34013864640
34,013,864,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34013864640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
34013864640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 34013864640:
26 × 3 × 5 × 7 × 23 × 312 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 31 × 31 × 229)See below for interesting mathematical facts about the number 34013864640 from the Numbermatics database.
Names of 34013864640
- Cardinal: 34013864640 can be written as Thirty-four billion, thirteen million, eight hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.401386464 × 1010
Factors of 34013864640
Divisors of 34013864640
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 31 32 35 40 42 46 48 56 60 62 64 69 70 80 84 92 93 96 105 112 115 120 124 138 140 155 160 161 168 184 186 192 210 217 224 229 230 240 248 276 280 310 320 322 336 345 368 372 420 434 448 458 460 465 480 483 496 552 560 620 644 651 672 687 690 713 736 744 805 840 868 916 920 930 960 961 966 992 1085 1104 1120 1145 1240 1288 1302 1344 1374 1380 1426 1472 1488 1603 1610 1680 1736 1832 1840 1860 1922 1932 1984 2139 2170 2208 2240 2290 2415 2480 2576 2604 2748 2760 2852 2883 2976 3206 3220 3255 3360 3435 3472 3565 3664 3680 3720 3844 3864 4278 4340 4416 4580 4805 4809 4830 4960 4991 5152 5208 5267 5496 5520 5704 5766 5952 6412 6440 6510 6720 6727 6870 6944 7099 7130 7328 7360 7440 7688 7728 8015 8556 8680 9160 9610 9618 9660 9920 9982 10304 10416 10534 10695 10992 11040 11408 11532 12824 12880 13020 13454 13740 13888 14198 14260 14415 14656 14880 14973 15376 15456 15801 16030 17112 17360 18320 19220 19236 19320 19964 20181 20832 21068 21297 21390 21984 22080 22103 22816 23064 24045 24955 25648 25760 26040 26335 26908 27480 28396 28520 28830 29760 29946 30752 30912 31602 32060 33635 34224 34720 35495 36640 36869 38440 38472 38640 39928 40362 41664 42136 42594 42780 43968 44206 45632 46128 48090 49693 49910 51296 51520 52080 52670 53816 54960 56792 57040 57660 59892 61504 63204 64120 66309 67270 68448 69440 70990 73280 73738 74865 76880 76944 77280 79005 79856 80724 84272 85188 85560 88412 92256 96180 99386 99820 100905 102592 104160 105340 106485 107632 109920 110515 110607 113584 114080 115320 119784 126408 128240 132618 134540 136896 141980 147476 149079 149730 153760 153888 154560 154721 158010 159712 161448 163277 168544 170376 171120 176824 184345 184512 192360 198772 199640 201810 208320 210680 212970 215264 219840 220069 221030 221214 227168 228160 230640 239568 248465 252816 256480 265236 269080 283960 294952 298158 299460 307520 307776 309442 316020 319424 322896 326554 331545 337088 340752 342240 353648 368690 384720 397544 399280 403620 421360 425940 430528 440138 442060 442428 454336 461280 464163 479136 489831 496930 505632 512960 530472 538160 553035 567920 589904 596316 598920 618884 632040 645792 653108 660207 663090 681504 684480 707296 737380 745395 769440 773605 795088 798560 807240 816385 842720 851880 880276 884120 884856 922560 928326 958272 979662 993860 1011264 1060944 1076320 1100345 1106070 1135840 1142939 1179808 1192632 1197840 1237768 1264080 1291584 1306216 1320414 1326180 1363008 1414592 1474760 1490790 1538880 1540483 1547210 1590176 1597120 1614480 1632770 1685440 1703760 1760552 1768240 1769712 1856652 1959324 1987720 2121888 2152640 2200690 2212140 2271680 2285878 2320815 2359616 2385264 2395680 2449155 2475536 2528160 2612432 2640828 2652360 2949520 2981580 3080966 3094420 3180352 3228960 3265540 3301035 3407520 3428817 3521104 3536480 3539424 3713304 3918648 3975440 4243776 4401380 4424280 4571756 4621449 4641630 4770528 4791360 4898310 4951072 5056320 5061587 5224864 5281656 5304720 5714695 5899040 5963160 6161932 6188840 6457920 6531080 6602070 6815040 6857634 7042208 7072960 7078848 7426608 7702415 7837296 7950880 8802760 8848560 9143512 9242898 9283260 9541056 9796620 9902144 10123174 10449728 10563312 10609440 11429390 11798080 11926320 12323864 12377680 13062160 13204140 13715268 14084416 14853216 15184761 15404830 15674592 15901760 17144085 17605520 17697120 18287024 18485796 18566520 19593240 20246348 21126624 21218880 22858780 23107245 23852640 24647728 24755360 25307935 26124320 26408280 27430536 29706432 30369522 30809660 31349184 34288170 35211040 35394240 35431109 36574048 36971592 37133040 39186480 40492696 42253248 45717560 46214490 47705280 49295456 49510720 50615870 52248640 52816560 54861072 60739044 61619320 68576340 70422080 70862218 73148096 73943184 74266080 75923805 78372960 80985392 91435120 92428980 98590912 101231740 105633120 106293327 109722144 121478088 123238640 137152680 141724436 147886368 148532160 151847610 156745920 161970784 177155545 182870240 184857960 202463480 211266240 212586654 219444288 242956176 246477280 274305360 283448872 295772736 303695220 323941568 354311090 365740480 369715920 404926960 425173308 485912352 492954560 531466635 548610720 566897744 607390440 708622180 739431840 809853920 850346616 971824704 1062933270 1097221440 1133795488 1214780880 1417244360 1478863680 1619707840 1700693232 2125866540 2267590976 2429561760 2834488720 3401386464 4251733080 4859123520 5668977440 6802772928 8503466160 11337954880 17006932320 34013864640
- Sum of all divisors σ(n): 133657482240
- Sum of proper divisors (its aliquot sum) s(n): 99643617600
- 34013864640 is an abundant number, because the sum of its proper divisors (99643617600) is greater than itself. Its abundance is 65629752960
Bases of 34013864640
- Binary: 111111010110110001001100010110000002
- Hexadecimal: 0x7EB6262C0
- Base-36: FMIZ5XC
Squares and roots of 34013864640
- 34013864640 squared (340138646402) is 1156942987748242329600
- 34013864640 cubed (340138646403) is 39352102181465892996932665344000
-
The
square root of 34013864640 is 184428.4810976873 -
The
cube root of 34013864640 is 3240.0520948795
Scales and comparisons
How big is 34013864640?- 34,013,864,640 seconds is equal to 1,081 years, 27 weeks, 5 days, 23 hours, 44 minutes.
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To count from 1 to 34,013,864,640 would take you about two thousand, one hundred sixty-three 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 34013864640 cubic inches would be around 270 feet tall.
Recreational maths with 34013864640
- 34013864640 backwards is 04646831043
- The number of decimal digits it has is: 11
- The sum of 34013864640's digits is 39
- More coming soon!
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