137474342208
137,474,342,208 is an even composite number composed of six prime numbers multiplied together.
137474342208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137474342208:
26 × 33 × 7 × 83 × 149 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 83 × 149 × 919)See below for interesting mathematical facts about the number 137474342208 from the Numbermatics database.
Names of 137474342208
- Cardinal: 137474342208 can be written as One hundred thirty-seven billion, four hundred seventy-four million, three hundred forty-two thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.37474342208 × 1011
Factors of 137474342208
Divisors of 137474342208
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 83 84 96 108 112 126 144 149 166 168 189 192 216 224 249 252 288 298 332 336 378 432 447 448 498 504 576 581 596 664 672 747 756 864 894 919 996 1008 1043 1162 1192 1328 1341 1344 1494 1512 1728 1743 1788 1838 1992 2016 2086 2241 2324 2384 2656 2682 2757 2988 3024 3129 3486 3576 3676 3984 4023 4032 4172 4482 4648 4768 5229 5312 5364 5514 5976 6048 6258 6433 6972 7152 7352 7968 8046 8271 8344 8964 9296 9387 9536 10458 10728 11028 11952 12096 12367 12516 12866 13944 14304 14704 15687 15936 16092 16542 16688 17928 18592 18774 19299 20916 21456 22056 23904 24734 24813 25032 25732 27888 28161 28608 29408 31374 32184 33084 33376 35856 37101 37184 37548 38598 41832 42912 44112 47808 49468 49626 50064 51464 55776 56322 57897 58816 62748 64368 66168 66752 71712 74202 75096 76277 77196 83664 85824 86569 88224 98936 99252 100128 102928 111303 111552 112644 115794 125496 128736 132336 136931 143424 148404 150192 152554 154392 167328 173138 173691 176448 197872 198504 200256 205856 222606 225288 228831 231588 250992 257472 259707 264672 273862 296808 300384 305108 308784 333909 334656 346276 347382 395744 397008 410793 411712 445212 450576 457662 463176 501984 519414 529344 533939 547724 593616 600768 610216 617568 667818 686493 692552 694764 779121 791488 794016 821586 890424 901152 915324 926352 958517 1003968 1038828 1067878 1095448 1187232 1220432 1232379 1235136 1335636 1372986 1385104 1389528 1558242 1588032 1601817 1643172 1780848 1802304 1830648 1852704 1917034 2059479 2077656 2135756 2190896 2337363 2374464 2440864 2464758 2671272 2745972 2770208 2779056 2875551 3116484 3203634 3286344 3561696 3661296 3697137 3705408 3834068 4118958 4155312 4271512 4381792 4674726 4805451 4881728 4929516 5342544 5491944 5540416 5558112 5751102 6232968 6407268 6572688 7123392 7322592 7394274 7668136 8237916 8310624 8543024 8626653 8763584 9349452 9610902 9859032 10685088 10983888 11116224 11365273 11502204 12465936 12814536 13145376 14416353 14645184 14788548 15336272 16475832 16621248 17086048 17253306 18698904 19221804 19718064 21370176 21967776 22730546 23004408 24931872 25629072 25879959 26290752 28832706 29577096 30672544 32951664 34095819 34172096 34506612 37397808 38443608 39436128 43935552 45461092 46008816 49863744 51258144 51759918 57665412 59154192 61345088 65903328 68191638 69013224 74795616 76887216 78872256 79556911 90922184 92017632 102287457 102516288 103519836 115330824 118308384 131806656 136383276 138026448 149591232 153774432 159113822 181844368 184035264 204574914 207039672 230661648 236616768 238670733 272766552 276052896 306862371 307548864 318227644 363688736 409149828 414079344 461323296 477341466 545533104 552105792 613724742 636455288 716012199 727377472 818299656 828158688 922646592 954682932 1091066208 1227449484 1272910576 1432024398 1636599312 1656317376 1909365864 2148036597 2182132416 2454898968 2545821152 2864048796 3273198624 3818731728 4296073194 4909797936 5091642304 5728097592 6546397248 7637463456 8592146388 9819595872 11456195184 15274926912 17184292776 19639191744 22912390368 34368585552 45824780736 68737171104 137474342208
- Sum of all divisors σ(n): 471098880000
- Sum of proper divisors (its aliquot sum) s(n): 333624537792
- 137474342208 is an abundant number, because the sum of its proper divisors (333624537792) is greater than itself. Its abundance is 196150195584
Bases of 137474342208
- Binary: 100000000000100001101111111101010000002
- Hexadecimal: 0x20021BFD40
- Base-36: 1R5KO9C0
Squares and roots of 137474342208
- 137474342208 squared (1374743422082) is 18899194765522290315264
- 137474342208 cubed (1374743422083) is 2598154368651053658652527341862912
-
The
square root of 137474342208 is 370775.3257809909 -
The
cube root of 137474342208 is 5161.0795145411
Scales and comparisons
How big is 137474342208?- 137,474,342,208 seconds is equal to 4,371 years, 13 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
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To count from 1 to 137,474,342,208 would take you about eight thousand, seven hundred forty-two 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 137474342208 cubic inches would be around 430.1 feet tall.
Recreational maths with 137474342208
- 137474342208 backwards is 802243474731
- The number of decimal digits it has is: 12
- The sum of 137474342208's digits is 45
- More coming soon!
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