137542100328
137,542,100,328 is an even composite number composed of six prime numbers multiplied together.
137542100328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137542100328:
23 × 33 × 17 × 193 × 43 × 127
(2 × 2 × 2 × 3 × 3 × 3 × 17 × 19 × 19 × 19 × 43 × 127)See below for interesting mathematical facts about the number 137542100328 from the Numbermatics database.
Names of 137542100328
- Cardinal: 137542100328 can be written as One hundred thirty-seven billion, five hundred forty-two million, one hundred thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37542100328 × 1011
Factors of 137542100328
Divisors of 137542100328
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 43 51 54 57 68 72 76 86 102 108 114 127 129 136 152 153 171 172 204 216 228 254 258 306 323 342 344 361 381 387 408 456 459 508 513 516 612 646 684 722 731 762 774 817 918 969 1016 1026 1032 1083 1143 1161 1224 1292 1368 1444 1462 1524 1548 1634 1836 1938 2052 2159 2166 2193 2286 2322 2413 2451 2584 2888 2907 2924 3048 3096 3249 3268 3429 3672 3876 4104 4318 4332 4386 4572 4644 4826 4902 5461 5814 5848 6137 6477 6498 6536 6579 6858 6859 7239 7353 7752 8636 8664 8721 8772 9144 9288 9652 9747 9804 10922 11628 12274 12954 12996 13158 13716 13718 13889 14478 14706 15523 16383 17272 17442 17544 18411 19304 19431 19494 19608 19737 20577 21717 21844 22059 23256 24548 25908 25992 26316 27432 27436 27778 28956 29412 31046 32766 34884 36822 38862 38988 39474 41021 41154 41667 43434 43688 44118 45847 46569 49096 49149 51816 52632 54872 55233 55556 57912 58293 58824 61731 62092 65151 65532 69768 73644 77724 77976 78948 82042 82308 83334 86868 88236 91694 92837 93138 98298 103759 110466 111112 116586 116603 123063 123462 124184 125001 130302 131064 137541 139707 147288 147447 155448 157896 164084 164616 165699 166668 173736 176472 183388 185193 185674 186276 196596 207518 220932 233172 233206 246126 246924 250002 260604 263891 275082 278511 279414 294894 294937 311277 328168 331398 333336 349809 366776 369189 370386 371348 372552 375003 393192 412623 415036 419121 441864 466344 466412 492252 493848 500004 521208 527782 550164 557022 558828 589788 589874 622554 662796 699618 738378 740772 742696 750006 779399 791673 825246 830072 835533 838242 871093 884811 932824 933831 984504 1000008 1049427 1055564 1100328 1107567 1114044 1117656 1179576 1179748 1237869 1245108 1325592 1399236 1476756 1481544 1500012 1558798 1583346 1650492 1671066 1676484 1742186 1763903 1769622 1867662 1971421 2098854 2111128 2215134 2228088 2338197 2359496 2375019 2475738 2490216 2506599 2613279 2654433 2798472 2801493 2953512 3000024 3117596 3148281 3166692 3300984 3342132 3352968 3484372 3527806 3539244 3735324 3942842 4197708 4430268 4676394 4750038 4951476 5013198 5013929 5226558 5291709 5308866 5602986 5914263 6235192 6296562 6333384 6684264 6968744 7014591 7055612 7078488 7125057 7470648 7839837 7885684 7963299 8395416 8860536 9352788 9500076 9902952 10026396 10027858 10453116 10583418 10617732 11205972 11828526 12593124 14029182 14111224 14250114 14808581 15041787 15679674 15771368 15875127 15926598 17742789 18705576 19000152 20052792 20055716 20906232 21043773 21166836 21235464 22411944 23519511 23657052 25186248 28058364 28500228 29617162 30083574 31359348 31750254 31853196 33514157 35485578 37456999 40111432 42087546 42333672 44425743 45125361 47039022 47314104 47625381 53228367 56116728 57000456 59234324 60167148 62718696 63500508 63706392 67028314 70971156 74913998 84175092 88851486 90250722 94078044 95250762 100542471 106456734 112370997 118468648 120334296 127001016 133277229 134056628 135376083 141942312 149827996 168350184 177702972 180501444 188156088 190501524 201084942 212913468 224741994 266554458 268113256 270752166 299655992 301627413 337112991 355405944 361002888 381003048 399831687 402169884 425826936 449483988 533108916 541504332 603254826 636768983 674225982 799663374 804339768 898967976 904882239 1011338973 1066217832 1083008664 1206509652 1273537966 1348451964 1599326748 1809764478 1910306949 2022677946 2413019304 2547075932 2696903928 3198653496 3619528956 3820613898 4045355892 5094151864 5730920847 7239057912 7641227796 8090711784 11461841694 15282455592 17192762541 22923683388 34385525082 45847366776 68771050164 137542100328
- Sum of all divisors σ(n): 440377344000
- Sum of proper divisors (its aliquot sum) s(n): 302835243672
- 137542100328 is an abundant number, because the sum of its proper divisors (302835243672) is greater than itself. Its abundance is 165293143344
Bases of 137542100328
- Binary: 100000000001100010010111100101011010002
- Hexadecimal: 0x200625E568
- Base-36: 1R6P0JU0
Squares and roots of 137542100328
- 137542100328 squared (1375421003282) is 18917829362637617707584
- 137542100328 cubed (1375421003283) is 2601997984183887509443427894487552
-
The
square root of 137542100328 is 370866.6880807713 -
The
cube root of 137542100328 is 5161.9273033023
Scales and comparisons
How big is 137542100328?- 137,542,100,328 seconds is equal to 4,373 years, 21 weeks, 3 days, 10 hours, 58 minutes, 48 seconds.
-
To count from 1 to 137,542,100,328 would take you about eight thousand, seven hundred forty-six 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 137542100328 cubic inches would be around 430.2 feet tall.
Recreational maths with 137542100328
- 137542100328 backwards is 823001245731
- 137542100328 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137542100328's digits is 36
- More coming soon!
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