10400128128

Names of 10400128128

• Cardinal: 10400128128 can be written as Ten billion, four hundred million, one hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.0400128128 × 10¹⁰

Factors of 10400128128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 192

Divisors of 10400128128

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 137 144 148 156 192 208 222 234 274 288 296 312 333 384 411 416 444 468 481 548 576 592 624 666 822 832 888 936 962 1096 1152 1184 1233 1248 1332 1443 1644 1664 1776 1781 1872 1924 2192 2368 2466 2496 2664 2886 3288 3552 3562 3744 3848 4329 4384 4736 4932 4992 5069 5328 5343 5772 6576 7104 7124 7488 7696 8658 8768 9864 10138 10656 10686 11544 13152 14208 14248 14976 15207 15392 16029 17316 17536 18769 19728 20276 21312 21372 23088 26304 28496 30414 30784 32058 34632 37538 39456 40552 42624 42744 45621 46176 52608 56307 56992 60828 61568 64116 65897 69264 75076 78912 81104 85488 91242 92352 112614 113984 121656 128232 131794 138528 150152 157824 162208 168921 170976 182484 184704 197691 225228 227968 243312 243997 256464 263588 277056 300304 324416 337842 341952 364968 395382 450456 486624 487994 512928 527176 554112 593073 600608 648832 675684 683904 694453 729936 731991 790764 900912 973248 975988 1025856 1054352 1186146 1201216 1351368 1388906 1459872 1463982 1581528 1801824 1946496 1951976 2051712 2083359 2108704 2195973 2372292 2402432 2702736 2777812 2919744 2927964 3163056 3603648 3903952 4166718 4217408 4391946 4744584 5405472 5555624 5839488 5855928 6250077 6326112 7207296 7807904 8333436 8434816 8783892 9027889 9489168 10810944 11111248 11711856 12500154 12652224 15615808 16666872 17567784 18055778 18978336 21621888 22222496 23423712 25000308 25304448 27083667 31231616 33333744 35135568 36111556 37956672 44444992 46847424 50000616 54167334 66667488 70271136 72223112 75913344 81251001 88889984 93694848 100001232 108334668 133334976 140542272 144446224 162502002 200002464 216669336 266669952 281084544 288892448 325004004 400004928 433338672 577784896 650008008 800009856 866677344 1155569792 1300016016 1733354688 2600032032 3466709376 5200064064 10400128128
• Sum of all divisors σ(n): 33344007060
• Sum of proper divisors (its aliquot sum) s(n): 22943878932
• 10400128128 is an abundant number, because the sum of its proper divisors (22943878932) is greater than itself. Its abundance is 12543750804

Bases of 10400128128

• Binary: 1001101011111001010101110010000000₂
• Hexadecimal: 0x26BE55C80
• Base-36: 4RZYU80

Squares and roots of 10400128128

• 10400128128 squared (10400128128²) is 108162665078816784384
• 10400128128 cubed (10400128128³) is 1124905575485645776230549553152
• The square root of 10400128128 is 101981.0184691247
• The cube root of 10400128128 is 2182.7947300589

Scales and comparisons

• 10,400,128,128 seconds is equal to 330 years, 35 weeks, 6 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 10,400,128,128 would take you about six hundred sixty-one 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 10400128128 cubic inches would be around 181.9 feet tall.

Recreational maths with 10400128128

• 10400128128 backwards is 82182100401
• The number of decimal digits it has is: 11
• The sum of 10400128128's digits is 27
• More coming soon!