468993317760

Names of 468993317760

• Cardinal: 468993317760 can be written as Four hundred sixty-eight billion, nine hundred ninety-three million, three hundred seventeen thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 4.6899331776 × 10¹¹

Factors of 468993317760

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 9351

Divisors of 468993317760

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 89 90 96 99 108 110 120 128 132 135 144 160 162 165 176 178 180 192 198 216 220 240 264 267 270 288 297 320 324 330 352 356 360 384 396 405 432 440 445 480 495 528 534 540 576 594 640 648 660 704 712 720 792 801 810 864 880 890 891 960 979 990 1056 1068 1080 1152 1188 1296 1320 1335 1408 1424 1440 1485 1584 1602 1620 1728 1760 1780 1782 1920 1958 1980 2112 2136 2160 2376 2403 2592 2640 2670 2848 2880 2937 2970 3168 3204 3240 3456 3520 3560 3564 3916 3960 4005 4224 4272 4320 4455 4752 4806 4895 5184 5280 5340 5696 5760 5874 5940 6336 6408 6480 7040 7120 7128 7209 7832 7920 8010 8544 8640 8811 8910 9241 9504 9612 9790 10368 10560 10680 11392 11748 11880 12015 12672 12816 12960 14240 14256 14418 14685 15664 15840 16020 17088 17280 17622 17820 18482 19008 19224 19580 21120 21360 23496 23760 24030 25632 25920 26433 27723 28480 28512 28836 29370 31328 31680 32040 34176 35244 35640 36045 36964 38016 38448 39160 42720 44055 46205 46992 47520 48060 51264 51840 52866 55446 56960 57024 57672 58740 62656 63360 64080 70488 71280 72090 73928 76896 78320 79299 83169 85440 88110 92410 93984 95040 96120 101651 102528 105732 110892 114048 115344 117480 125312 128160 132165 138615 140976 142560 144180 147856 153792 156640 158598 166338 170880 176220 184820 187968 190080 192240 203302 211464 221784 230688 234960 249507 256320 264330 277230 281952 285120 288360 295712 304953 307584 313280 317196 332676 352440 369640 375936 384480 396495 406604 415845 422928 443568 461376 469920 499014 508255 512640 528660 554460 563904 570240 576720 591424 609906 626560 634392 665352 704880 739280 748521 768960 792990 813208 822449 831690 845856 887136 914859 922752 939840 998028 1016510 1057320 1108920 1127808 1153440 1182848 1219812 1247535 1268784 1330704 1409760 1478560 1497042 1524765 1537920 1585980 1626416 1644898 1663380 1691712 1774272 1829718 1879680 1996056 2033020 2114640 2217840 2306880 2439624 2467347 2495070 2537568 2661408 2744577 2819520 2957120 2994084 3049530 3171960 3252832 3289796 3326760 3383424 3548544 3659436 3742605 3992112 4066040 4112245 4229280 4435680 4574295 4613760 4879248 4934694 4990140 5075136 5322816 5489154 5639040 5914240 5988168 6099060 6343920 6505664 6579592 6653520 7318872 7402041 7485210 7984224 8132080 8224490 8233731 8458560 8871360 9046939 9148590 9758496 9869388 9980280 10150272 10645632 10978308 11976336 12198120 12336735 12687840 13011328 13159184 13307040 13722885 14637744 14804082 14970420 15968448 16264160 16448980 16467462 16917120 17742720 18093878 18297180 19516992 19738776 19960560 21956616 22206123 23952672 24396240 24673470 25375680 26318368 26614080 27140817 27445770 29275488 29608164 29940840 31936896 32528320 32897960 32934924 36187756 36594360 37010205 39033984 39477552 39921120 41168655 43913232 44412246 45234695 47905344 48792480 49346940 50751360 52636736 53228160 54281634 54891540 58550976 59216328 59881680 65056640 65795920 65869848 66618369 72375512 73188720 74020410 78955104 79842240 81422451 82337310 87826464 88824492 90469390 95810688 97584960 98693880 105273472 108563268 109783080 111030615 117101952 118432656 119763360 131591840 131739696 133236738 135704085 144751024 146377440 148040820 157910208 159684480 162844902 164674620 175652928 177648984 180938780 195169920 197387760 217126536 219566160 222061230 236865312 239526720 244267353 263183680 263479392 266473476 271408170 289502048 292754880 296081640 315820416 325689804 329349240 333091845 351305856 355297968 361877560 394775520 407112255 434253072 439132320 444122460 473730624 479053440 488534706 526367360 526958784 532946952 542816340 579004096 585509760 592163280 651379608 658698480 666183690 710595936 723755120 732802059 789551040 814224510 868506144 878264640 888244920 947461248 977069412 1053917568 1065893904 1085632680 1158008192 1184326560 1221336765 1302759216 1317396960 1332367380 1421191872 1447510240 1465604118 1579102080 1628449020 1737012288 1756529280 1776489840 1954138824 2131787808 2171265360 2368653120 2442673530 2605518432 2634793920 2664734760 2842383744 2895020480 2931208236 3256898040 3474024576 3552979680 3664010295 3908277648 4263575616 4342530720 4737306240 4885347060 5211036864 5269587840 5329469520 5790040960 5862416472 6513796080 7105959360 7328020590 7816555296 8527151232 8685061440 9770694120 10422073728 10658939040 11724832944 13027592160 14211918720 14656041180 15633110592 17370122880 19541388240 21317878080 23449665888 26055184320 29312082360 31266221184 39082776480 42635756160 46899331776 52110368640 58624164720 78165552960 93798663552 117248329440 156331105920 234496658880 468993317760
• Sum of all divisors σ(n): 1847849176800
• Sum of proper divisors (its aliquot sum) s(n): 1378855859040
• 468993317760 is an abundant number, because the sum of its proper divisors (1378855859040) is greater than itself. Its abundance is 909862541280

Bases of 468993317760

• Binary: 110110100110010001011100001101110000000₂
• Hexadecimal: 0x6D322E1B80
• Base-36: 5ZGAIG00

Squares and roots of 468993317760

• 468993317760 squared (468993317760²) is 219954732103532331417600
• 468993317760 cubed (468993317760³) is 103157299566247611926968108056576000
• The square root of 468993317760 is 684830.8679958869
• The cube root of 468993317760 is 7769.4251121299

Scales and comparisons

• 468,993,317,760 seconds is equal to 14,912 years, 27 weeks, 6 days, 9 hours, 36 minutes.
• To count from 1 to 468,993,317,760 would take you about twenty-nine thousand, eight hundred twenty-five 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 468993317760 cubic inches would be around 647.5 feet tall.

Recreational maths with 468993317760

• 468993317760 backwards is 067713399864
• The number of decimal digits it has is: 12
• The sum of 468993317760's digits is 63
• More coming soon!