137004094656

Names of 137004094656

• Cardinal: 137004094656 can be written as One hundred thirty-seven billion, four million, ninety-four thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 1.37004094656 × 10¹¹

Factors of 137004094656

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 256

Divisors of 137004094656

• Number of divisors d(n): 1120
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 64 66 71 72 76 78 81 88 96 99 104 108 114 117 132 137 142 143 144 152 156 162 171 176 192 198 208 209 213 216 228 234 247 264 274 284 286 288 297 304 312 324 342 351 352 396 411 416 418 426 429 432 456 468 494 513 528 548 568 572 576 594 608 624 627 639 648 684 702 704 741 781 792 822 832 836 852 858 864 891 912 923 936 988 1026 1053 1056 1096 1136 1144 1188 1216 1233 1248 1254 1278 1287 1296 1349 1368 1404 1482 1507 1539 1562 1584 1644 1672 1704 1716 1728 1781 1782 1824 1846 1872 1881 1917 1976 2052 2106 2112 2192 2223 2272 2288 2343 2376 2466 2496 2508 2556 2574 2592 2603 2698 2717 2736 2769 2808 2964 3014 3078 3124 3168 3288 3344 3408 3432 3562 3564 3648 3692 3699 3744 3762 3834 3861 3952 4047 4104 4212 4384 4446 4521 4544 4576 4686 4752 4932 5016 5112 5148 5184 5206 5343 5396 5434 5472 5538 5616 5643 5751 5928 6028 6156 6248 6336 6576 6669 6688 6816 6864 7029 7124 7128 7384 7398 7488 7524 7668 7722 7809 7904 8094 8151 8208 8307 8424 8768 8892 9042 9152 9372 9504 9727 9864 10032 10153 10224 10296 10412 10686 10792 10868 10944 11076 11097 11232 11286 11502 11583 11856 12056 12141 12312 12496 13152 13338 13376 13563 13632 13728 14058 14248 14256 14768 14796 14839 15048 15336 15444 15618 15808 16029 16188 16302 16416 16614 16848 16929 17537 17784 18084 18744 19008 19454 19591 19728 20007 20064 20306 20448 20592 20824 21087 21372 21584 21736 22152 22194 22464 22572 23004 23166 23427 23712 24112 24282 24453 24624 24921 24992 26304 26676 27126 27456 28116 28496 28512 28633 29181 29536 29592 29678 30096 30459 30672 30888 31236 32058 32376 32604 32832 33228 33696 33839 33858 35074 35568 36168 36423 37488 38908 39182 39456 40014 40128 40612 40689 40896 41184 41648 42174 42744 43168 43472 44304 44388 44517 45144 46008 46332 46854 47424 48087 48224 48564 48906 49248 49842 49984 52611 53352 54252 56232 56992 57024 57266 58362 58773 59072 59184 59356 60192 60918 61344 61776 62472 63261 64116 64752 65208 66456 67392 67678 67716 70148 70281 71136 72336 72846 73359 74763 74976 77816 78364 78912 80028 81224 81378 82368 83296 84348 85488 85899 86336 86944 87543 88608 88776 89034 90288 91377 92016 92664 93708 96174 96448 97128 97812 98496 99684 101517 105222 106704 106997 108504 109269 112464 113984 114532 116724 117546 118368 118712 120384 121836 122067 122688 123552 124944 126451 126522 128232 129504 130416 132912 133551 135356 135432 140296 140562 142272 144261 144672 145692 146718 149526 149952 155632 156728 157833 160056 162448 162756 166592 168696 170976 171798 173888 175086 176319 177216 177552 178068 180576 182754 184032 184813 185328 187416 192348 192907 194256 195624 199368 203034 210444 210843 213408 213994 217008 218538 220077 224928 229064 233448 235092 236736 237424 243672 244134 247104 249888 252902 253044 256464 257697 259008 260832 262629 265824 267102 270712 270864 274131 280592 281124 288522 289344 291384 293436 299052 304551 311264 313456 315666 320112 320991 324896 325512 337392 341952 343596 350172 352638 355104 356136 361152 365508 368064 369626 370656 372229 374832 379353 384696 385814 388512 391248 398736 400653 406068 420888 421686 426816 427988 434016 437076 440154 449856 458128 466896 470184 473499 474848 487344 488268 499776 505804 506088 512928 515394 521664 525258 528957 531648 534204 541424 541728 548262 554439 561184 562248 577044 578721 582768 586872 598104 609102 622528 626912 631332 640224 641982 649792 651024 674784 687192 700344 705276 710208 712272 731016 739252 741312 744458 749664 758706 769392 771628 773091 777024 782496 787887 797472 801306 812136 822393 841776 843372 855976 868032 874152 880308 913653 916256 933792 940368 946998 949696 962973 974688 976536 1011608 1012176 1025856 1030788 1050516 1057914 1068408 1082848 1083456 1096524 1108878 1116687 1122368 1124496 1138059 1154088 1157442 1165536 1173744 1196208 1201959 1218204 1253824 1262664 1280448 1283964 1302048 1349568 1374384 1390961 1400688 1410552 1420497 1424544 1462032 1478504 1488916 1499328 1517412 1538784 1543256 1546182 1564992 1575774 1586871 1594944 1602612 1624272 1644786 1663317 1683552 1686744 1711952 1736163 1748304 1760616 1827306 1832512 1867584 1880736 1893996 1925946 1949376 1953072 2023216 2024352 2032943 2061576 2101032 2115828 2136816 2165696 2193048 2217756 2233374 2248992 2276118 2308176 2314884 2319273 2331072 