42468978240

Names of 42468978240

• Cardinal: 42468978240 can be written as Forty-two billion, four hundred sixty-eight million, nine hundred seventy-eight thousand, two hundred forty.

Scientific notation

• Scientific notation: 4.246897824 × 10¹⁰

Factors of 42468978240

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 12251

Divisors of 42468978240

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 72 78 80 90 93 96 104 108 117 120 124 130 135 144 155 156 160 180 186 192 195 208 216 234 240 248 260 270 279 288 310 312 320 351 360 372 390 403 416 432 465 468 480 496 520 540 558 576 585 620 624 702 720 744 780 806 832 837 864 930 936 960 992 1040 1080 1116 1170 1209 1240 1248 1395 1404 1440 1488 1560 1612 1674 1728 1755 1860 1872 1984 2015 2080 2160 2232 2340 2418 2480 2496 2790 2808 2880 2976 3120 3224 3348 3510 3627 3720 3744 4030 4160 4185 4320 4464 4680 4836 4960 5580 5616 5952 6045 6240 6448 6696 7020 7254 7440 7488 8060 8370 8640 8928 9360 9672 9920 10881 11160 11232 12090 12197 12480 12896 13392 14040 14508 14880 16120 16740 17856 18135 18720 19344 21762 22320 22464 24180 24394 25792 26784 28080 29016 29760 32240 33480 36270 36591 37440 38688 43524 44640 48360 48788 53568 54405 56160 58032 60985 64480 66960 72540 73182 77376 87048 89280 96720 97576 108810 109773 112320 116064 121970 128960 133920 145080 146364 158561 174096 182955 193440 195152 217620 219546 232128 243940 267840 290160 292728 317122 329319 348192 365910 378107 386880 390304 435240 439092 475683 487880 548865 580320 585456 634244 658638 696384 731820 756214 780608 792805 870480 878184 951366 975760 1097730 1134321 1160640 1170912 1268488 1317276 1427049 1463640 1512428 1585610 1646595 1740960 1756368 1890535 1902732 1951520 2195460 2268642 2341824 2378415 2536976 2634552 2854098 2927280 3024856 3171220 3293190 3402963 3481920 3512736 3781070 3805464 3903040 4281147 4390920 4537284 4756830 4915391 5073952 5269104 5671605 5708196 5854560 6049712 6342440 6586380 6805926 7025472 7135245 7562140 7610928 8562294 8781840 9074568 9513660 9830782 10147904 10208889 10538208 11343210 11416392 11709120 12099424 12684880 13172760 13611852 14270490 14746173 15124280 15221856 17014815 17124588 17563680 18149136 19027320 19661564 20417778 21076416 21405735 22686420 22832784 24198848 24576955 25369760 26345520 27223704 28540980 29492346 30248560 30443712 34029630 34249176 35127360 36298272 38054640 39323128 40835556 42811470 44238519 45372840 45665568 49153910 50739520 51044445 52691040 54447408 57081960 58984692 60497120 68059260 68498352 72596544 73730865 76109280 78646256 81671112 85622940 88477038 90745680 91331136 98307820 102088890 105382080 108894816 114163920 117969384 120994240 132715557 136118520 136996704 147461730 152218560 157292512 163342224 171245880 176954076 181491360 196615640 204177780 217789632 221192595 228327840 235938768 265431114 272237040 273993408 294923460 314585024 326684448 342491760 353908152 362982720 393231280 408355560 442385190 456655680 471877536 530862228 544474080 589846920 653368896 663577785 684983520 707816304 786462560 816711120 884770380 943755072 1061724456 1088948160 1179693840 1327155570 1369967040 1415632608 1572925120 1633422240 1769540760 2123448912 2359387680 2654311140 2831265216 3266844480 3539081520 4246897824 4718775360 5308622280 7078163040 8493795648 10617244560 14156326080 21234489120 42468978240
• Sum of all divisors σ(n): 166564177920
• Sum of proper divisors (its aliquot sum) s(n): 124095199680
• 42468978240 is an abundant number, because the sum of its proper divisors (124095199680) is greater than itself. Its abundance is 81626221440

Bases of 42468978240

• Binary: 100111100011010110010010111001000000₂
• Hexadecimal: 0x9E3592E40
• Base-36: JICXLC0

Squares and roots of 42468978240

• 42468978240 squared (42468978240²) is 1803614112749593497600
• 42468978240 cubed (42468978240³) is 76597648507719392818419892224000
• The square root of 42468978240 is 206080.0287267061
• The cube root of 42468978240 is 3488.9167290631

Scales and comparisons

• 42,468,978,240 seconds is equal to 1,350 years, 19 weeks, 6 days, 2 hours, 24 minutes.
• To count from 1 to 42,468,978,240 would take you about two thousand, seven hundred 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 42468978240 cubic inches would be around 290.7 feet tall.

Recreational maths with 42468978240

• 42468978240 backwards is 04287986424
• 42468978240 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 42468978240's digits is 54
• More coming soon!