45359447949504

Names of 45359447949504

• Cardinal: 45359447949504 can be written as Forty-five trillion, three hundred fifty-nine billion, four hundred forty-seven million, nine hundred forty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 4.5359447949504 × 10¹³

Factors of 45359447949504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 682

Divisors of 45359447949504

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 104 117 138 144 156 184 192 207 208 234 276 288 299 312 368 414 416 468 552 576 598 624 641 736 828 832 897 936 1104 1196 1248 1282 1472 1656 1794 1872 1923 2208 2392 2496 2564 2691 3312 3588 3744 3846 4416 4784 5128 5382 5769 6624 7176 7488 7692 8333 9568 10256 10764 11538 13248 14352 14743 15384 16666 19136 20512 21528 23076 24999 28704 29486 30768 33332 41024 43056 44229 46152 49998 57408 58972 61536 66664 74997 86112 88458 92304 99996 117944 123072 132687 133328 149994 172224 176916 184608 191659 199992 235888 265374 266656 299988 353832 369216 383318 399984 410881 471776 530748 533312 574977 599976 707664 766636 799968 821762 943552 1061496 1149954 1199952 1232643 1415328 1533272 1599936 1643524 1724931 2122992 2299908 2399904 2465286 2830656 3066544 3287048 3449862 3697929 4245984 4599816 4799808 4930572 5341453 6133088 6574096 6899724 7395858 8491968 9199632 9450263 9861144 10682906 12266176 13148192 13799448 14791716 16024359 18399264 18900526 19722288 21365812 26296384 27598896 28350789 29583432 32048718 36798528 37801052 39444576 42731624 48073077 55197792 56701578 59166864 64097436 75602104 78889152 85052367 85463248 96146154 110395584 113403156 118333728 122853419 128194872 151204208 170104734 170926496 192292308 226806312 236667456 245706838 256389744 263374721 302408416 340209468 341852992 368560257 384584616 453612624 491413676 512779488 526749442 604816832 680418936 737120514 769169232 790124163 907225248 982827352 1025558976 1053498884 1105680771 1360837872 1474241028 1538338464 1580248326 1814450496 1965654704 2106997768 2211361542 2370372489 2721675744 2948482056 3076676928 3160496652 3423871373 3931309408 4213995536 4422723084 4740744978 5443351488 5896964112 6057618583 6320993304 6847742746 7862618816 8427991072 8845446168 9481489956 10271614119 11793928224 12115237166 12641986608 13695485492 16855982144 17690892336 18172855749 18962979912 20543228238 23587856448 24230474332 25283973216 27390970984 30814842357 35381784672 36345711498 37925959824 41086456476 48460948664 50567946432 54518567247 54781941968 61629684714 70763569344 72691422996 75851919648 78749041579 82172912952 96921897328 109037134494 109563883936 123259369428 145382845992 151703839296 157498083158 164345825904 193843794656 218074268988 219127767872 236247124737 246518738856 290765691984 314996166316 328691651808 387687589312 436148537976 472494249474 493037477712 581531383968 629992332632 657383303616 708741374211 872297075952 944988498948 986074955424 1163062767936 1259984665264 1417482748422 1744594151904 1889976997896 1972149910848 2519969330528 2834965496844 3489188303808 3779953995792 5039938661056 5669930993688 7559907991584 11339861987376 15119815983168 22679723974752 45359447949504
• Sum of all divisors σ(n): 146331725851584
• Sum of proper divisors (its aliquot sum) s(n): 100972277902080
• 45359447949504 is an abundant number, because the sum of its proper divisors (100972277902080) is greater than itself. Its abundance is 55612829952576

Bases of 45359447949504

• Binary: 1010010100000100010001110010000100000011000000₂
• Hexadecimal: 0x294111C840C0
• Base-36: G2TUC5V40

Squares and roots of 45359447949504

• 45359447949504 squared (45359447949504²) is 2057479518283762630133846016
• 45359447949504 cubed (45359447949504³) is 93326135116762894510642543631520479576064
• The square root of 45359447949504 is 6734942.3122625187
• The cube root of 45359447949504 is 35663.3870358745

Scales and comparisons

• 45,359,447,949,504 seconds is equal to 1,442,290 years, 7 weeks, 1 day, 12 hours, 38 minutes, 24 seconds.
• To count from 1 to 45,359,447,949,504 would take you about three million, six hundred five thousand, seven hundred twenty-five 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 45359447949504 cubic inches would be around 2971.9 feet tall.

Recreational maths with 45359447949504

• 45359447949504 backwards is 40594974495354
• 45359447949504 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45359447949504's digits is 72
• More coming soon!