46144461209040

Names of 46144461209040

• Cardinal: 46144461209040 can be written as Forty-six trillion, one hundred forty-four billion, four hundred sixty-one million, two hundred nine thousand and forty.

Scientific notation

• Scientific notation: 4.614446120904 × 10¹³

Factors of 46144461209040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 14798

Divisors of 46144461209040

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 257 272 306 340 360 408 510 514 612 680 720 765 771 816 1020 1028 1093 1224 1285 1360 1530 1542 2040 2056 2186 2313 2448 2570 3060 3084 3279 3855 4080 4112 4369 4372 4626 5140 5465 6120 6168 6558 7710 8738 8744 9252 9837 10280 10930 11565 12240 12336 13107 13116 13421 15420 16395 17476 17488 18504 18581 19674 20560 21845 21860 23130 26214 26232 26842 30840 32790 34952 37008 37162 39321 39348 40263 43690 43720 46260 49185 52428 52464 53684 55743 61680 65535 65580 67105 69904 74324 78642 78696 80526 87380 87440 92520 92905 98370 104856 107368 111486 120789 131070 131160 134210 148648 157284 157392 161052 167229 174760 185040 185810 196605 196740 201315 209712 214736 222972 228157 241578 262140 262320 268420 278715 280901 297296 314568 322104 334458 349520 371620 393210 393480 402630 445944 456314 483156 524280 536840 557430 561802 603945 629136 644208 668916 684471 743240 786420 786960 805260 836145 842703 891888 912628 966312 1048560 1073680 1114860 1123604 1140785 1207890 1337832 1368942 1404505 1486480 1572840 1610520 1672290 1685406 1825256 1932624 2053413 2229720 2247208 2281570 2415780 2528109 2675664 2737884 2809010 3145680 3221040 3344580 3370812 3422355 3449197 3650512 4106826 4213515 4459440 4494416 4563140 4775317 4831560 5056218 5475768 5618020 6689160 6741624 6844710 6898394 8213652 8427030 9126280 9550634 9663120 10112436 10267065 10347591 10951536 11236040 12640545 13378320 13483248 13689420 13796788 14325951 14669153 16427304 16854060 17245985 18252560 19101268 20224872 20534130 20695182 22472080 23876585 25281090 27378840 27593576 28651902 29338306 31042773 32854608 33708120 34491970 38202536 40449744 41068260 41390364 42977853 44007459 47753170 50562180 51737955 54757680 55187152 57303804 58636349 58676612 62085546 67416240 68983940 71629755 73345765 76405072 82136520 82780728 85955706 88014918 95506340 101124360 103475910 114607608 117272698 117353224 124171092 132022377 137967880 143259510 146691530 155213865 164273040 165561456 171911412 175909047 176029836 191012680 202248720 206951820 214889265 220037295 229215216 234545396 234706448 248342184 249375601 264044754 275935760 286519020 293181745 293383060 310427730 343822824 351818094 352059672 382025360 413903640 429778530 440074590 469090792 496684368 498751202 527727141 528089508 573038040 586363490 586766120 620855460 660111885 687645648 703636188 704119344 748126803 827807280 859557060 879545235 880149180 938181584 997502404 1055454282 1056179016 1146076080 1172726980 1173532240 1241710920 1246878005 1320223770 1407272376 1496253606 1719114120 1759090470 1760298360 1995004808 2110908564 2112358032 2244380409 2345453960 2483421840 2493756010 2638635705 2640447540 2814544752 2992507212 3438228240 3518180940 3520596720 3740634015 3769972321 3990009616 4221817128 4488760818 4690907920 4987512020 5277271410 5280895080 5985014424 7036361880 7481268030 7539944642 8443634256 8977521636 9975024040 10554542820 10561790160 11221902045 11309916963 11970028848 14072723760 14962536060 15079889284 17955043272 18849861605 19950048080 21109085640 22443804090 22619833926 29925072120 30159778568 33929750889 35910086544 37699723210 42218171280 44887608180 45239667852 56549584815 59850144240 60319557136 64089529457 67859501778 75399446420 89775216360 90479335704 113099169630 128179058914 135719003556 150798892840 169648754445 179550432720 180958671408 192268588371 226198339260 256358117828 271438007112 301597785680 320447647285 339297508890 384537176742 452396678520 512716235656 542876014224 576805765113 640895294570 678595017780 769074353484 904793357040 961342941855 1025432471312 1153611530226 1281790589140 1357190035560 1538148706968 1922685883710 2307223060452 2563581178280 2714380071120 2884028825565 3076297413936 3845371767420 4614446120904 5127162356560 5768057651130 7690743534840 9228892241808 11536115302260 15381487069680 23072230604520 46144461209040
• Sum of all divisors σ(n): 164885727236256
• Sum of proper divisors (its aliquot sum) s(n): 118741266027216
• 46144461209040 is an abundant number, because the sum of its proper divisors (118741266027216) is greater than itself. Its abundance is 72596804818176

Bases of 46144461209040

• Binary: 1010011111011111011000001101111111110111010000₂
• Hexadecimal: 0x29F7D837FDD0
• Base-36: GCUH0SES0

Squares and roots of 46144461209040

• 46144461209040 squared (46144461209040²) is 2129311300272597298577721600
• 46144461209040 cubed (46144461209040³) is 98255922697399389621908769134744523264000
• The square root of 46144461209040 is 6792971.4565159185
• The cube root of 46144461209040 is 35867.9475887611

Scales and comparisons

• 46,144,461,209,040 seconds is equal to 1,467,251 years, 6 weeks, 6 days, 3 hours, 24 minutes.
• To count from 1 to 46,144,461,209,040 would take you about three million, six hundred sixty-eight thousand, one hundred twenty-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 46144461209040 cubic inches would be around 2989 feet tall.

Recreational maths with 46144461209040

• 46144461209040 backwards is 04090216444164
• 46144461209040 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46144461209040's digits is 45
• More coming soon!