2347488 2392416 2402569 2403918 2436408 2525328 2567928 2604096 2740959 2748768 2781922 2801376 2821104 2840994 2849088 2888919 2924064 2957008 2977832 3034824 3077568 3086512 3092364 3151548 3173742 3205224 3248544 3289572 3326634 3350061 3367104 3373488 3414177 3423904 3472326 3496608 3521232 3654612 3761472 3787992 3851892 3906144 4046432 4048704 4065886 4123152 4172883 4202064 4231656 4273632 4386096 4435512 4466748 4497984 4552236 4616352 4629768 4638546 4694976 4784832 4805138 4807836 4872816 4989951 5050656 5135856 5208489 5481918 5497536 5563844 5602752 5642208 5681988 5777838 5848128 5914016 5955664 6069648 6098829 6173024 6184728 6303096 6347484 6410448 6497088 6579144 6653268 6700122 6746976 6828354 6847808 6944652 6993216 7042464 7207707 7309224 7575984 7703784 7812288 8092864 8131772 8246304 8345766 8404128 8463312 8547264 8666757 8772192 8871024 8933496 9104472 9232704 9259536 9277092 9610276 9615672 9745632 9979902 10050183 10101312 10242531 10271712 10416978 10963836 11127688 11284416 11363976 11555676 11828032 11911328 12139296 12197658 12346048 12369456 12518649 12606192 12694968 12820896 13158288 13306536 13400244 13493952 13656708 13889304 14084928 14415414 14618448 14969853 15151968 15407568 15625467 16263544 16492608 16691532 16808256 16926624 17333514 17544384 17742048 17866992 18208944 18296487 18519072 18554184 19220552 19231344 19491264 19959804 20100366 20485062 20543424 20833956 21623121 21927672 22255376 22727952 23111352 23822656 24278592 24395316 24738912 25037298 25212384 25389936 25641792 26316576 26428259 26613072 26800488 27313416 27778608 28830828 29236896 29939706 30150549 30303936 30815136 31250934 32527088 33383064 33853248 34667028 35484096 35733984 36417888 36592974 37038144 37108368 37555947 38441104 38462688 39919608 40200732 40970124 41667912 43246242 43855344 44510752 45455904 46222704 48790632 49477824 50074596 50424768 50779872 52633152 52856518 53226144 53600976 54626832 54889461 55557216 57661656 58473792 59879412 60301098 61630272 62501868 64869363 65054176 66766128 69334056 71467968 72835776 73185948 74216736 75111894 76882208 76925376 79284777 79839216 80401464 81940248 83335824 86492484 87710688 89021504 90911808 92445408 97581264 100149192 101559744 105713036 106452288 107201952 109253664 109778922 111114432 112667841 115323312 119758824 120602196 125003736 129738726 130108352 133532256 138668112 146371896 148433472 150223788 153764416 158569554 159678432 160802928 163880496 164668383 166671648 172984968 175421376 184890816 194608089 195162528 200298384 211426072 214403904 218507328 219557844 225335682 230646624 237854331 239517648 241204392 250007472 259477452 267064512 277336224 292743792 300447576 317139108 319356864 321605856 327760992 329336766 333343296 345969936 389216178 390325056 400596768 422852144 439115688 450671364 461293248 475708662 479035296 482408784 500014944 518954904 554672448 585487584 600895152 634278216 643211712 655521984 658673532 691939872 713562993 778432356 801193536 845704288 878231376 901342728 951417324 958070592 964817568 1000029888 1037909808 1170975168 1201790304 1268556432 1317347064 1383879744 1427125986 1556864712 1691408576 1756462752 1802685456 1902834648 1929635136 2075819616 2140688979 2403580608 2537112864 2634694128 2854251972 3113729424 3512925504 3605370912 3805669296 4151639232 4281377958 5074225728 5269388256 5708503944 6227458848 7210741824 7611338592 8562755916 10538776512 11417007888 12454917696 15222677184 17125511832 22834015776 34251023664 45668031552 68502047328 137004094656
• Sum of all divisors σ(n): 513026680320
• Sum of proper divisors (its aliquot sum) s(n): 376022585664
• 137004094656 is an abundant number, because the sum of its proper divisors (376022585664) is greater than itself. Its abundance is 239018491008

Bases of 137004094656

• Binary: 1111111100110000101001001010011000000₂
• Hexadecimal: 0x1FE61494C0
• Base-36: 1QXSP800

Squares and roots of 137004094656

• 137004094656 squared (137004094656²) is 18770121952510207758336
• 137004094656 cubed (137004094656³) is 2571583564686372040529290917052416
• The square root of 137004094656 is 370140.6417241965
• The cube root of 137004094656 is 5155.1880938731

Scales and comparisons

• 137,004,094,656 seconds is equal to 4,356 years, 15 weeks, 6 days, 12 hours, 57 minutes, 36 seconds.
• To count from 1 to 137,004,094,656 would take you about eight thousand, seven hundred twelve 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 137004094656 cubic inches would be around 429.6 feet tall.

Recreational maths with 137004094656

• 137004094656 backwards is 656490400731
• The number of decimal digits it has is: 12
• The sum of 137004094656's digits is 45
• More coming soon!