146996248009520

Names of 146996248009520

• Cardinal: 146996248009520 can be written as One hundred forty-six trillion, nine hundred ninety-six billion, two hundred forty-eight million, nine thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.4699624800952 × 10¹⁴

Factors of 146996248009520

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2047

Divisors of 146996248009520

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 19 20 26 28 31 35 38 40 52 56 62 65 70 76 80 91 95 104 109 112 124 130 133 140 152 155 169 182 190 208 217 218 247 248 260 266 280 304 310 338 364 380 403 434 436 455 494 496 520 532 545 560 589 620 665 676 728 760 763 806 845 868 872 910 988 1040 1064 1085 1090 1178 1183 1235 1240 1330 1352 1417 1456 1520 1526 1612 1690 1729 1736 1744 1820 1861 1976 2015 2071 2128 2170 2180 2197 2356 2366 2470 2480 2660 2704 2821 2834 2945 3052 3211 3224 3379 3380 3458 3472 3640 3722 3815 3952 4030 4123 4142 4340 4360 4394 4712 4732 4940 5239 5320 5642 5668 5890 5915 6104 6422 6448 6758 6760 6916 7085 7280 7444 7630 7657 8060 8246 8284 8645 8680 8720 8788 9305 9424 9464 9880 9919 10355 10478 10640 10985 11284 11336 11780 11830 12208 12844 13027 13516 13520 13832 14105 14170 14497 14888 15260 15314 15379 16055 16120 16492 16568 16895 17290 17360 17576 18421 18610 18928 19760 19838 20615 20710 20956 21970 22477 22568 22672 23560 23653 23660 24193 25688 26054 26195 26923 27032 27664 28210 28340 28994 29776 30520 30628 30758 32110 32240 32984 33136 33790 34580 35152 35359 36673 36842 37220 38285 39676 41230 41420 41743 41912 43927 43940 44954 45136 47120 47306 47320 48386 49595 51376 52108 52390 53599 53846 54064 56420 56680 57691 57988 61040 61256 61516 64201 64220 65135 65968 67580 68107 69160 70718 72485 73346 73684 74440 76570 76895 79352 82460 82840 83486 83824 87854 87880 89908 92105 94612 94640 96772 99190 99541 104216 104780 107198 107692 112385 112840 113360 115382 115976 118265 120965 122512 123032 128402 128440 128947 130270 134615 135160 136214 138320 141436 144970 146692 147368 148880 153140 153790 158704 164920 165680 166972 169351 175708 175760 176795 179816 183365 184210 188461 189224 193544 198380 199082 202849 208432 208715 209560 214396 215384 219635 224770 225680 230764 231952 236530 239473 241930 246064 247513 256804 256880 257894 260540 267995 269230 270320 272428 282872 288455 289940 292201 293384 294736 306280 307489 307580 314509 321005 329840 333944 338702 340535 349999 351416 353590 359632 366730 368420 376922 378448 387088 396760 398164 403837 405698 417430 419120 428792 430768 439270 449407 449540 459667 461528 473060 476749 478946 483860 495026 497705 513608 515788 521080 535990 538460 544856 565744 571051 576910 579880 584402 586768 612560 614978 615160 629018 642010 644735 667888 677404 681070 696787 699998 702832 707180 733460 736840 749983 753844 793520 796328 807674 811396 834613 834860 846755 857584 878540 898814 899080 919334 923056 942305 946120 953498 957892 967720 990052 995410 1014245 1027216 1031576 1042160 1071980 1076920 1089712 1096129 1142102 1153820 1159760 1168804 1197365 1229956 1230320 1237565 1258036 1284020 1289470 1294033 1354808 1362140 1393574 1399996 1414360 1419943 1461005 1466920 1473680 1499966 1507688 1537445 1572545 1592656 1615348 1622792 1669226 1669720 1676311 1693510 1749995 1757080 1797628 1798160 1838668 1884610 1892240 1906996 1915784 1935440 1980104 1990820 2019185 2028490 2063152 2143960 2153840 2192258 2201563 2247035 2284204 2298335 2307640 2337608 2383745 2394730 2449993 2459912 2475130 2516072 2568040 2578940 2588066 2637037 2709616 2724280 2787148 2799992 2828720 2839886 2855255 2922010 2933840 2999932 3015376 3074890 3145090 3217669 3230696 3245584 3338452 3339440 3352622 3387020 3483935 3499990 3514160 3595256 3677336 3749915 3769220 3813992 3831568 3854131 3960208 3981640 3997357 4038370 4056980 4088617 4173065 4287920 4384516 4403126 4494070 4549987 4568408 4596670 4615280 4675216 4767490 4789460 4899986 4919824 4950260 5032144 5136080 5157880 5176132 5249881 5274074 5448560 5480645 5574296 5599984 5679772 5710510 5842291 5844020 5975671 5999864 6149780 6288319 6290180 6435338 6461392 6470165 6676904 6705244 6774040 6967870 6999980 7099715 7190512 7354672 7423663 7499830 7538440 7627984 7672903 7708262 7963280 7994714 8076740 8113960 8177234 8346130 8381555 8769032 8806252 8988140 9058231 9099974 9136816 9193340 9534980 9578920 9749779 