989745120
989,745,120 is an even composite number composed of six prime numbers multiplied together.
989745120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 989745120:
25 × 32 × 5 × 72 × 132 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 83)See below for interesting mathematical facts about the number 989745120 from the Numbermatics database.
Names of 989745120
- Cardinal: 989745120 can be written as Nine hundred eighty-nine million, seven hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.8974512 × 108
Factors of 989745120
Divisors of 989745120
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 65 70 72 78 80 83 84 90 91 96 98 104 105 112 117 120 126 130 140 144 147 156 160 166 168 169 180 182 195 196 208 210 224 234 240 245 249 252 260 273 280 288 294 312 315 332 336 338 360 364 390 392 415 416 420 441 455 468 480 490 498 504 507 520 546 560 581 585 588 624 630 637 664 672 676 720 728 735 747 780 784 819 830 840 845 882 910 936 980 996 1008 1014 1040 1079 1092 1120 1162 1170 1176 1183 1245 1248 1260 1274 1328 1352 1365 1440 1456 1470 1494 1521 1560 1568 1638 1660 1680 1690 1743 1764 1820 1872 1911 1960 1992 2016 2028 2080 2158 2184 2205 2324 2340 2352 2366 2490 2520 2535 2548 2656 2704 2730 2905 2912 2940 2988 3042 3120 3185 3237 3276 3320 3360 3380 3486 3528 3549 3640 3735 3744 3822 3920 3984 4056 4067 4095 4316 4368 4410 4648 4680 4704 4732 4980 5040 5070 5096 5229 5395 5408 5460 5733 5810 5880 5915 5976 6084 6240 6370 6474 6552 6640 6760 6972 7056 7098 7280 7470 7553 7605 7644 7840 7968 8112 8134 8190 8281 8632 8715 8736 8820 9296 9360 9464 9555 9711 9960 10080 10140 10192 10458 10647 10790 10920 11466 11620 11760 11830 11952 12168 12201 12740 12948 13104 13280 13520 13944 14027 14112 14196 14560 14940 15106 15210 15288 16185 16224 16268 16380 16562 17264 17430 17640 17745 18592 18720 18928 19110 19422 19920 20280 20335 20384 20916 21294 21580 21840 22659 22932 23240 23520 23660 23904 24336 24402 24843 25480 25896 26145 26208 27040 27888 28054 28392 28665 29880 30212 30420 30576 32370 32536 32760 33124 34528 34860 35280 35490 36603 37765 37856 38220 38844 39840 40560 40670 41405 41832 42081 42588 43160 43680 45318 45864 46480 47320 48555 48672 48804 49686 50960 51792 52290 52871 53235 55776 56108 56784 57330 59760 60424 60840 61005 61152 64740 65072 65520 66248 67977 69720 70135 70560 70980 73206 74529 75530 76440 77688 81120 81340 82810 83664 84162 85176 86320 90636 91728 92960 94640 97110 97608 98189 99372 101920 103584 104580 105742 106470 112216 113295 113568 114660 119520 120848 121680 122010 124215 126243 129480 130144 131040 132496 135954 139440 140270 141960 146412 149058 151060 152880 155376 158613 162680 165620 167328 168324 170352 172640 181272 183015 183456 189280 194220 195216 196378 198744 209160 210405 211484 212940 224432 226590 229320 241696 243360 244020 248430 252486 258960 264355 264992 271908 278880 280540 283920 292824 294567 298116 302120 305760 310752 317226 325360 331240 336648 339885 340704 362544 366030 372645 388440 390432 392756 397488 418320 420810 422968 425880 448864 453180 458640 475839 488040 490945 496860 504972 517920 528710 543816 561080 567840 585648 589134 596232 604240 631215 634452 650720 662480 673296 679770 687323 725088 732060 745290 776880 785512 793065 794976 836640 841620 845936 851760 883701 906360 917280 951678 976080 981890 993720 1009944 1057420 1087632 1122160 1171296 1178268 1192464 1208480 1262430 1268904 1324960 1346592 1359540 1374646 1464120 1472835 1490580 1553760 1571024 1586130 1683240 1691872 1703520 1767402 1812720 1903356 1952160 1963780 1987440 2019888 2061969 2114840 2175264 2244320 2356536 2379195 2384928 2524860 2537808 2719080 2749292 2928240 2945670 2981160 3142048 3172260 3366480 3436615 3534804 3625440 3806712 3927560 3974880 4039776 4123938 4229680 4418505 4713072 4758390 5049720 5075616 5438160 5498584 5856480 5891340 5962320 6185907 6344520 6732960 6873230 7069608 7613424 7855120 8247876 8459360 8837010 9426144 9516780 10099440 10309845 10876320 10997168 11782680 11924640 12371814 12689040 13746460 14139216 15226848 15710240 16495752 17674020 19033560 20198880 20619690 21994336 23565360 24743628 25378080 27492920 28278432 30929535 32991504 35348040 38067120 41239380 47130720 49487256 54985840 61859070 65983008 70696080 76134240 82478760 98974512 109971680 123718140 141392160 164957520 197949024 247436280 329915040 494872560 989745120
- Sum of all divisors σ(n): 4305666456
- Sum of proper divisors (its aliquot sum) s(n): 3315921336
- 989745120 is an abundant number, because the sum of its proper divisors (3315921336) is greater than itself. Its abundance is 2326176216
Bases of 989745120
- Binary: 1110101111111001001111111000002
- Hexadecimal: 0x3AFE4FE0
- Base-36: GD9O80
Squares and roots of 989745120
- 989745120 squared (9897451202) is 979595402563814400
- 989745120 cubed (9897451203) is 969549769261970790985728000
-
The
square root of 989745120 is 31460.2148752993 -
The
cube root of 989745120 is 996.5699549091
Scales and comparisons
How big is 989745120?- 989,745,120 seconds is equal to 31 years, 24 weeks, 3 days, 9 hours, 12 minutes.
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To count from 1 to 989,745,120 would take you about forty-seven 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 989745120 cubic inches would be around 83 feet tall.
Recreational maths with 989745120
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