998168945312500

Names of 998168945312500

• Cardinal: 998168945312500 can be written as Nine hundred ninety-eight trillion, one hundred sixty-eight billion, nine hundred forty-five million, three hundred twelve thousand, five hundred.

Scientific notation

• Scientific notation: 9.981689453125 × 10¹⁴

Factors of 998168945312500

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 74

Divisors of 998168945312500

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 10 13 17 20 25 26 34 37 50 52 65 68 74 85 100 125 130 148 170 185 221 250 260 325 340 370 425 442 481 500 625 629 650 740 850 884 925 962 1105 1250 1258 1300 1625 1700 1850 1924 2125 2210 2405 2500 2516 3125 3145 3250 3700 4250 4420 4625 4810 5525 6250 6290 6500 8125 8177 8500 9250 9620 10625 11050 12025 12500 12580 15625 15725 16250 16354 18500 21250 22100 23125 24050 27625 31250 31450 32500 32708 40625 40885 42500 46250 48100 53125 55250 60125 62500 62900 78125 78625 81250 81770 92500 106250 110500 115625 120250 138125 156250 157250 162500 163540 203125 204425 212500 231250 240500 265625 276250 300625 312500 314500 390625 393125 406250 408850 462500 531250 552500 578125 601250 690625 781250 786250 812500 817700 1015625 1022125 1062500 1156250 1202500 1328125 1381250 1503125 1562500 1572500 1953125 1965625 2031250 2044250 2312500 2656250 2762500 2890625 3006250 3453125 3906250 3931250 4062500 4088500 5078125 5110625 5312500 5781250 6012500 6640625 6906250 7515625 7812500 7862500 9765625 9828125 10156250 10221250 11562500 13281250 13812500 14453125 15031250 17265625 19531250 19656250 20312500 20442500 25390625 25553125 26562500 28906250 30062500 33203125 34531250 37578125 39062500 39312500 48828125 49140625 50781250 51106250 57812500 66406250 69062500 72265625 75156250 86328125 97656250 98281250 101562500 102212500 126953125 127765625 132812500 144531250 150312500 166015625 172656250 187890625 195312500 196562500 244140625 245703125 253906250 255531250 289062500 332031250 345312500 361328125 375781250 431640625 488281250 491406250 507812500 511062500 634765625 638828125 664062500 722656250 751562500 830078125 863281250 939453125 976562500 982812500 1220703125 1228515625 1269531250 1277656250 1445312500 1660156250 1726562500 1806640625 1878906250 2158203125 2441406250 2457031250 2539062500 2555312500 3173828125 3194140625 3320312500 3613281250 3757812500 4150390625 4316406250 4697265625 4882812500 4914062500 6103515625 6142578125 6347656250 6388281250 7226562500 8300781250 8632812500 9033203125 9394531250 10791015625 12207031250 12285156250 12695312500 12776562500 15869140625 15970703125 16601562500 18066406250 18789062500 20751953125 21582031250 23486328125 24414062500 24570312500 30517578125 30712890625 31738281250 31941406250 36132812500 41503906250 43164062500 45166015625 46972656250 53955078125 61035156250 61425781250 63476562500 63882812500 79345703125 79853515625 83007812500 90332031250 93945312500 103759765625 107910156250 117431640625 122070312500 122851562500 153564453125 158691406250 159707031250 180664062500 207519531250 215820312500 225830078125 234863281250 269775390625 307128906250 317382812500 319414062500 396728515625 399267578125 415039062500 451660156250 469726562500 518798828125 539550781250 587158203125 614257812500 767822265625 793457031250 798535156250 903320312500 1037597656250 1079101562500 1129150390625 1174316406250 1348876953125 1535644531250 1586914062500 1597070312500 1996337890625 2075195312500 2258300781250 2348632812500 2697753906250 2935791015625 3071289062500 3839111328125 3992675781250 4516601562500 5395507812500 5871582031250 6744384765625 7678222656250 7985351562500 9981689453125 11743164062500 13488769531250 14678955078125 15356445312500 19195556640625 19963378906250 26977539062500 29357910156250 38391113281250 39926757812500 49908447265625 58715820312500 76782226562500 99816894531250 199633789062500 249542236328125 499084472656250 998168945312500
• Sum of all divisors σ(n): 2557067871076992
• Sum of proper divisors (its aliquot sum) s(n): 1558898925764492
• 998168945312500 is an abundant number, because the sum of its proper divisors (1558898925764492) is greater than itself. Its abundance is 560729980451992

Bases of 998168945312500

• Binary: 11100010111101010001010001011010010100001011110100₂
• Hexadecimal: 0x38BD4516942F4
• Base-36: 9TTKHE2WHG

Squares and roots of 998168945312500

• 998168945312500 squared (998168945312500²) is 996341243386268615722656250000
• 998168945312500 cubed (998168945312500³) is 994516888082216610200703144073486328125000000
• The square root of 998168945312500 is 31593811.8199197357
• The cube root of 998168945312500 is 99938.9275529049

Scales and comparisons

• 998,168,945,312,500 seconds is equal to 31,738,684 years, 47 weeks, 6 days, 11 hours, 41 minutes, 40 seconds.
• To count from 1 to 998,168,945,312,500 would take you about seventy-nine million, three hundred forty-six thousand, seven hundred twelve 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 998168945312500 cubic inches would be around 8328.2 feet tall.

Recreational maths with 998168945312500

• 998168945312500 backwards is 005213549861899
• The number of decimal digits it has is: 15
• The sum of 998168945312500's digits is 70
• More coming soon!