390042198432216

Names of 390042198432216

• Cardinal: 390042198432216 can be written as Three hundred ninety trillion, forty-two billion, one hundred ninety-eight million, four hundred thirty-two thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 3.90042198432216 × 10¹⁴

Factors of 390042198432216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 218

Divisors of 390042198432216

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 149 159 198 212 264 298 318 396 424 447 477 583 596 636 792 894 954 1166 1192 1272 1341 1639 1749 1788 1908 2332 2682 2809 3278 3498 3576 3816 4664 4917 5247 5364 5618 6556 6996 7897 8427 9834 10494 10728 11236 13112 13992 14751 15794 16854 19668 20988 22201 22472 23691 25281 29502 30899 31588 33708 39336 41976 44402 47382 50562 59004 61798 63176 66603 67416 71073 86867 88804 92697 94764 101124 118008 123596 133206 142146 148877 173734 177608 185394 189528 199809 202248 244211 247192 260601 266412 278091 284292 297754 347468 370788 399618 418541 446631 488422 521202 532824 556182 568584 595508 694936 732633 741576 781803 799236 837082 893262 976844 1042404 1112364 1176653 1191016 1255623 1339893 1465266 1563606 1598472 1637647 1674164 1786524 1953688 2084808 2197899 2224728 2353306 2511246 2679786 2930532 3127212 3275294 3307949 3348328 3529959 3573048 3766869 4395798 4603951 4706612 4912941 5022492 5359572 5861064 6254424 6550588 6615898 7059918 7533738 8791596 9207902 9413224 9825882 9923847 10044984 10589877 10719144 12943183 13101176 13231796 13811853 14119836 14738823 15067476 17583192 18415804 19651764 19847694 21179754 22182673 25886366 26463592 27623706 28239672 29477646 29771541 30134952 36387439 36831608 38829549 39303528 39695388 41435559 42359508 44365346 51772732 55247412 58955292 59543082 62362609 66548019 72774878 77659098 79390776 82871118 84719016 88730692 103545464 109162317 110494824 116488647 117910584 119086164 124725218 133096038 145549756 155318196 165742236 175321297 177461384 187087827 199644057 218324634 232977294 238172328 244009403 249450436 266192076 291099512 310636392 327486951 331484472 350642594 374175654 399288114 436649268 465954588 488018806 498900872 525963891 532384152 561263481 654973902 685988699 701285188 732028209 748351308 798576228 873298536 931909176 976037612 1051927782 1122526962 1309947804 1371977398 1402570376 1464056418 1496702616 1577891673 1597152456 1928534267 1952075224 2057966097 2103855564 2196084627 2245053924 2619895608 2743954796 2928112836 3155783346 3305218277 3857068534 4115932194 4207711128 4392169254 4490107848 5487909592 5785602801 5856225672 6173898291 6311566692 6610436554 7714137068 8231864388 8784338508 9292028741 9915654831 11571205602 12347796582 12623133384 13220873108 15428274136 16463728776 17356808403 17568677016 18584057482 19831309662 23142411204 24695593164 26441746216 27876086223 29746964493 34713616806 36357401047 37168114964 39662619324 46284822408 49391186328 55752172446 59493928986 69427233612 72714802094 74336229928 79325238648 83628258669 102212316151 109072203141 111504344892 118987857972 138854467224 145429604188 167256517338 204424632302 218144406282 223008689784 237975715944 290859208376 306636948453 327216609423 334513034676 408849264604 436288812564 492477523273 613273896906 654433218846 669026069352 817698529208 872577625128 919910845359 984955046546 1226547793812 1308866437692 1477432569819 1839821690718 1969910093092 2453095587624 2617732875384 2954865139638 3679643381436 3939820186184 4432297709457 5417252756003 5909730279276 7359286762872 8864595418914 10834505512006 11819460558552 16251758268009 17729190837828 21669011024012 32503516536018 35458381675656 43338022048024 48755274804027 65007033072036 97510549608054 130014066144072 195021099216108 390042198432216
• Sum of all divisors σ(n): 1182494949480000
• Sum of proper divisors (its aliquot sum) s(n): 792452751047784
• 390042198432216 is an abundant number, because the sum of its proper divisors (792452751047784) is greater than itself. Its abundance is 402410552615568

Bases of 390042198432216

• Binary: 1011000101011110111000110101011110101100111011000₂
• Hexadecimal: 0x162BDC6AF59D8
• Base-36: 3U9AWUCSM0

Squares and roots of 390042198432216

• 390042198432216 squared (390042198432216²) is 152132916557836161488346670656
• 390042198432216 cubed (390042198432216³) is 59338257228123291213759401182495586492253696
• The square root of 390042198432216 is 19749486.0295708963
• The cube root of 390042198432216 is 73064.0707550323

Scales and comparisons

• 390,042,198,432,216 seconds is equal to 12,402,135 years, 22 weeks, 2 days, 16 hours, 3 minutes, 36 seconds.
• To count from 1 to 390,042,198,432,216 would take you about thirty-one million, five thousand, three hundred thirty-eight 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 390042198432216 cubic inches would be around 6088.7 feet tall.

Recreational maths with 390042198432216

• 390042198432216 backwards is 612234891240093
• The number of decimal digits it has is: 15
• The sum of 390042198432216's digits is 54
• More coming soon!