10042214400
10,042,214,400 is an even composite number composed of six prime numbers multiplied together.
10042214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 10042214400:
211 × 32 × 52 × 19 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 31 × 37)See below for interesting mathematical facts about the number 10042214400 from the Numbermatics database.
Names of 10042214400
- Cardinal: 10042214400 can be written as Ten billion, forty-two million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.00422144 × 1010
Factors of 10042214400
Divisors of 10042214400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 37 38 40 45 48 50 57 60 62 64 72 74 75 76 80 90 93 95 96 100 111 114 120 124 128 144 148 150 152 155 160 171 180 185 186 190 192 200 222 225 228 240 248 256 279 285 288 296 300 304 310 320 333 342 360 370 372 380 384 400 444 450 456 465 475 480 496 512 555 558 570 576 589 592 600 608 620 640 666 684 703 720 740 744 760 768 775 800 855 888 900 912 925 930 950 960 992 1024 1110 1116 1140 1147 1152 1178 1184 1200 1216 1240 1280 1332 1368 1395 1406 1425 1440 1480 1488 1520 1536 1550 1600 1665 1710 1767 1776 1800 1824 1850 1860 1900 1920 1984 2048 2109 2220 2232 2280 2294 2304 2325 2356 2368 2400 2432 2480 2560 2664 2736 2775 2790 2812 2850 2880 2945 2960 2976 3040 3072 3100 3200 3330 3420 3441 3515 3534 3552 3600 3648 3700 3720 3800 3840 3968 4218 4275 4440 4464 4560 4588 4608 4650 4712 4736 4800 4864 4960 5120 5301 5328 5472 5550 5580 5624 5700 5735 5760 5890 5920 5952 6080 6144 6200 6327 6400 6660 6840 6882 6975 7030 7068 7104 7200 7296 7400 7440 7600 7680 7936 8325 8436 8550 8835 8880 8928 9120 9176 9216 9300 9424 9472 9600 9728 9920 10240 10323 10545 10602 10656 10944 11100 11160 11248 11400 11470 11520 11780 11840 11904 12160 12400 12654 12800 13320 13680 13764 13950 14060 14136 14208 14400 14592 14725 14800 14880 15200 15360 15872 16650 16872 17100 17205 17575 17670 17760 17856 18240 18352 18432 18600 18848 18944 19200 19456 19840 20646 21090 21204 21312 21793 21888 22200 22320 22496 22800 22940 23040 23560 23680 23808 24320 24800 25308 25600 26505 26640 27360 27528 27900 28120 28272 28416 28675 28800 29184 29450 29600 29760 30400 30720 31635 31744 33300 33744 34200 34410 35150 35340 35520 35712 36480 36704 37200 37696 37888 38400 38912 39680 41292 42180 42408 42624 43586 43776 44175 44400 44640 44992 45600 45880 46080 47120 47360 47616 48640 49600 50616 51200 51615 52725 53010 53280 54720 55056 55800 56240 56544 56832 57350 57600 58368 58900 59200 59520 60800 63270 63488 65379 66600 67488 68400 68820 70300 70680 71040 71424 72960 73408 74400 75392 75776 76800 79360 82584 84360 84816 85248 86025 87172 87552 88350 88800 89280 89984 91200 91760 92160 94240 94720 95232 97280 99200 101232 103230 105450 106020 106560 108965 109440 110112 111600 112480 113088 113664 114700 115200 116736 117800 118400 119040 121600 126540 130758 132525 133200 134976 136800 137640 140600 141360 142080 142848 145920 146816 148800 150784 153600 158175 158720 165168 168720 169632 170496 172050 174344 175104 176700 177600 178560 179968 182400 183520 188480 189440 190464 194560 196137 198400 202464 206460 210900 212040 213120 217930 218880 220224 223200 224960 226176 227328 229400 230400 235600 236800 238080 243200 253080 258075 261516 265050 266400 269952 273600 275280 281200 282720 284160 285696 291840 293632 297600 301568 316350 317440 326895 330336 337440 339264 340992 344100 348688 350208 353400 355200 357120 359936 364800 367040 376960 378880 392274 396800 404928 412920 421800 424080 426240 435860 437760 440448 446400 449920 452352 458800 460800 471200 473600 476160 486400 506160 516150 523032 530100 532800 539904 544825 547200 550560 562400 565440 568320 571392 583680 587264 595200 603136 632700 