146073249920
146,073,249,920 is an even composite number composed of seven prime numbers multiplied together.
146073249920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 146073249920:
27 × 5 × 13 × 31 × 67 × 79 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 67 × 79 × 107)See below for interesting mathematical facts about the number 146073249920 from the Numbermatics database.
Names of 146073249920
- Cardinal: 146073249920 can be written as One hundred forty-six billion, seventy-three million, two hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4607324992 × 1011
Factors of 146073249920
Divisors of 146073249920
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 67 79 80 104 107 124 128 130 134 155 158 160 208 214 248 260 268 310 316 320 335 395 403 416 428 496 520 535 536 620 632 640 670 790 806 832 856 871 992 1027 1040 1070 1072 1240 1264 1340 1391 1580 1612 1664 1712 1742 1984 2015 2054 2077 2080 2140 2144 2449 2480 2528 2680 2782 3160 3224 3317 3424 3484 3968 4030 4108 4154 4160 4280 4288 4355 4898 4960 5056 5135 5293 5360 5564 6320 6448 6634 6848 6955 6968 7169 8060 8216 8308 8320 8453 8560 8576 8710 9796 9920 10112 10270 10385 10586 10720 11128 12245 12640 12896 13268 13696 13910 13936 14338 16120 16432 16585 16616 16906 17120 17420 19592 19840 20540 20770 21172 21440 22256 24490 25280 25792 26465 26536 27001 27820 27872 28676 31837 32240 32864 33170 33232 33812 34240 34840 35845 39184 41080 41540 42265 42344 42880 43121 44512 48980 50560 51584 52930 53072 54002 55640 55744 57352 63674 64480 65728 66340 66464 67624 68480 68809 69680 71690 78368 82160 83080 84530 84688 86242 89024 93197 97960 105860 106144 108004 109889 111280 111488 114704 127348 128960 131456 132680 132928 135005 135248 137618 139360 143380 156736 159185 164083 164320 166160 169060 169376 172484 178048 186394 195920 211720 212288 215605 216008 219778 222239 222560 229408 254696 257920 262043 265360 265856 270010 270496 275236 278720 286760 313472 318370 328166 328640 332320 338120 338752 344045 344968 372788 391840 423440 424576 431210 432016 439556 444478 445120 458816 465985 509392 524086 530720 540020 540992 549445 550472 557440 566351 573520 636740 656332 657280 664640 676240 677504 688090 689936 745576 783680 820415 846880 862420 864032 879112 888956 890240 917632 931970 1018784 1048172 1061440 1080040 1081984 1098890 1100944 1111195 1132702 1147040 1273480 1310215 1312664 1329280 1352480 1376180 1379872 1491152 1567360 1640830 1693760 1724840 1728064 1758224 1777912 1863940 2037568 2096344 2122880 2133079 2160080 2197780 2201888 2222390 2265404 2294080 2546960 2620430 2625328 2704960 2752360 2759744 2831755 2889107 2982304 3281660 3387520 3406559 3449680 3456128 3516448 3555824 3727880 4075136 4192688 4266158 4320160 4395560 4403776 4444780 4530808 4588160 5093920 5240860 5250656 5409920 5504720 5519488 5663510 5778214 5964608 6563320 6813118 6899360 7032896 7111648 7362563 7455760 8385376 8532316 8640320 8791120 8807552 8889560 9061616 10187840 10481720 10501312 10665395 11009440 11327020 11556428 11929216 13126640 13626236 13798720 14065792 14223296 14445535 14725126 14911520 16770752 17032795 17064632 17280640 17556881 17582240 17779120 18123232 20375680 20963440 21002624 21330790 22018880 22654040 23112856 26253280 27252472 27597440 28446592 28891070 29450252 29823040 33541504 34065590 34129264 35113762 35164480 35558240 36246464 36812815 41926880 42661580 44037760 45308080 46225712 52506560 54504944 57782140 58900504 59646080 68131180 68258528 70227524 70328960 71116480 72492928 73625630 83853760 85323160 87784405 90616160 92451424 105013120 109009888 115564280 117801008 136262360 136517056 140455048 142232960 147251260 167707520 170646320 175568810 181232320 184902848 218019776 228239453 231128560 235602016 272524720 273034112 280910096 294502520 341292640 351137620 362464640 369805696 436039552 456478906 462257120 471204032 545049440 561820192 589005040 682585280 702275240 912957812 924514240 942408064 1090098880 1123640384 1141197265 1178010080 1365170560 1404550480 1825915624 1849028480 2180197760 2247280768 2282394530 2356020160 2809100960 3651831248 4564789060 4712040320 5618201920 7303662496 9129578120 11236403840 14607324992 18259156240 29214649984 36518312480 73036624960 146073249920
- Sum of all divisors σ(n): 402709708800
- Sum of proper divisors (its aliquot sum) s(n): 256636458880
- 146073249920 is an abundant number, because the sum of its proper divisors (256636458880) is greater than itself. Its abundance is 110563208960
Bases of 146073249920
- Binary: 100010000000101010010011101000100000002
- Hexadecimal: 0x2202A4E880
- Base-36: 1V3S8OZK
Squares and roots of 146073249920
- 146073249920 squared (1460732499202) is 21337394342190780006400
- 146073249920 cubed (1460732499203) is 3116822536388427808194606399488000
-
The
square root of 146073249920 is 382195.3033725035 -
The
cube root of 146073249920 is 5266.5178917187
Scales and comparisons
How big is 146073249920?- 146,073,249,920 seconds is equal to 4,644 years, 35 weeks, 1 day, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 146,073,249,920 would take you about nine thousand, two hundred eighty-nine 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 146073249920 cubic inches would be around 438.9 feet tall.
Recreational maths with 146073249920
- 146073249920 backwards is 029942370641
- The number of decimal digits it has is: 12
- The sum of 146073249920's digits is 47
- More coming soon!
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