138628335120

Names of 138628335120

• Cardinal: 138628335120 can be written as One hundred thirty-eight billion, six hundred twenty-eight million, three hundred thirty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3862833512 × 10¹¹

Factors of 138628335120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 375

Divisors of 138628335120

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 121 132 148 165 176 185 220 222 240 242 264 296 317 330 363 370 407 440 444 484 528 555 592 605 634 660 726 740 814 880 888 951 968 1110 1210 1221 1268 1320 1331 1369 1452 1480 1585 1628 1776 1815 1902 1936 2035 2220 2420 2442 2536 2640 2662 2738 2904 2960 3170 3256 3487 3630 3804 3993 4070 4107 4440 4477 4755 4840 4884 5072 5324 5476 5808 6105 6340 6512 6655 6845 6974 7260 7608 7986 8140 8214 8880 8954 9510 9680 9768 10461 10648 10952 11729 12210 12680 13310 13431 13690 13948 14520 15059 15216 15972 16280 16428 17435 17908 19020 19536 19965 20535 20922 21296 21904 22385 23458 24420 25360 26620 26862 27380 27896 29040 30118 31944 32560 32856 34870 35187 35816 38040 38357 39930 41070 41844 44770 45177 46916 48840 49247 52305 53240 53724 54760 55792 58645 60236 63888 65712 67155 69740 70374 71632 75295 76080 76714 79860 82140 83688 89540 90354 93832 97680 98494 104610 106480 107448 109520 115071 117290 120472 129019 134310 139480 140748 147741 150590 153428 159720 164280 165649 167376 175935 179080 180708 187664 191785 196988 209220 214896 225885 230142 234580 240944 246235 258038 268620 278960 281496 295482 301180 306856 319440 328560 331298 351870 358160 361416 383570 387057 393976 418440 421927 433973 451770 460284 469160 492470 496947 516076 537240 562992 575355 590964 602360 613712 645095 662596 703740 722832 738705 767140 774114 787952 828245 836880 843854 867946 903540 920568 938320 984940 993894 1032152 1074480 1150710 1181928 1204720 1265781 1290190 1301919 1325192 1407480 1419209 1477410 1534280 1548228 1656490 1687708 1735892 1807080 1822139 1841136 1935285 1969880 1987788 2064304 2109635 2169865 2301420 2363856 2484735 2531562 2580380 2603838 2650384 2814960 2838418 2954820 3068560 3096456 3312980 3375416 3471784 3614160 3644278 3870570 3939760 3975576 4219270 4257627 4339730 4602840 4773703 4969470 5063124 5160760 5207676 5466417 5676836 5909640 6192912 6328905 6509595 6625960 6750832 6943568 7096045 7288556 7741140 7951152 8438540 8515254 8679460 9110695 9205680 9547406 9938940 10126248 10321520 10415352 10932834 11353672 11819280 12657810 13019190 13251920 14192090 14321109 14577112 15482280 15611299 16877080 17030508 17358920 18221390 19094812 19877880 20252496 20830704 21288135 21865668 22707344 23868515 25315620 26038380 27332085 28384180 28642218 29154224 30964560 31222598 33754160 34061016 34717840 36442780 38189624 39755760 42576270 43731336 46833897 47737030 50631240 52076760 52510733 54664170 56768360 57284436 62445196 68122032 71605545 72885560 76379248 78056495 85152540 87462672 93667794 95474060 101262480 104153520 105021466 109328340 113536720 114568872 124890392 143211090 145771120 156112990 157532199 170305080 187335588 190948120 210042932 218656680 229137744 234169485 249780784 262553665 286422180 312225980 315064398 340610160 374671176 381896240 420085864 437313360 468338970 525107330 572844360 577618063 624451960 630128796 749342352 787660995 840171728 936677940 1050214660 1145688720 1155236126 1248903920 1260257592 1575321990 1732854189 1873355880 2100429320 2310472252 2520515184 2888090315 3150643980 3465708378 3746711760 4200858640 4620944504 5776180630 6301287960 6931416756 8664270945 9241889008 11552361260 12602575920 13862833512 17328541890 23104722520 27725667024 34657083780 46209445040 69314167560 138628335120
• Sum of all divisors σ(n): 487343558016
• Sum of proper divisors (its aliquot sum) s(n): 348715222896
• 138628335120 is an abundant number, because the sum of its proper divisors (348715222896) is greater than itself. Its abundance is 210086887776

Bases of 138628335120

• Binary: 10000001000110111001001000011000010000₂
• Hexadecimal: 0x2046E48610
• Base-36: 1RONQBYO

Squares and roots of 138628335120

• 138628335120 squared (138628335120²) is 19217815298143025414400
• 138628335120 cubed (138628335120³) is 2664133739425234040838120073728000
• The square root of 138628335120 is 372328.2625855845
• The cube root of 138628335120 is 5175.4804115139

Scales and comparisons

• 138,628,335,120 seconds is equal to 4,407 years, 49 weeks, 3 days, 14 hours, 52 minutes.
• To count from 1 to 138,628,335,120 would take you about eight thousand, eight hundred fifteen 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 138628335120 cubic inches would be around 431.3 feet tall.

Recreational maths with 138628335120

• 138628335120 backwards is 021533826831
• The number of decimal digits it has is: 12
• The sum of 138628335120's digits is 42
• More coming soon!