146398721745920

Names of 146398721745920

• Cardinal: 146398721745920 can be written as One hundred forty-six trillion, three hundred ninety-eight billion, seven hundred twenty-one million, seven hundred forty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.4639872174592 × 10¹⁴

Factors of 146398721745920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 11240

Divisors of 146398721745920

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 59 64 70 80 92 112 115 118 128 140 160 161 184 224 230 236 256 277 280 295 320 322 368 413 448 460 472 512 554 560 590 640 644 736 805 826 896 920 944 1024 1108 1120 1180 1280 1288 1357 1385 1472 1610 1652 1792 1840 1888 1939 2065 2216 2240 2360 2560 2576 2714 2770 2944 3220 3304 3584 3680 3776 3878 4130 4432 4480 4720 5120 5152 5428 5540 5888 6371 6440 6608 6785 7168 7360 7552 7756 8260 8864 8960 9440 9499 9695 10304 10856 10867 11080 11776 12742 12880 13216 13570 14720 15104 15512 16343 16520 17728 17920 18880 18998 19390 20608 21712 21734 22160 23552 25484 25760 26432 27140 29440 30208 31024 31855 32686 33040 35456 35840 37760 37996 38780 41216 43424 43468 44320 44597 47495 50968 51520 52864 54280 54335 58880 60416 62048 63710 65372 66080 70912 75520 75992 76069 77560 81715 82432 86848 86936 88640 89194 94990 101936 103040 105728 108560 108670 114401 117760 124096 127420 130744 132160 141824 151040 151984 152138 155120 163430 164864 173696 173872 177280 178388 189980 203872 206080 211456 217120 217340 222985 228802 248192 249941 254840 261488 264320 283648 302080 303968 304276 310240 326860 347392 347744 354560 356776 375889 379960 380345 407744 412160 422912 434240 434680 445970 457604 496384 499882 509680 522976 528640 572005 607936 608552 620480 641153 653720 694784 695488 709120 713552 751778 759920 760690 815488 824320 868480 869360 891940 915208 992768 999764 1019360 1045952 1057280 1144010 1215872 1217104 1240960 1249705 1282306 1307440 1389568 1390976 1418240 1427104 1503556 1519840 1521380 1630976 1736960 1738720 1749587 1783880 1830416 1879445 1985536 1999528 2038720 2091904 2114560 2288020 2431744 2434208 2481920 2499410 2564612 2614880 2631223 2781952 2854208 3007112 3010159 3039680 3042760 3205765 3261952 3473920 3477440 3499174 3567760 3660832 3758890 3999056 4077440 4183808 4488071 4576040 4863488 4868416 4963840 4998820 5129224 5229760 5262446 5563904 5708416 6014224 6020318 6079360 6085520 6411530 6523904 6947840 6954880 6998348 7135520 7321664 7517780 7998112 8154880 8367616 8747935 8976142 9152080 9726976 9736832 9927680 9997640 10258448 10459520 10524892 11127808 11416832 12028448 12040636 12158720 12171040 12823060 13156115 13909760 13996696 14271040 14643328 14746519 15035560 15050795 15996224 16309760 16735232 17495870 17952284 18304160 19473664 19995280 20516896 20919040 21049784 21071113 22440355 22833664 24056896 24081272 24317440 24342080 25646120 26312230 27819520 27993392 28542080 29286656 29493038 30071120 30101590 31992448 32619520 34991740 35904568 36608320 38947328 39990560 41033792 41838080 42099568 42142226 44880710 45667328 48113792 48162544 48634880 48684160 51292240 52624460 55639040 55986784 57084160 58573312 58986076 60142240 60203180 63984896 69233657 69983480 71809136 73216640 73732595 77894656 79981120 82067584 83676160 84199136 84284452 89761420 96227584 96325088 97368320 102584480 103225633 105248920 105355565 111973568 114168320 117146624 117972152 120284480 120406360 127969792 138467314 139966960 143618272 146433280 147465190 159962240 164135168 168398272 168568904 177599381 179522840 192455168 192650176 194736640 205168960 206451266 210497840 210711130 223947136 228336640 235944304 240568960 240812720 255939584 276934628 279933920 287236544 292866560 294930380 319924480 328270336 336796544 337137808 346168285 355198762 359045680 384910336 385300352 389473280 410337920 412902532 420995680 421422260 447894272 