146809887175168

Names of 146809887175168

• Cardinal: 146809887175168 can be written as One hundred forty-six trillion, eight hundred nine billion, eight hundred eighty-seven million, one hundred seventy-five thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46809887175168 × 10¹⁴

Factors of 146809887175168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 226

Divisors of 146809887175168

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 14 16 28 29 32 49 56 58 61 64 98 112 116 122 127 128 196 203 224 232 244 254 256 343 392 406 427 448 464 488 508 512 686 784 812 854 889 896 928 976 1016 1372 1421 1568 1624 1708 1769 1778 1792 1856 1952 2032 2744 2842 2989 3136 3248 3416 3538 3556 3584 3683 3712 3721 3904 4064 5488 5684 5978 6223 6272 6496 6832 7076 7112 7366 7424 7442 7747 7808 8128 9947 10976 11368 11956 12383 12446 12544 12992 13664 14152 14224 14732 14848 14884 15494 15616 16256 19894 20923 21952 22736 23912 24766 24892 25088 25781 25984 26047 27328 28304 28448 29464 29768 30988 31232 32512 39788 41846 43561 43904 45472 47824 49532 49784 51562 51968 52094 54229 54656 56608 56896 58928 59536 61976 65024 79576 83692 86681 87122 87808 90944 95648 99064 99568 103124 103936 104188 107909 108458 109312 113216 113792 117856 119072 123952 159152 167384 173362 174244 175616 180467 181888 182329 191296 198128 199136 206248 208376 215818 216916 218624 224663 226432 226981 227584 235712 238144 247904 318304 334768 346724 348488 360934 363776 364658 379603 382592 396256 398272 412496 416752 431636 433832 449326 452864 453962 455168 471424 472567 476288 495808 606767 636608 669536 693448 696976 721868 727552 729316 755363 759206 765184 792512 796544 824992 833504 863272 867664 898652 905728 907924 942848 945134 952576 991616 1213534 1263269 1273216 1276303 1339072 1386896 1393952 1443736 1458632 1510726 1518412 1530368 1572641 1585024 1588867 1593088 1649984 1667008 1726544 1735328 1797304 1815848 1885696 1890268 1905152 1983232 2427068 2526538 2546432 2552606 2657221 2678144 2773792 2787904 2887472 2917264 3021452 3036824 3145282 3170048 3177734 3186176 3299968 3307969 3334016 3453088 3470656 3594608 3631696 3780536 3966464 4854136 5053076 5092864 5105212 5287541 5314442 5356288 5547584 5575808 5774944 5834528 6042904 6073648 6290564 6340096 6355468 6582449 6599936 6615938 6668032 6906176 6941312 7189216 7263392 7561072 9708272 10106152 10210424 10575082 10628884 10712576 11008487 11095168 11122069 11151616 11549888 11669056 12085808 12147296 12581128 12710936 13164898 13199872 13231876 13336064 13704443 13812352 13882624 14378432 14526784 15122144 19416544 20212304 20420848 21150164 21257768 22016974 22190336 22244138 22303232 23099776 23155783 23338112 24171616 24294592 25162256 25421872 26329796 26463752 27408886 27624704 27765248 28756864 28826587 29053568 30244288 37012787 38833088 40424608 40841696 42300328 42515536 44033948 44380672 44488276 46077143 46199552 46311566 46676224 48343232 48589184 50324512 50843744 52659592 52927504 54817772 55249408 57513728 57653174 58107136 60488576 74025574 77059409 77666176 77854483 80849216 81683392 84600656 85031072 88067896 88976552 92154286 92399104 92623132 93352448 95931101 96686464 97178368 100649024 101687488 105319184 105855008 109635544 115027456 115306348 116214272 120977152 148051148 154118818 155332352 155708966 161698432 162090481 163366784 169201312 170062144 176135792 177953104 184308572 185246264 191862202 193372928 194356736 201298048 201786109 203374976 210638368 211710016 219271088 230612696 241954304 296102296 308237636 310664704 311417932 322540001 323396864 324180962 326733568 