146380023720
146,380,023,720 is an even composite number composed of seven prime numbers multiplied together.
146380023720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146380023720:
23 × 33 × 5 × 7 × 532 × 61 × 113
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 53 × 53 × 61 × 113)See below for interesting mathematical facts about the number 146380023720 from the Numbermatics database.
Names of 146380023720
- Cardinal: 146380023720 can be written as One hundred forty-six billion, three hundred eighty million, twenty-three thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.4638002372 × 1011
Factors of 146380023720
Divisors of 146380023720
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 53 54 56 60 61 63 70 72 84 90 105 106 108 113 120 122 126 135 140 159 168 180 183 189 210 212 216 226 244 252 265 270 280 305 315 318 339 360 366 371 378 420 424 427 452 477 488 504 530 540 549 565 610 630 636 678 732 742 756 791 795 840 854 904 915 945 954 1017 1060 1080 1098 1113 1130 1220 1260 1272 1281 1356 1431 1464 1484 1512 1582 1590 1647 1695 1708 1830 1855 1890 1908 2034 2120 2135 2196 2226 2260 2373 2385 2440 2520 2562 2712 2745 2809 2862 2968 3051 3164 3180 3233 3294 3339 3390 3416 3660 3710 3780 3816 3843 3955 4068 4270 4392 4452 4520 4746 4770 5085 5124 5490 5565 5618 5724 5989 6102 6328 6360 6405 6466 6588 6678 6780 6893 7119 7155 7320 7420 7560 7686 7910 8136 8235 8427 8540 8904 9492 9540 9699 10017 10170 10248 10980 11130 11236 11448 11529 11865 11978 12204 12810 12932 13176 13356 13560 13786 14045 14238 14310 14840 15255 15372 15820 16165 16470 16695 16854 17080 17967 18984 19080 19215 19398 19663 20034 20340 20679 21357 21960 22260 22472 22631 23058 23730 23956 24408 25281 25620 25864 26712 27572 28090 28476 28620 29097 29945 30510 30744 31640 32330 32940 33390 33708 34465 35595 35934 38430 38796 39326 40068 40680 41358 41923 42135 42714 44520 45262 46116 47460 47912 48251 48495 50085 50562 51240 53901 55144 56180 56952 57240 57645 58194 58989 59890 61020 62037 64660 65880 66780 67416 67893 68930 71190 71868 75843 76860 77592 78652 80136 82716 83846 84270 85428 87291 89835 90524 92232 94920 96502 96990 98315 100170 101124 103395 106785 107802 112360 113155 115290 116388 117978 119780 122040 124074 125769 126405 129320 133560 135786 137860 142380 143736 144753 145485 151686 153720 157304 161703 165432 167692 168540 170856 171349 174582 176967 179670 181048 186111 193004 193980 196630 200340 202248 203679 206790 209615 213570 215604 226310 230580 232776 235956 239560 241255 248148 251538 252810 269505 271572 275720 284760 289506 290970 294945 303372 310185 317417 323406 335384 337080 339465 342698 349164 353934 359340 365329 372222 377307 379215 386008 387960 393260 400680 407358 413580 419230 427140 431208 434259 436455 452620 461160 471912 482510 496296 503076 505620 514047 530901 539010 543144 579012 581940 589890 606744 611037 620370 628845 634834 646812 678930 685396 698328 707868 718680 723765 730658 744444 754614 758430 786520 808515 814716 827160 838460 854280 856745 868518 872910 884835 905240 930555 952251 965020 1006152 1011240 1018395 1028094 1061802 1078020 1095987 1131921 1158024 1163880 1179780 1199443 1222074 1240740 1257690 1269668 1293624 1302777 1357860 1370792 1415736 1447530 1461316 1488888 1509228 1516860 1542141 1587085 1617030 1629432 1676920 1713490 1737036 1745820 1769670 1826645 1861110 1886535 1904502 1930040 2036790 2056188 2123604 2156040 2171295 2191974 2221919 2263842 2359560 2398886 2444148 2481480 2515380 2539336 2557303 2570235 2605554 2654505 2715720 2856753 2895060 2922632 3018456 3033720 3055185 3084282 3174170 3234060 3287961 3426980 3474072 