653790 660672 674880 678528 681984 688200 697376 706800 710400 714240 719872 729600 734080 753920 784548 793600 809856 825840 843600 848160 852480 871720 875520 880896 892800 899840 904704 917600 942400 947200 952320 972800 980685 1012320 1032300 1046064 1060200 1065600 1079808 1089650 1094400 1101120 1124800 1130880 1136640 1174528 1190400 1206272 1265400 1307580 1321344 1349760 1357056 1376400 1394752 1413600 1420800 1428480 1439744 1459200 1468160 1507840 1569096 1587200 1619712 1634475 1651680 1687200 1696320 1704960 1743440 1751040 1761792 1785600 1799680 1809408 1835200 1884800 1894400 1961370 2024640 2064600 2092128 2120400 2131200 2159616 2179300 2188800 2202240 2249600 2261760 2349056 2380800 2530800 2615160 2642688 2699520 2714112 2752800 2789504 2827200 2841600 2856960 2918400 2936320 3015680 3138192 3239424 3268950 3303360 3374400 3392640 3409920 3486880 3523584 3571200 3599360 3618816 3670400 3769600 3922740 4049280 4129200 4184256 4240800 4262400 4319232 4358600 4377600 4404480 4499200 4523520 4761600 4903425 5061600 5230320 5285376 5399040 5428224 5505600 5579008 5654400 5683200 5872640 6031360 6276384 6478848 6537900 6606720 6748800 6785280 6973760 7047168 7142400 7198720 7340800 7539200 7845480 8098560 8258400 8368512 8481600 8524800 8717200 8755200 8808960 8998400 9047040 9806850 10123200 10460640 10570752 10798080 10856448 11011200 11158016 11308800 11745280 12552768 12957696 13075800 13213440 13497600 13570560 13947520 14284800 14681600 15078400 15690960 16197120 16516800 16737024 16963200 17049600 17434400 17617920 17996800 18094080 19613700 20246400 20921280 21141504 21596160 22022400 22316032 22617600 25105536 26151600 26426880 26995200 27141120 27895040 29363200 30156800 31381920 32394240 33033600 33474048 33926400 34868800 35235840 35993600 39227400 40492800 41842560 44044800 44632064 45235200 50211072 52303200 52853760 53990400 54282240 55790080 58726400 62763840 64788480 66067200 66948096 67852800 69737600 78454800 80985600 83685120 88089600 90470400 100422144 104606400 105707520 107980800 111580160 125527680 132134400 133896192 135705600 139475200 156909600 161971200 167370240 176179200 200844288 209212800 223160320 251055360 264268800 271411200 278950400 313819200 323942400 334740480 401688576 418425600 502110720 528537600 557900800 627638400 669480960 836851200 1004221440 1115801600 1255276800 1673702400 2008442880 2510553600 3347404800 5021107200 10042214400
- Sum of all divisors σ(n): 40134931200
- Sum of proper divisors (its aliquot sum) s(n): 30092716800
- 10042214400 is an abundant number, because the sum of its proper divisors (30092716800) is greater than itself. Its abundance is 20050502400
Bases of 10042214400
- Binary: 10010101101001000000001000000000002
- Hexadecimal: 0x256900800
- Base-36: 4M2VI80
Squares and roots of 10042214400
- 10042214400 squared (100422144002) is 100846070055567360000
- 10042214400 cubed (100422144003) is 1012717856895427342761984000000
-
The
square root of 10042214400 is 100210.8497119947 -
The
cube root of 10042214400 is 2157.4620396873
Scales and comparisons
How big is 10042214400?- 10,042,214,400 seconds is equal to 319 years, 16 weeks, 1 day, 8 hours.
-
To count from 1 to 10,042,214,400 would take you about six hundred thirty-eight 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 10042214400 cubic inches would be around 179.8 feet tall.
Recreational maths with 10042214400
- 10042214400 backwards is 00441224001
- 10042214400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10042214400's digits is 18
- More coming soon!
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The information we have on file for 10042214400 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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