146345562417040

Names of 146345562417040

• Cardinal: 146345562417040 can be written as One hundred forty-six trillion, three hundred forty-five billion, five hundred sixty-two million, four hundred seventeen thousand and forty.

Scientific notation

• Scientific notation: 1.4634556241704 × 10¹⁴

Factors of 146345562417040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3786

Divisors of 146345562417040

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 97 98 112 119 131 136 140 170 194 196 238 245 262 272 280 340 343 388 392 476 485 490 524 560 595 655 679 680 686 776 784 833 917 952 970 980 1048 1190 1310 1358 1360 1372 1552 1649 1666 1715 1834 1904 1940 1960 2096 2227 2380 2401 2620 2716 2744 3298 3332 3395 3430 3527 3668 3880 3920 4165 4454 4585 4753 4760 4802 5240 5432 5488 5831 6419 6596 6664 6790 6860 7054 7336 7760 8245 8330 8908 9170 9506 9520 9604 10480 10864 11135 11543 11662 12005 12707 12838 13192 13328 13580 13720 14108 14672 15589 16490 16660 17635 17816 18340 19012 19208 22270 23086 23324 23765 24010 24689 25414 25676 26384 27160 27440 28216 29155 31178 32095 32980 33271 33320 35270 35632 36680 38024 38416 40817 44540 44933 46172 46648 47530 48020 49378 50828 51352 54320 56432 57715 58310 59959 62356 63535 64190 65960 66542 66640 70540 73360 76048 77945 80801 81634 88949 89080 89866 92344 93296 95060 96040 98756 101656 102704 109123 115430 116620 119918 123445 124712 127070 128380 131920 133084 141080 155890 161602 163268 166355 172823 177898 178160 179732 184688 190120 192080 197512 203312 204085 216019 218246 224665 230860 232897 233240 239836 246890 249424 254140 256760 266168 282160 299795 311780 314531 323204 326536 332710 342119 345646 355796 359464 380240 395024 404005 408170 419713 432038 436492 444745 449330 461720 462037 465794 466480 479672 493780 508280 513520 532336 545615 565607 599590 622643 623560 629062 646408 653072 665420 684238 691292 711592 718928 763861 808010 816340 839426 864076 864115 872984 889490 898660 923440 924074 931588 959344 987560 1016560 1080095 1091230 1131214 1164485 1199180 1209761 1245286 1247120 1258124 1292816 1330840 1368476 1382584 1423184 1512133 1527722 1572655 1616020 1632680 1678852 1710595 1728152 1728230 1745968 1778980 1797320 1848148 1863176 1975120 2098565 2160190 2182460 2262428 2310185 2328970 2394833 2398360 2419522 2490572 2516248 2661680 2736952 2765168 2828035 2937991 3024266 3055444 3113215 3145310 3232040 3234259 3265360 3357704 3421190 3456304 3456460 3557960 3594640 3696296 3726352 3819305 3959249 4197130 4320380 4358501 4364920 4524856 4620370 4657940 4789666 4796720 4839044 4981144 5032496 5347027 5473904 5656070 5816023 5875982 6048532 6048805 6110888 6226430 6290620 6464080 6468518 6715408 6842380 6912920 7115920 7392592 7560665 7638610 7854629 7918498 8394260 8468327 8640760 8717002 8729840 9049712 9240740 9315880 9579332 9678088 9962288 10584931 10694054 11312140 11632046 11751964 11974165 12097064 12097610 12221776 12452860 12581240 12937036 13684760 13825840 14689955 15121330 15277220 15709258 15836996 16171295 16763831 16788520 16936654 17281520 17434004 18481480 18631760 19158664 19356176 19796245 20565937 21169862 21388108 21792505 22624280 22639813 23264092 23503928 23948330 24194128 24195220 24905720 25162480 25874072 26735135 27369520 29080115 29379910 30242660 30509507 30554440 31418516 31673992 32342590 33527662 33577040 33873308 34868008 36962960 38317328 39273145 39592490 40712161 41131874 42339724 42341635 42776216 43585010 44817589 45248560 45279626 46528184 47007856 47896660 48390440 49811440 51748144 52924655 53470270 54982403 58160230 58759820 60485320 61019014 61108880 62837032 63347984 64685180 67055324 67746616 69736016 74094517 78546290 79184980 81424322 82263748 83819155 84679448 84683270 85552432 87170020 89635178 90559252 93056368 95793320 96780880 102829685 105849310 106940540 109964806 113199065 116320460 117346817 117519640 120970640 122038028 125674064 129370360 134110648 135493232 143961559 148189034 152547535 157092580 158369960 158478691 162848644 164527496 167638310 169358896 169366540 174340040 179270356 181118504 191586640 203560805 205659370 211698620 213881080 219929612 224087945 226398130 232640920 234693634 235039280 244076056 258740720 268221296 274912015 284985127 287923118 296378068 