512 550760 555100 584480 597800 599935 621712 629440 634400 639275 683200 685640 688450 710528 715988 730600 777140 786800 818272 839909 857050 881216 888160 891332 894985 899200 956480 959896 971425 1019200 1022840 1097024 1101520 1110200 1114165 1168960 1195600 1199870 1243424 1258880 1268800 1278550 1366400 1371280 1376900 1431976 1461200 1554280 1559831 1573600 1636544 1679818 1714100 1762432 1776320 1782664 1789970 1912960 1919792 1942850 2038400 2045680 2194048 2203040 2220400 2228330 2337920 2391200 2399740 2486848 2537600 2557100 2742560 2753800 2863952 2922400 2999675 3108560 3119662 3147200 3273088 3359636 3428200 3552640 3565328 3579940 3839584 3885700 4091360 4199545 4406080 4440800 4456660 4474925 4782400 4799480 4973696 5114200 5485120 5507600 5570825 5727904 5844800 5999350 6217120 6239324 6294400 6719272 6856400 7130656 7159880 7679168 7771400 7799155 8182720 8399090 8812160 8881600 8913320 8949850 9564800 9598960 10228400 10918817 10970240 11015200 11141650 11455808 11689600 11998700 12434240 12478648 13438544 13712800 14261312 14319760 15358336 15542800 15598310 16365440 16798180 17763200 17826640 17899700 19197920 20456800 20997725 21837634 22030400 22283300 22911616 23997400 24868480 24957296 26877088 27425600 28522624 28639520 31085600 31196620 33596360 35653280 35799400 38395840 38995775 40913600 41995450 43675268 44060800 44566600 47994800 49914592 53754176 54594085 54851200 57279040 62171200 62393240 67192720 71306560 71598800 76791680 77991550 81827200 83990900 87350536 89133200 95989600 99829184 107508352 109188170 114558080 124342400 124786480 134385440 142613120 143197600 155983100 167981800 174701072 178266400 191979200 199658368 218376340 249572960 268770880 272970425 286395200 311966200 335963600 349402144 356532800 383958400 436752680 499145920 537541760 545940850 572790400 623932400 671927200 698804288 713065600 873505360 998291840 1091881700 1247864800 1343854400 1397608576 1747010720 2183763400 2495729600 2687708800 3494021440 4367526800 4991459200 6988042880 8735053600 17470107200 34940214400
- Sum of all divisors σ(n): 110292393960
- Sum of proper divisors (its aliquot sum) s(n): 75352179560
- 34940214400 is an abundant number, because the sum of its proper divisors (75352179560) is greater than itself. Its abundance is 40411965160
Bases of 34940214400
- Binary: 1000001000101001100101011100100000002
- Hexadecimal: 0x822995C80
- Base-36: G1UI1Z4
Squares and roots of 34940214400
- 34940214400 squared (349402144002) is 1220818582317967360000
- 34940214400 cubed (349402144003) is 42655663009693828530601984000000
-
The
square root of 34940214400 is 186923.0173092655 -
The
cube root of 34940214400 is 3269.2027471549
Scales and comparisons
How big is 34940214400?- 34,940,214,400 seconds is equal to 1,110 years, 51 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 34,940,214,400 would take you about two thousand, two hundred twenty-one 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 34940214400 cubic inches would be around 272.4 feet tall.
Recreational maths with 34940214400
- 34940214400 backwards is 00441204943
- The number of decimal digits it has is: 11
- The sum of 34940214400's digits is 31
- More coming soon!
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