471888608 481137920 481625440 484635599 516128165 553869256 559867840 574473088 585733120 589860760 639848960 656540672 673593088 674275616 692336570 710397524 718091360 770600704 820675840 825805064 841991360 842844520 887996905 895788544 943777216 962275840 963250880 969271198 1032256330 1107738512 1119735680 1148946176 1179721520 1243195667 1279697920 1347186176 1348551232 1384673140 1420795048 1436182720 1541201408 1641351680 1651610128 1683982720 1685689040 1775993810 1791577088 1887554432 1924551680 1926501760 1938542396 2064512660 2215477024 2239471360 2297892352 2359443040 2423177995 2486391334 2694372352 2697102464 2769346280 2841590096 2872365440 3082402816 3282703360 3303220256 3367965440 3371378080 3551987620 3775108864 3853003520 3877084792 4084785763 4129025320 4430954048 4478942720 4595784704 4718886080 4846355990 4972782668 5394204928 5538692560 5683180192 5744730880 6215978335 6606440512 6735930880 6742756160 7103975240 7550217728 7706007040 7754169584 8169571526 8258050640 8861908096 8957885440 9437772160 9692711980 9945565336 10788409856 11077385120 11366360384 11489461760 12431956670 13212881024 13471861760 13485512320 14207950480 15100435456 15412014080 15508339168 16339143052 16516101280 17723816192 18875544320 19385423960 19891130672 20423928815 21576819712 22154770240 22732720768 22978923520 24863913340 26425762048 26971024640 28415900960 28593500341 31016678336 32678286104 33032202560 35447632384 37751088640 38770847920 39782261344 40847857630 44309540480 45465441536 49727826680 52851524096 53942049280 56831801920 57187000682 62033356672 65356572208 66064405120 70895264768 75502177280 77541695840 79564522688 81695715260 88619080960 90930883072 99455653360 105703048192 107884098560 113663603840 114374001364 124066713344 130713144416 132128810240 142967501705 155083391680 159129045376 163391430520 177238161920 181861766144 198911306720 227327207680 228748002728 248133426688 261426288832 264257620480 285935003410 310166783360 318258090752 326782861040 354476323840 397822613440 454654415360 457496005456 496266853376 522852577664 528515240960 571870006820 620333566720 636516181504 653565722080 795645226880 909308830720 914992010912 1045705155328 1143740013640 1240667133440 1273032363008 1307131444160 1591290453760 1829984021824 2091410310656 2287480027280 2481334266880 2614262888320 3182580907520 3659968043648 4182820621312 4574960054560 5228525776640 6365161815040 7319936087296 9149920109120 10457051553280 14639872174592 18299840218240 20914103106560 29279744349184 36599680436480 73199360872960 146398721745920
• Sum of all divisors σ(n): 427480193986560
• Sum of proper divisors (its aliquot sum) s(n): 281081472240640
• 146398721745920 is an abundant number, because the sum of its proper divisors (281081472240640) is greater than itself. Its abundance is 134682750494720

Bases of 146398721745920

• Binary: 100001010010011000011011110011100010010000000000₂
• Hexadecimal: 0x85261BCE2400
• Base-36: 1FW6N70VSW

Squares and roots of 146398721745920

• 146398721745920 squared (146398721745920²) is 21432585728839309493036646400
• 146398721745920 cubed (146398721745920³) is 3137703154411922071159541176135149682688000
• The square root of 146398721745920 is 12099533.9474675637
• The cube root of 146398721745920 is 52704.2650533309

Scales and comparisons

• 146,398,721,745,920 seconds is equal to 4,655,026 years, 26 weeks, 3 days, 20 hours, 5 minutes, 20 seconds.
• To count from 1 to 146,398,721,745,920 would take you about eleven million, six hundred thirty-seven thousand, five hundred sixty-six 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 146398721745920 cubic inches would be around 4392 feet tall.

Recreational maths with 146398721745920

• 146398721745920 backwards is 029547127893641
• The number of decimal digits it has is: 15
• The sum of 146398721745920's digits is 68
• More coming soon!