338402624 340124288 352271584 355906208 368617144 370492528 383724404 386745856 402596096 403572218 406749952 421276736 423420032 438542176 461225392 592204592 616475272 622835864 645080002 646793728 648361924 653467136 671517707 676805248 680248576 704543168 711812416 737234288 740985056 767448808 805192192 807144436 813499904 835971023 842553472 846840064 877084352 922450784 1184409184 1232950544 1245671728 1290160004 1296723848 1343035414 1353610496 1360497152 1409086336 1412502763 1423624832 1474468576 1481970112 1534897616 1614288872 1671942046 1685106944 1693680128 1754168704 1844901568 2257780007 2368818368 2465901088 2491343456 2580320008 2593447696 2686070828 2707220992 2818172672 2825005526 2847249664 2948937152 2963940224 3069795232 3228577744 3343884092 3370213888 3508337408 3689803136 4515560014 4700623949 4737636736 4931802176 4982686912 5160640016 5186895392 5372141656 5636345344 5650011052 5694499328 5851797161 5897874304 5927880448 6139590464 6457155488 6687768184 7016674816 7379606272 9031120028 9401247898 9475273472 9863604352 9887519341 9965373824 10321280032 10373790784 10744283312 11300022104 11703594322 11795748608 11855760896 12279180928 12914310976 13375536368 14759212544 18062240056 18802495796 18950546944 19727208704 19775038682 19930747648 20642560064 20747581568 21488566624 22600044208 23407188644 23591497216 24558361856 25828621952 26751072736 36124480112 37604991592 39454417408 39550077364 39861495296 40962580127 41285120128 41495163136 42977133248 45200088416 46814377288 49116723712 51657243904 53502145472 72248960224 75209983184 79100154728 81925160254 82570240256 82990326272 85954266496 90400176832 93628754576 103314487808 107004290944 144497920448 150419966368 158200309456 163850320508 165140480512 171908532992 180800353664 187257509152 214008581888 286738060889 288995840896 300839932736 316400618912 327700641016 343817065984 361600707328 374515018304 428017163776 573476121778 577991681792 601679865472 632801237824 655401282032 723201414656 749030036608 1146952243556 1155983363584 1203359730944 1265602475648 1310802564064 1498060073216 2293904487112 2406719461888 2531204951296 2621605128128 2996120146432 4587808974224 5062409902592 5243210256256 9175617948448 10486420512512 18351235896896 20972841025024 36702471793792 73404943587584 146809887175168
• Sum of all divisors σ(n): 362605934592000
• Sum of proper divisors (its aliquot sum) s(n): 215796047416832
• 146809887175168 is an abundant number, because the sum of its proper divisors (215796047416832) is greater than itself. Its abundance is 68986160241664

Bases of 146809887175168

• Binary: 100001011000010111010111001011001011001000000000₂
• Hexadecimal: 0x8585D72CB200
• Base-36: 1G1FJ4AZGG

Squares and roots of 146809887175168

• 146809887175168 squared (146809887175168²) is 21553142972385557602715828224
• 146809887175168 cubed (146809887175168³) is 3164214488046188780273534988829376886341632
• The square root of 146809887175168 is 12116512.9957082949
• The cube root of 146809887175168 is 52753.5594642383

Scales and comparisons

• 146,809,887,175,168 seconds is equal to 4,668,100 years, 15 weeks, 3 days, 23 hours, 19 minutes, 28 seconds.
• To count from 1 to 146,809,887,175,168 would take you about eleven million, six hundred seventy thousand, two hundred fifty 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 146809887175168 cubic inches would be around 4396.1 feet tall.

Recreational maths with 146809887175168

• 146809887175168 backwards is 861571788908641
• The number of decimal digits it has is: 15
• The sum of 146809887175168's digits is 79
• More coming soon!