10107144960
10,107,144,960 is an even composite number composed of seven prime numbers multiplied together.
10107144960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 10107144960:
28 × 3 × 5 × 11 × 29 × 37 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 29 × 37 × 223)See below for interesting mathematical facts about the number 10107144960 from the Numbermatics database.
Names of 10107144960
- Cardinal: 10107144960 can be written as Ten billion, one hundred seven million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.010714496 × 1010
Factors of 10107144960
Divisors of 10107144960
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 32 33 37 40 44 48 55 58 60 64 66 74 80 87 88 96 110 111 116 120 128 132 145 148 160 165 174 176 185 192 220 222 223 232 240 256 264 290 296 319 320 330 348 352 370 384 407 435 440 444 446 464 480 528 555 580 592 638 640 660 669 696 704 740 768 814 870 880 888 892 928 957 960 1056 1073 1110 1115 1160 1184 1221 1276 1280 1320 1338 1392 1408 1480 1595 1628 1740 1760 1776 1784 1856 1914 1920 2035 2112 2146 2220 2230 2320 2368 2442 2453 2552 2640 2676 2784 2816 2960 3190 3219 3256 3345 3480 3520 3552 3568 3712 3828 3840 4070 4224 4292 4440 4460 4640 4736 4785 4884 4906 5104 5280 5352 5365 5568 5920 6105 6380 6438 6467 6512 6690 6960 7040 7104 7136 7359 7424 7656 8140 8251 8448 8584 8880 8920 9280 9472 9570 9768 9812 10208 10560 10704 10730 11136 11803 11840 12210 12265 12760 12876 12934 13024 13380 13920 14080 14208 14272 14718 15312 16095 16280 16502 17168 17760 17840 18560 19140 19401 19536 19624 20416 21120 21408 21460 22272 23606 23680 24420 24530 24753 25520 25752 25868 26048 26760 27840 28416 28544 29436 30624 32190 32335 32560 33004 34336 35409 35520 35680 36795 37120 38280 38802 39072 39248 40832 41255 42240 42816 42920 47212 47360 48840 49060 49506 51040 51504 51736 52096 53520 55680 57088 58872 59015 61248 64380 64670 65120 66008 68672 70818 71040 71137 71360 73590 76560 77604 78144 78496 81664 82510 85632 85840 90761 94424 97005 97680 98120 99012 102080 103008 103472 104192 107040 111360 117744 118030 122496 123765 128760 129340 130240 132016 137344 141636 142080 142274 142720 147180 153120 155208 156288 156992 165020 171264 171680 177045 181522 188848 194010 195360 196240 198024 204160 206016 206944 213411 214080 235488 236060 239279 244992 247530 257520 258680 260480 264032 272283 274688 283272 284548 285440 294360 306240 310416 312576 313984 330040 343360 354090 355685 363044 377696 388020 390720 392480 396048 408320 412032 413888 426822 428160 453805 470976 472120 478558 495060 515040 517360 520960 528064 544566 566544 569096 588720 612480 620832 627968 660080 686720 708180 711370 717837 726088 755392 776040 781440 784960 792096 824064 827776 853644 856320 907610 941952 944240 957116 990120 1030080 1034720 1056128 1067055 1089132 1133088 1138192 1177440 1196395 1224960 1241664 1320160 1361415 1373440 1416360 1422740 1435674 1452176 1510784 1552080 1562880 1569920 1584192 1655552 1707288 1815220 1883904 1888480 1914232 1980240 2060160 2069440 2112256 2134110 2178264 2266176 2276384 2354880 2392790 2483328 2632069 2640320 2722830 2832720 2845480 2871348 2904352 3021568 3104160 3139840 3168384 3414576 3589185 3630440 3776960 3828464 3960480 4120320 4138880 4268220 4356528 4532352 4552768 4709760 4785580 4966656 5264138 5280640 5445660 5665440 5690960 5742696 5808704 6208320 6336768 6829152 7178370 7260880 7553920 7656928 7896207 7920960 8277760 8536440 8713056 9064704 9105536 9419520 9571160 10528276 10561280 10891320 11330880 11381920 11485392 11617408 12416640 13160345 13658304 14356740 14521760 15107840 15313856 15792414 15841920 17072880 17426112 18211072 19142320 21056552 21782640 22661760 22763840 22970784 23234816 24833280 26320690 27316608 28713480 29043520 30627712 31584828 31683840 34145760 34852224 38284640 39481035 42113104 43565280 45323520 45527680 45941568 52641380 54633216 57426960 58087040 61255424 63169656 68291520 69704448 76569280 78962070 84226208 87130560 91055360 91883136 105282760 114853920 116174080 126339312 136583040 153138560 157924140 168452416 174261120 183766272 210565520 229707840 252678624 273166080 306277120 315848280 336904832 348522240 421131040 459415680 505357248 631696560 673809664 842262080 918831360 1010714496 1263393120 1684524160 2021428992 2526786240 3369048320 5053572480 10107144960
- Sum of all divisors σ(n): 37580820480
- Sum of proper divisors (its aliquot sum) s(n): 27473675520
- 10107144960 is an abundant number, because the sum of its proper divisors (27473675520) is greater than itself. Its abundance is 17366530560
Bases of 10107144960
- Binary: 10010110100110111011001011000000002
- Hexadecimal: 0x25A6ECB00
- Base-36: 4N5J6YO
Squares and roots of 10107144960
- 10107144960 squared (101071449602) is 102154379242453401600
- 10107144960 cubed (101071449603) is 1032489119302291516016295936000
-
The
square root of 10107144960 is 100534.2974312747 -
The
cube root of 10107144960 is 2162.1019319637
Scales and comparisons
How big is 10107144960?- 10,107,144,960 seconds is equal to 321 years, 19 weeks, 3 days, 20 hours, 16 minutes.
-
To count from 1 to 10,107,144,960 would take you about six 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 10107144960 cubic inches would be around 180.2 feet tall.
Recreational maths with 10107144960
- 10107144960 backwards is 06944170101
- 10107144960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10107144960's digits is 33
- More coming soon!
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