40648596768

Names of 40648596768

• Cardinal: 40648596768 can be written as Forty billion, six hundred forty-eight million, five hundred ninety-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0648596768 × 10¹⁰

Factors of 40648596768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 352

Divisors of 40648596768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 53 54 72 78 81 96 104 106 108 117 144 156 159 162 208 212 216 234 243 281 288 312 318 324 351 416 424 432 468 477 486 562 624 636 648 689 702 729 843 848 864 936 954 972 1053 1124 1248 1272 1296 1378 1404 1431 1458 1686 1696 1872 1908 1944 2067 2106 2187 2248 2529 2544 2592 2756 2808 2862 2916 3159 3372 3653 3744 3816 3888 4134 4212 4293 4374 4496 5058 5088 5512 5616 5724 5832 6201 6318 6561 6744 7306 7587 7632 7776 8268 8424 8586 8748 8992 9477 10116 10959 11024 11232 11448 11664 12402 12636 12879 13122 13488 14612 14893 15174 15264 16536 16848 17172 17496 18603 18954 20232 21918 22048 22761 22896 23328 24804 25272 25758 26244 26976 28431 29224 29786 30348 32877 33072 33696 34344 34992 37206 37908 38637 40464 43836 44679 45522 45792 49608 50544 51516 52488 55809 56862 58448 59572 60696 65754 66144 68283 68688 69984 74412 75816 77274 80928 85293 87672 89358 91044 98631 99216 101088 103032 104976 111618 113724 115911 116896 119144 121392 131508 134037 136566 137376 148824 151632 154548 167427 170586 175344 178716 182088 193609 197262 198432 204849 206064 209952 223236 227448 231822 238288 242784 263016 268074 273132 295893 297648 303264 309096 334854 341172 347733 350688 357432 364176 387218 394524 402111 409698 412128 446472 454896 463644 476576 502281 526032 536148 546264 580827 591786 595296 614547 618192 669708 682344 695466 714864 728352 774436 789048 804222 819396 887679 892944 909792 927288 1004562 1052064 1072296 1092528 1161654 1183572 1206333 1229094 1236384 1339416 1364688 1390932 1429728 1506843 1548872 1578096 1608444 1638792 1742481 1775358 1785888 1843641 1854576 2009124 2144592 2185056 2323308 2367144 2412666 2458188 2663037 2678832 2729376 2781864 3013686 3097744 3156192 3216888 3277584 3484962 3550716 3618999 3687282 3709152 4018248 4289184 4520529 4646616 4734288 4825332 4916376 5227443 5326074 5357664 5563728 6027372 6195488 6433776 6555168 6969924 7101432 7237998 7374564 7989111 8036496 9041058 9293232 9468576 9650664 9832752 10454886 10652148 10856997 11127456 12054744 12867552 13939848 14202864 14475996 14749128 15682329 15978222 16072992 18082116 18586464 19301328 19665504 20909772 21304296 21713994 23967333 24109488 27879696 28405728 28951992 29498256 31364658 31956444 32570991 36164232 38602656 41819544 42608592 43427988 47046987 47934666 48218976 55759392 57903984 58996512 62729316 63912888 65141982 72328464 83639088 85217184 86855976 94093974 95869332 97712973 115807968 125458632 127825776 130283964 141140961 144656928 167278176 173711952 188187948 191738664 195425946 250917264 255651552 260567928 282281922 347423904 376375896 383477328 390851892 423422883 501834528 521135856 564563844 752751792 766954656 781703784 846845766 1042271712 1129127688 1270268649 1505503584 1563407568 1693691532 2258255376 2540537298 3126815136 3387383064 4516510752 5081074596 6774766128 10162149192 13549532256 20324298384 40648596768
• Sum of all divisors σ(n): 132175415736
• Sum of proper divisors (its aliquot sum) s(n): 91526818968
• 40648596768 is an abundant number, because the sum of its proper divisors (91526818968) is greater than itself. Its abundance is 50878222200

Bases of 40648596768

• Binary: 100101110110110110000101110100100000₂
• Hexadecimal: 0x976D85D20
• Base-36: IO94I00

Squares and roots of 40648596768

• 40648596768 squared (40648596768²) is 1652308419207460045824
• 40648596768 cubed (40648596768³) is 67164018668735549540170578296832
• The square root of 40648596768 is 201614.9715869335
• The cube root of 40648596768 is 3438.3376220609

Scales and comparisons

• 40,648,596,768 seconds is equal to 1,292 years, 25 weeks, 6 days, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 40,648,596,768 would take you about two thousand, five hundred eighty-four 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 40648596768 cubic inches would be around 286.5 feet tall.

Recreational maths with 40648596768

• 40648596768 backwards is 86769584604
• The number of decimal digits it has is: 11
• The sum of 40648596768's digits is 63
• More coming soon!