305095070 313723123 314185160 316739920 316957382 325697288 329054992 335276620 338733080 348680080 358540712 362237008 370472585 384876821 407121610 411318740 423397240 427762160 439859224 448175890 452796260 465281840 469387268 488152112 518661619 549824030 569970254 575846236 586734085 592756136 610190140 627446246 628370320 633914764 651394576 670553240 677466160 717081424 719807795 740945170 761899013 769753642 792393455 814243220 821427719 822637480 846794480 879718448 896351780 905592520 938774536 1037323238 1099648060 1109350837 1139940508 1151692472 1173468170 1185512272 1220380280 1254892492 1267829528 1341106480 1424925635 1439615590 1481890340 1523798026 1539507284 1568615615 1584786910 1628486440 1642855438 1645274960 1792703560 1811185040 1877549072 1924384105 1994895889 2074646476 2196061861 2199296120 2218701674 2279881016 2303384944 2346936340 2440760560 2509784984 2535659056 2593308095 2694137747 2849851270 2879231180 2963780680 3047596052 3079014568 3137231230 3169573820 3256972880 3285710876 3585407120 3809495065 3848768210 3989791778 4107138595 4149292952 4392123722 4398592240 4437403348 4559762032 4693872680 5019569968 5186616190 5333293091 5388275494 5546754185 5699702540 5758462360 5927561360 6095192104 6158029136 6274462460 6339147640 6571421752 7618990130 7697536420 7979583556 8214277190 8298585904 8784247444 8874806696 9387745360 9974479445 10373232380 10666586182 10776550988 10980309305 11093508370 11399405080 11516924720 12190384208 12548924920 12678295280 13142843504 13470688735 13964271223 15237980260 15372433027 15395072840 15959167112 16428554380 17568494888 17749613392 18858964229 19948958890 20746464760 21333172364 21553101976 21960618610 22187016740 22798810160 25097849840 26666465455 26941377470 27928542446 30475960520 30744866054 30790145680 31918334224 32857108760 35136989776 37333051637 37717928458 39897917780 41492929520 42666344728 43106203952 43921237220 44374033480 53332930910 53882754940 55857084892 60951921040 61489732108 65714217520 69821356115 74666103274 75435856916 76862165135 79795835560 85332689456 87842474440 88748066960 94294821145 106665861820 107607031189 107765509880 111714169784 122979464216 139642712230 149332206548 150871713832 153724330270 159591671120 175684948880 186665258185 188589642290 213331723640 215214062378 215531019760 223428339568 245958928432 261331361459 279285424460 298664413096 301743427664 307448660540 373330516370 377179284580 426663447280 430428124756 522662722918 538035155945 558570848920 597328826192 614897321080 746661032740 754358569160 860856249512 1045325445836 1076070311890 1117141697840 1229794642160 1306656807295 1493322065480 1508717138320 1721712499024 1829319530213 2090650891672 2152140623780 2613313614590 2986644130960 3658639060426 4181301783344 4304281247560 5226627229180 7317278120852 8608562495120 9146597651065 10453254458360 14634556241704 18293195302130 20906508916720 29269112483408 36586390604260 73172781208520 146345562417040
• Sum of all divisors σ(n): 427983613795584
• Sum of proper divisors (its aliquot sum) s(n): 281638051378544
• 146345562417040 is an abundant number, because the sum of its proper divisors (281638051378544) is greater than itself. Its abundance is 135292488961504

Bases of 146345562417040

• Binary: 100001010001100110111011010000110010011110010000₂
• Hexadecimal: 0x8519BB432790
• Base-36: 1FVI81BZ4G

Squares and roots of 146345562417040

• 146345562417040 squared (146345562417040²) is 21417023639159750526882361600
• 146345562417040 cubed (146345562417040³) is 3134286369771874437111577675970239281664000
• The square root of 146345562417040 is 12097336.9969196113
• The cube root of 146345562417040 is 52697.8850738047

Scales and comparisons

• 146,345,562,417,040 seconds is equal to 4,653,336 years, 10 weeks, 5 days, 19 hours, 50 minutes, 40 seconds.
• To count from 1 to 146,345,562,417,040 would take you about eleven million, six hundred thirty-three thousand, three hundred forty 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 146345562417040 cubic inches would be around 4391.5 feet tall.

Recreational maths with 146345562417040

• 146345562417040 backwards is 040714265543641
• The number of decimal digits it has is: 15
• The sum of 146345562417040's digits is 52
• More coming soon!