138313319200

Names of 138313319200

• Cardinal: 138313319200 can be written as One hundred thirty-eight billion, three hundred thirteen million, three hundred nineteen thousand, two hundred.

Scientific notation

• Scientific notation: 1.383133192 × 10¹¹

Factors of 138313319200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 481

Divisors of 138313319200

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 68 70 80 85 98 100 112 116 119 136 140 145 160 170 175 196 200 203 224 232 238 245 272 280 289 290 340 350 392 400 406 421 425 464 476 490 493 544 560 578 580 595 680 700 725 784 800 812 833 842 850 928 952 980 986 1015 1120 1156 1160 1190 1225 1360 1400 1421 1445 1450 1568 1624 1666 1684 1700 1904 1960 1972 2023 2030 2105 2312 2320 2380 2450 2465 2720 2800 2842 2890 2900 2947 2975 3248 3332 3368 3400 3451 3808 3920 3944 4046 4060 4165 4210 4624 4640 4760 4900 4930 5075 5600 5684 5780 5800 5894 5950 6496 6664 6736 6800 6902 7105 7157 7225 7840 7888 8092 8120 8330 8381 8420 9248 9520 9800 9860 10115 10150 10525 11368 11560 11600 11788 11900 12209 12325 13328 13472 13600 13804 14161 14210 14314 14450 14735 15776 16184 16240 16660 16762 16840 17255 19040 19600 19720 20230 20300 20629 20825 21050 22736 23120 23200 23576 23800 24157 24418 24650 26656 27608 28322 28420 28628 28900 29470 32368 32480 33320 33524 33680 34510 35525 35785 39200 39440 40460 40600 41258 41650 41905 42100 45472 46240 47152 47600 48314 48836 49300 50099 50575 55216 56644 56840 57256 57800 58667 58940 61045 64736 66640 67048 67360 69020 70805 71050 71570 73675 78880 80920 81200 82516 83300 83810 84200 85463 86275 94304 95200 96628 97672 98600 100198 101150 103145 110432 113288 113680 114512 115600 117334 117880 120785 121669 122090 133280 134096 138040 141610 142100 143140 147350 161840 162400 165032 166600 167620 168400 170926 172550 178925 193256 195344 197200 200396 202300 206290 207553 209525 226576 227360 229024 231200 234668 235760 241570 243338 244180 250495 268192 276080 283220 284200 286280 293335 294700 305225 323680 330064 333200 335240 336800 341852 345100 350693 354025 357850 386512 390688 394400 400792 404600 410669 412580 415106 419050 427315 453152 469336 471520 483140 486676 488360 500990 515725 552160 566440 568400 572560 586670 589400 598241 603925 608345 610450 660128 666400 670480 683704 690200 701386 708050 715700 773024 801584 809200 821338 825160 830212 838100 851683 854630 938672 966280 973352 976720 1001980 1031450 1037765 1132880 1136800 1145120 1173340 1178800 1196482 1207850 1216690 1220900 1252475 1340960 1367408 1380400 1402772 1416100 1431400 1452871 1466675 1603168 1618400 1642676 1650320 1660424 1676200 1703366 1709260 1753465 1877344 1932560 1946704 1953440 2003960 2053345 2062900 2075530 2136575 2265760 2346680 2357600 2392964 2415700 2433380 2441800 2504950 2734816 2760800 2805544 2832200 2862800 2905742 2933350 2991205 3041725 3285352 3300640 3320848 3352400 3406732 3418520 3506930 3528401 3865120 3893408 4007920 4106690 4125800 4151060 4258415 4273150 4693360 4785928 4831400 4866760 4883600 5009900 5188825 5611088 5664400 5725600 5811484 5866700 5961781 5982410 6083450 6570704 6641696 6704800 6813464 6837040 7013860 7056802 7264355 8015840 8213380 8251600 8302120 8516830 8546300 8767325 9386720 9571856 9662800 9733520 9767200 10019800 10170097 10266725 10377650 11222176 11328800 11622968 11733400 11923562 11964820 12166900 13141408 13626928 13674080 14027720 14113604 14528710 14956025 16426760 16503200 16604240 17033660 17092600 17534650 17642005 19143712 19325600 19467040 20039600 20340194 20533450 20755300 21292075 23245936 23466800 23847124 23929640 24333800 24698807 27253856 28055440 28227208 29057420 29808905 29912050 32853520 33208480 34067320 34185200 35069300 35284010 36321775 40079200 40680388 41066900 41510600 42584150 46491872 46933600 47694248 47859280 48667600 49397614 50850485 56110880 56454416 58114840 59617810 59824100 65707040 68134640 68370400 70138600 70568020 72643550 81360776 82133800 83021200 85168300 88210025 95388496 95718560 97335200 98795228 101700970 112908832 116229680 119235620 119648200 123494035 136269280 140277200 141136040 145287100 149044525 162721552 164267600 166042400 170336600 172891649 176420050 190776992 197590456 203401940 232459360 238471240 239296400 246988070 254252425 280554400 282272080 290574200 298089050 325443104 328535200 340673200 345783298 352840100 395180912 406803880 476942480 478592800 493976140 508504850 564544160 581148400 596178100 617470175 681346400 691566596 705680200 790361824 813607760 864458245 953884960 987952280 1017009700 1162296800 1192356200 1234940350 1383133192 1411360400 1627215520 1728916490 1975904560 2034019400 2384712400 2469880700 2766266384 2822720800 3457832980 3951809120 4068038800 4322291225 4769424800 4939761400 5532532768 6915665960 8136077600 8644582450 9879522800 13831331920 17289164900 19759045600 27662663840 34578329800 69156659600 138313319200
• Sum of all divisors σ(n): 432662425020
• Sum of proper divisors (its aliquot sum) s(n): 294349105820
• 138313319200 is an abundant number, because the sum of its proper divisors (294349105820) is greater than itself. Its abundance is 156035786620

Bases of 138313319200

• Binary: 10000000110100000111011100001100100000₂
• Hexadecimal: 0x20341DC320
• Base-36: 1RJG6G4G

Squares and roots of 138313319200

• 138313319200 squared (138313319200²) is 19130574268121088640000
• 138313319200 cubed (138313319200³) is 2646013225225938517315813888000000
• The square root of 138313319200 is 371904.9867909813
• The cube root of 138313319200 is 5171.5572231473

Scales and comparisons

• 138,313,319,200 seconds is equal to 4,397 years, 48 weeks, 4 days, 14 hours, 26 minutes, 40 seconds.
• To count from 1 to 138,313,319,200 would take you about eight thousand, seven hundred ninety-five 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 138313319200 cubic inches would be around 431 feet tall.

Recreational maths with 138313319200

• 138313319200 backwards is 002913313831
• 138313319200 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138313319200's digits is 34
• More coming soon!