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653985176 669275152 682484530 685629620 701451842 704291728 705247985 724658480 738370360 740983204 759497830 776837230 779982320 797981912 801659248 817481470 831450256 836346427 836593940 867997520 880364660 887229889 891318506 926229005 955824488 959881468 987347179 997477390 1002074060 1013977016 1039312820 1062725911 1079156680 1087572122 1091975248 1128396776 1139974160 1144474058 1144812760 1194780610 1199851835 1215196528 1242939568 1267471270 1273996360 1296720607 1302696278 1307970352 1364969060 1371259240 1402903684 1410495970 1476740720 1481966408 1518995660 1553214793 1553674460 1595963824 1634962940 1672692854 1673187880 1753629605 1760729320 1774459778 1782637012 1852458010 1911648976 1919762936 1974694358 1994954780 2004148120 2027954032 2078625640 2125451822 2158313360 2175144244 2228296265 2256793552 2288948116 2289625520 2389561220 2399703670 2408195413 2534942540 2547992720 2593441214 2605392556 2718930305 2729938120 2742518480 2805807368 2820991940 2861185145 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16726928540 16857367891 16935051614 17003614576 17744597780 17826370120 18237747892 19197629360 19265563304 19746943580 20191792309 20747529712 21254518220 21745007102 21751442440 22797184865 22889481160 24081954130 24851436688 24956918168 25934412140 26053925560 27630873686 28058073680 29756325508 31064295860 31196147710 33453857080 33714735782 33870103228 35489195560 35652740240 36475495784 37195406885 38531126608 39493887160 40383584618 42337629035 42509036440 43490014204 43502884880 45594369730 45778962320 48163908260 49913836336 51868824280 52107851120 54362517755 55261747372 59272680649 59512651016 62128591720 62392295420 66907714160 67429471564 67740206456 69077184215 70978391120 72950991568 74390813770 78987774320 80767169236 84286839455 84675258070 85018072880 86980028408 91188739460 96327816520 96708057901 100958961545 103737648560 108725035510 110523494744 118545361298 119025302032 124257183440 124784590840 134858943128 135480412912 138154368430 141342546163 148781627540 161534338472 168573678910 169350516140 173960056816 182377478920 192655633040 193416115802 201917923090 217450071020 221046989488 237090722596 249569181680 262493300017 269717886256 276308736860 282685092326 296363403245 297563255080 323068676944 337147357820 338701032280 364754957840 386832231604 403835846180 434900142040 474181445192 483540289505 524986600034 552617473720 565370184652 592726806490 595126510160 674294715640 677402064560 706712730815 773664463208 807671692360 869800284080 948362890384 967080579010 1049973200068 1105234947440 1130740369304 1185453612980 1312466500085 1348589431280 1413425461630 1547328926416 1615343384720 1837453100119 1934161158020 2099946400136 2261480738608 2370907225960 2624933000170 2826850923260 3674906200238 3868322316040 4199892800272 4741814451920 5249866000340 5653701846520 7349812400476 7736644632080 9187265500595 10499732000680 11307403693040 14699624800952 18374531001190 20999464001360 29399249601904 36749062002380 73498124004760 146996248009520
• Sum of all divisors σ(n): 464228954112000
• Sum of proper divisors (its aliquot sum) s(n): 317232706102480
• 146996248009520 is an abundant number, because the sum of its proper divisors (317232706102480) is greater than itself. Its abundance is 170236458092960

Bases of 146996248009520

• Binary: 100001011011000100111011001001010101101100110000₂
• Hexadecimal: 0x85B13B255B30
• Base-36: 1G3T56QFJK

Squares and roots of 146996248009520

• 146996248009520 squared (146996248009520²) is 21607896928876312562010630400
• 146996248009520 cubed (146996248009520³) is 3176279775921247981453732500505080401408000
• The square root of 146996248009520 is 12124200.9225152649
• The cube root of 146996248009520 is 52775.8718587727

Scales and comparisons

• 146,996,248,009,520 seconds is equal to 4,674,025 years, 51 weeks, 6 days, 1 hour, 45 minutes, 20 seconds.
• To count from 1 to 146,996,248,009,520 would take you about eleven million, six hundred eighty-five thousand and sixty-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 146996248009520 cubic inches would be around 4398 feet tall.

Recreational maths with 146996248009520

• 146996248009520 backwards is 025900842699641
• 146996248009520 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146996248009520's digits is 65
• More coming soon!