137064746209920

Names of 137064746209920

• Cardinal: 137064746209920 can be written as One hundred thirty-seven trillion, sixty-four billion, seven hundred forty-six million, two hundred nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3706474620992 × 10¹⁴

Factors of 137064746209920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3999

Divisors of 137064746209920

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 113 120 128 129 160 172 192 215 226 240 258 320 339 344 384 430 452 480 516 565 640 645 678 688 860 904 960 1032 1130 1290 1356 1376 1695 1720 1808 1920 2064 2260 2580 2712 2752 3390 3440 3616 3833 4128 4520 4859 5160 5424 5504 6780 6880 7232 7666 8256 9040 9718 10320 10848 11499 13560 13760 14464 14577 15332 16512 18080 19165 19436 20640 21696 22998 24295 27120 27520 29154 30664 36160 38330 38872 41280 43392 45996 48590 54240 57495 58308 61328 72320 72885 76660 77744 82560 91992 97180 108480 114990 116616 122656 145770 153320 155488 164819 183984 194360 216960 229980 233232 245312 291540 306640 310976 329638 367968 388720 433129 459960 466464 490624 494457 583080 613280 621952 659276 735936 777440 824095 866258 919920 932928 988914 1166160 1226560 1299387 1318552 1471872 1554880 1648190 1732516 1839840 1865856 1977828 2165645 2332320 2453120 2472285 2598774 2637104 3109760 3296380 3465032 3679680 3955656 4331290 4664640 4944570 5197548 5274208 6496935 6592760 6930064 7359360 7911312 8662580 9329280 9889140 10395096 10548416 12993870 13185520 13860128 14691889 15822624 17325160 18624547 19778280 20790192 21096832 25987740 26371040 27720256 29383778 31645248 34650320 37249094 39556560 41580384 44075667 51975480 52742080 55440512 55873641 58767556 63290496 69300640 73459445 74498188 79113120 83160768 88151334 93122735 103950960 105484160 111747282 117535112 138601280 146918890 148996376 158226240 166321536 176302668 186245470 207901920 220378335 223494564 235070224 277202560 279368205 293837780 297992752 316452480 352605336 372490940 415803840 440756670 446989128 470140448 558736410 587675560 595985504 631751227 705210672 744981880 831607680 881513340 893978256 940280896 1117472820 1175351120 1191971008 1263502454 1410421344 1489963760 1660183457 1763026680 1787956512 1880561792 1895253681 2234945640 2350702240 2383942016 2527004908 2820842688 2979927520 3158756135 3320366914 3526053360 3575913024 3790507362 4469891280 4701404480 4980550371 5054009816 5641685376 5959855040 6317512270 6640733828 7052106720 7151826048 7581014724 8300917285 8939782560 9402808960 9476268405 9961100742 10108019632 11919710080 12635024540 13281467656 14104213440 15162029448 16601834570 17879565120 18952536810 19922201484 20216039264 24902751855 25270049080 26562935312 28208426880 30324058896 33203669140 35759130240 37905073620 39844402968 40432078528 49805503710 50540098160 53125870624 60648117792 66407338280 71387888651 75810147240 79688805936 80864157056 99611007420 101080196320 106251741248 121296235584 132814676560 142775777302 151620294480 159377611872 199222014840 202160392640 212503482496 214163665953 242592471168 265629353120 285551554604 303240588960 318755223744 356939443255 398444029680 404320785280 428327331906 531258706240 571103109208 606481177920 637510447488 713878886510 796888059360 856654663812 1062517412480 1070818329765 1142206218416 1212962355840 1427757773020 1593776118720 1713309327624 2141636659530 2284412436832 2855515546040 3187552237440 3426618655248 4283273319060 4568824873664 5711031092080 6853237310496 8566546638120 9137649747328 11422062184160 13706474620992 17133093276240 22844124368320 27412949241984 34266186552480 45688248736640 68532373104960 137064746209920
• Sum of all divisors σ(n): 451128128996160
• Sum of proper divisors (its aliquot sum) s(n): 314063382786240
• 137064746209920 is an abundant number, because the sum of its proper divisors (314063382786240) is greater than itself. Its abundance is 176998636576320

Bases of 137064746209920

• Binary: 11111001010100011011111100000100101001010000000₂
• Hexadecimal: 0x7CA8DF825280
• Base-36: 1CL2OAZIIO

Squares and roots of 137064746209920

• 137064746209920 squared (137064746209920²) is 18786744653589779004706406400
• 137064746209920 cubed (137064746209920³) is 2575000388054854485157782806456743231488000
• The square root of 137064746209920 is 11707465.4050276825
• The cube root of 137064746209920 is 51559.4871357373

Scales and comparisons

• 137,064,746,209,920 seconds is equal to 4,358,234 years, 49 weeks, 6 days, 13 hours, 52 minutes.
• To count from 1 to 137,064,746,209,920 would take you about ten million, eight hundred ninety-five thousand, five hundred eighty-seven 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 137064746209920 cubic inches would be around 4296.6 feet tall.

Recreational maths with 137064746209920

• 137064746209920 backwards is 029902647460731
• 137064746209920 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137064746209920's digits is 60
• More coming soon!