137942121408
137,942,121,408 is an even composite number composed of seven prime numbers multiplied together.
137942121408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137942121408:
26 × 3 × 7 × 13 × 53 × 181 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 53 × 181 × 823)See below for interesting mathematical facts about the number 137942121408 from the Numbermatics database.
Names of 137942121408
- Cardinal: 137942121408 can be written as One hundred thirty-seven billion, nine hundred forty-two million, one hundred twenty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37942121408 × 1011
Factors of 137942121408
Divisors of 137942121408
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 53 56 64 78 84 91 96 104 106 112 156 159 168 181 182 192 208 212 224 273 312 318 336 362 364 371 416 424 448 543 546 624 636 672 689 724 728 742 823 832 848 1086 1092 1113 1248 1267 1272 1344 1378 1448 1456 1484 1646 1696 2067 2172 2184 2226 2353 2469 2496 2534 2544 2756 2896 2912 2968 3292 3392 3801 4134 4344 4368 4452 4706 4823 4938 5068 5088 5512 5761 5792 5824 5936 6584 7059 7602 8268 8688 8736 8904 9412 9593 9646 9876 10136 10176 10699 11024 11522 11584 11872 13168 14118 14469 15204 16471 16536 17283 17376 17472 17808 18824 19186 19292 19752 20272 21398 22048 23044 23744 26336 28236 28779 28938 30408 32097 32942 33072 34566 34752 35616 37648 38372 38584 39504 40544 42796 43619 44096 46088 49413 52672 56472 57558 57876 60816 64194 65884 66144 67151 69132 71232 74893 75296 76744 77168 79008 81088 85592 87238 92176 98826 112944 115116 115752 121632 124709 128388 130857 131768 132288 134302 138264 148963 149786 150592 153488 154336 158016 171184 174476 184352 197652 201453 224679 225888 230232 231504 243264 249418 256776 261714 263536 268604 276528 297926 299572 305333 306976 308672 342368 348952 368704 374127 395304 402906 446889 449358 451776 460464 463008 498836 513552 523428 527072 537208 553056 567047 595852 599144 610666 613952 684736 697904 748254 790608 805812 872963 893778 898716 915999 920928 926016 997672 1027104 1042741 1046856 1054144 1074416 1106112 1134094 1191704 1198288 1221332 1395808 1496508 1581216 1611624 1701141 1745926 1787556 1797432 1831998 1841856 1936519 1995344 2054208 2085482 2093712 2148832 2268188 2383408 2396576 2442664 2618889 2791616 2993016 3128223 3162432 3223248 3402282 3491852 3575112 3594864 3663996 3873038 3969329 3990688 4170964 4187424 4297664 4536376 4766816 4793152 4885328 5237778 5809557 5986032 6256446 6446496 6804564 6983704 7150224 7189728 7327992 7746076 7895039 7938658 7981376 8341928 8374848 9072752 9533632 9770656 10475556 11619114 11907987 11972064 12512892 12892992 13555633 13609128 13967408 14300448 14379456 14655984 15492152 15790078 15877316 16683856 18145504 19541312 20951112 23238228 23685117 23815974 23944128 25025784 27111266 27218256 27934816 28600896 29311968 30984304 31580156 31754632 33367712 36291008 40666899 41902224 46476456 47370234 47631948 50051568 54222532 54436512 55265273 55869632 58623936 61968608 63160312 63509264 66735424 81333798 83804448 92952912 94740468 95263896 100103136 102635507 108445064 108873024 110530546 123937216 126320624 127018528 162667596 165795819 167608896 185905824 189480936 190527792 200206272 205271014 216890128 221061092 252641248 254037056 307906521 325335192 331591638 371811648 378961872 381055584 410542028 433780256 442122184 505282496 615813042 650670384 663183276 718448549 757923744 762111168 821084056 867560512 884244368 1231626084 1301340768 1326366552 1436897098 1515847488 1642168112 1768488736 2155345647 2463252168 2602681536 2652733104 2873794196 3284336224 3536977472 4310691294 4926504336 5305466208 5747588392 6568672448 8621382588 9853008672 10610932416 11495176784 17242765176 19706017344 22990353568 34485530352 45980707136 68971060704 137942121408
- Sum of all divisors σ(n): 460759283712
- Sum of proper divisors (its aliquot sum) s(n): 322817162304
- 137942121408 is an abundant number, because the sum of its proper divisors (322817162304) is greater than itself. Its abundance is 184875040896
Bases of 137942121408
- Binary: 100000000111011111110110111011110000002
- Hexadecimal: 0x201DFDBBC0
- Base-36: 1RDB6E2O
Squares and roots of 137942121408
- 137942121408 squared (1379421214082) is 19028028858539411902464
- 137942121408 cubed (1379421214083) is 2624766666959571214202609342349312
-
The
square root of 137942121408 is 371405.6022840797 -
The
cube root of 137942121408 is 5166.9266965977
Scales and comparisons
How big is 137942121408?- 137,942,121,408 seconds is equal to 4,386 years, 6 weeks, 6 days, 7 hours, 56 minutes, 48 seconds.
-
To count from 1 to 137,942,121,408 would take you about eight thousand, seven hundred seventy-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 137942121408 cubic inches would be around 430.6 feet tall.
Recreational maths with 137942121408
- 137942121408 backwards is 804121249731
- 137942121408 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137942121408's digits is 42
- More coming soon!
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