3491640 3539340 3598329 3653290 3722220 3773070 3809004 4073580 4112376 4247208 4342590 4383948 4443838 4527684 4626423 4761255 4797772 4888296 5030760 5114606 5140470 5211108 5309010 5479935 5659605 5713506 5790120 5997215 6110370 6168564 6348340 6468120 6513885 6575922 6665757 6853960 7078680 7196658 7306580 7444440 7546140 7618008 7671909 7710705 8147160 8570259 8685180 8767896 8887676 9055368 9252846 9522510 9595544 9863883 10229212 10280940 10422216 10618020 10794987 10959870 11109595 11319210 11427012 11994430 12220740 12337128 12696680 12786515 13027770 13151844 13331514 14283765 14393316 14613160 15092280 15343818 15421410 16439805 17140518 17370360 17775352 17991645 18505692 19045020 19362437 19727766 19997271 20458424 20561880 21236040 21589974 21919740 22219190 22638420 22854024 23015727 23132115 23988860 24441480 25573030 26055540 26303688 26663028 28567530 28786632 30687636 30842820 32384961 32879610 33328785 34281036 35983290 37011384 38090040 38359545 38724874 39455532 39994542 42851295 43179948 43839480 44438380 45276840 46031454 46264230 47977720 49319415 51146060 52111080 53326056 53974935 57135060 58087311 59991813 61375272 61685640 64769922 65759220 66657570 68562072 69047181 71966580 76719090 77449748 78911064 79989084 85702590 86359896 88876760 92062908 92528460 96812185 98638830 99986355 102292120 107949870 114270120 115078635 116174622 119983626 129539844 131518440 133315140 135537059 138094362 143933160 153438180 154899496 159978168 161924805 171405180 174261933 184125816 185056920 193624370 197277660 199972710 215899740 230157270 232349244 239967252 259079688 266630280 271074118 276188724 290436555 299959065 306876360 323849610 342810360 345235905 348523866 387248740 394555320 399945420 406611177 431799480 460314540 464698488 479934504 522785799 542148236 552377448 580873110 599918130 647699220 677685295 690471810 697047732 774497480 799890840 813222354 871309665 920629080 1045571598 1084296472 1161746220 1199836260 1219833531 1295398440 1355370590 1380943620 1394095464 1626444708 1742619330 2033055885 2091143196 2323492440 2399672520 2439667062 2613928995 2710741180 2761887240 3252889416 3485238660 3659500593 4066111770 4182286392 4879334124 5227857990 5421482360 6099167655 6970477320 7319001186 8132223540 9758668248 10455715980 12198335310 14638002372 16264447080 18297502965 20911431960 24396670620 29276004744 36595005930 48793341240 73190011860 146380023720
- Sum of all divisors σ(n): 582787699200
- Sum of proper divisors (its aliquot sum) s(n): 436407675480
- 146380023720 is an abundant number, because the sum of its proper divisors (436407675480) is greater than itself. Its abundance is 290027651760
Bases of 146380023720
- Binary: 100010000101001110110111100111101010002
- Hexadecimal: 0x2214EDE7A8
- Base-36: 1V8UVX60
Squares and roots of 146380023720
- 146380023720 squared (1463800237202) is 21427111344267762638400
- 146380023720 cubed (1463800237203) is 3136501066824996181040321782848000
-
The
square root of 146380023720 is 382596.4240815639 -
The
cube root of 146380023720 is 5270.2021163813
Scales and comparisons
How big is 146380023720?- 146,380,023,720 seconds is equal to 4,654 years, 22 weeks, 3 days, 5 hours, 42 minutes.
-
To count from 1 to 146,380,023,720 would take you about nine thousand, three hundred 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 146380023720 cubic inches would be around 439.2 feet tall.
Recreational maths with 146380023720
- 146380023720 backwards is 027320083641
- 146380023720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146380023720's digits is 36
- More coming soon!
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