468742989440
468,742,989,440 is an even composite number composed of six prime numbers multiplied together.
468742989440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 468742989440:
27 × 5 × 11 × 292 × 41 × 1931
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 29 × 41 × 1931)See below for interesting mathematical facts about the number 468742989440 from the Numbermatics database.
Names of 468742989440
- Cardinal: 468742989440 can be written as Four hundred sixty-eight billion, seven hundred forty-two million, nine hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.6874298944 × 1011
Factors of 468742989440
Divisors of 468742989440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 41 44 55 58 64 80 82 88 110 116 128 145 160 164 176 205 220 232 290 319 320 328 352 410 440 451 464 580 638 640 656 704 820 841 880 902 928 1160 1189 1276 1312 1408 1595 1640 1682 1760 1804 1856 1931 2255 2320 2378 2552 2624 3190 3280 3364 3520 3608 3712 3862 4205 4510 4640 4756 5104 5248 5945 6380 6560 6728 7040 7216 7724 8410 9020 9251 9280 9512 9655 10208 11890 12760 13079 13120 13456 14432 15448 16820 18040 18502 18560 19024 19310 20416 21241 23780 25520 26158 26240 26912 28864 30896 33640 34481 36080 37004 38048 38620 40832 42482 46255 47560 51040 52316 53824 55999 57728 61792 65395 67280 68962 72160 74008 76096 77240 79171 84964 92510 95120 102080 104632 106205 107648 111998 123584 130790 134560 137924 144320 148016 152192 154480 158342 169928 172405 185020 190240 204160 209264 212410 223996 247168 261580 269120 275848 279995 288640 296032 308960 316684 339856 344810 370040 379291 380480 395855 418528 424820 447992 523160 538240 551696 559990 592064 615989 617920 633368 679712 689620 740080 758582 760960 791710 837056 849640 870881 895984 1046320 1103392 1119980 1184128 1231978 1235840 1266736 1359424 1379240 1480160 1517164 1583420 1623971 1674112 1699280 1741762 1791968 1896455 2092640 2206784 2239960 2295959 2463956 2533472 2718848 2758480 2960320 3034328 3079945 3166840 3247942 3398560 3483524 3583936 3792910 4185280 4354405 4413568 4479920 4591918 4927912 5066944 5516960 5920640 6068656 6159890 6333680 6495884 6797120 6967048 7167872 7585820 8119855 8370560 8708810 8959840 9183836 9855824 10133888 11033920 11479795 12137312 12319780 12667360 12991768 13594240 13934096 15171640 16239710 17417620 17863681 17919680 18367672 19711648 22067840 22959590 24274624 24639560 25255549 25334720 25983536 27868192 30343280 32479420 34835240 35727362 35839360 36735344 39423296 45919180 48549248 49279120 50511098 50669440 51967072 55736384 60686560 64958840 66582811 69670480 71454724 73470688 78846592 89318405 91838360 98558240 101022196 103934144 111472768 121373120 126277745 129917680 133165622 139340960 142909448 146941376 178636810 183676720 197116480 202044392 207868288 242746240 252555490 259835360 266331244 278681920 285818896 293882752 332914055 357273620 367353440 394232960 404088784 505110980 519670720 532662488 557363840 571637792 665828110 714547240 732410921 734706880 808177568 1010221960 1039341440 1065324976 1143275584 1331656220 1429094480 1464821842 1469413760 1616355136 2020443920 2130649952 2286551168 2663312440 2858188960 2929643684 3232710272 3662054605 4040887840 4261299904 5326624880 5716377920 5859287368 7324109210 8081775680 8522599808 10653249760 11432755840 11718574736 14648218420 16163551360 21306499520 23437149472 29296436840 42612999040 46874298944 58592873680 93748597888 117185747360 234371494720 468742989440
- Sum of all divisors σ(n): 1297619144640
- Sum of proper divisors (its aliquot sum) s(n): 828876155200
- 468742989440 is an abundant number, because the sum of its proper divisors (828876155200) is greater than itself. Its abundance is 360133165760
Bases of 468742989440
- Binary: 1101101001000110100001001100110100000002
- Hexadecimal: 0x6D23426680
- Base-36: 5ZC5H1FK
Squares and roots of 468742989440
- 468742989440 squared (4687429894402) is 219719990149147951513600
- 468742989440 cubed (4687429894403) is 102992205022238962261337036816384000
-
The
square root of 468742989440 is 684648.0770731777 -
The
cube root of 468742989440 is 7768.0425385761
Scales and comparisons
How big is 468742989440?- 468,742,989,440 seconds is equal to 14,904 years, 30 weeks, 1 hour, 57 minutes, 20 seconds.
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To count from 1 to 468,742,989,440 would take you about twenty-nine thousand, eight hundred nine 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 468742989440 cubic inches would be around 647.3 feet tall.
Recreational maths with 468742989440
- 468742989440 backwards is 044989247864
- The number of decimal digits it has is: 12
- The sum of 468742989440's digits is 65
- More coming soon!
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