972131337651968

Names of 972131337651968

• Cardinal: 972131337651968 can be written as Nine hundred seventy-two trillion, one hundred thirty-one billion, three hundred thirty-seven million, six hundred fifty-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 9.72131337651968 × 10¹⁴

Factors of 972131337651968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 266537

Divisors of 972131337651968

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 13 16 26 31 32 52 62 64 104 107 124 128 208 214 248 256 331 403 416 428 496 662 806 832 856 992 1324 1391 1612 1664 1712 1984 2648 2782 3224 3317 3328 3424 3968 4303 5296 5564 6448 6634 6848 7936 8606 10261 10592 11128 12896 13268 13696 17212 20522 21184 22256 25792 26536 27392 34424 35417 41044 42368 43121 44512 51584 53072 68848 70834 82088 84736 86242 89024 103168 106144 133393 137696 141668 164176 172484 178048 212288 266053 266786 275392 283336 328352 344968 356096 424576 460421 532106 533572 550784 566672 656704 689936 849152 920842 1064212 1067144 1097927 1101568 1133344 1313408 1379872 1841684 2128424 2134288 2195854 2266688 2626816 2759744 3458689 3683368 4256848 4268576 4391708 4533376 5519488 6917378 7366736 8247643 8513696 8537152 8783416 9066752 11038976 13834756 14273051 14733472 16495286 17027392 17074304 17566832 27669512 28467671 28546102 29466944 32990572 34054784 34148608 35133664 55339024 56935342 57092204 58933888 65981144 68109568 70267328 88063543 107219359 110678048 113870684 114184408 117867776 131962288 140534656 176127086 214438718 221356096 227741368 228368816 263924576 281069312 352254172 370079723 428877436 442712192 455482736 456737632 527849152 704508344 740159446 857754872 882497801 885424384 910965472 913475264 1055698304 1144826059 1409016688 1480318892 1715509744 1764995602 1821930944 1826950528 2111396608 2289652118 2729969833 2818033376 2960637784 3431019488 3529991204 3643861888 3653901056 4579304236 5459939666 5636066752 5921275568 6862038976 7059982408 7287723776 9158608472 9422799101 10919879332 11272133504 11472471413 11842551136 13724077952 14119964816 18317216944 18845598202 21839758664 22544267008 22944942826 23685102272 27448155904 28239929632 35489607829 36634433888 37691196404 43679517328 45889885652 47370204544 56479859264 70979215658 73268867776 75382392808 87359034656 91779771304 94740409088 112959718528 122496388313 141958431316 146537735552 150764785616 174718069312 183559542608 225919437056 244992776626 283916862632 292106772131 293075471104 301529571232 349436138624 367119085216 489985553252 567833725264 584213544262 603059142464 698872277248 734238170432 979971106504 1135667450528 1168427088524 1206118284928 1468476340864 1959942213008 2271334901056 2336854177048 2412236569856 2936952681728 3797388037703 3919884426016 4542669802112 4673708354096 7594776075406 7839768852032 9085339604224 9347416708192 15189552150812 15679537704064 18694833416384 30379104301624 31359075408128 37389666832768 60758208603248 74779333665536 121516417206496 243032834412992 486065668825984 972131337651968
• Sum of all divisors σ(n): 2183888925775872
• Sum of proper divisors (its aliquot sum) s(n): 1211757588123904
• 972131337651968 is an abundant number, because the sum of its proper divisors (1211757588123904) is greater than itself. Its abundance is 239626250471936

Bases of 972131337651968

• Binary: 11011101000010010111110111000011100100011100000000₂
• Hexadecimal: 0x37425F70E4700
• Base-36: 9KLAYYR0U8

Squares and roots of 972131337651968

• 972131337651968 squared (972131337651968²) is 945039337645004616467494273024
• 972131337651968 cubed (972131337651968³) is 918702355438568176063455794463743459282911232
• The square root of 972131337651968 is 31179020.7936677831
• The cube root of 972131337651968 is 99062.2788643777

Scales and comparisons

• 972,131,337,651,968 seconds is equal to 30,910,769 years, 27 weeks, 6 days, 17 hours, 6 minutes, 8 seconds.
• To count from 1 to 972,131,337,651,968 would take you about seventy-seven million, two hundred seventy-six thousand, nine hundred twenty-three 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 972131337651968 cubic inches would be around 8255.2 feet tall.

Recreational maths with 972131337651968

• 972131337651968 backwards is 869156733131279
• The number of decimal digits it has is: 15
• The sum of 972131337651968's digits is 71
• More coming soon!