137101353984

Names of 137101353984

• Cardinal: 137101353984 can be written as One hundred thirty-seven billion, one hundred one million, three hundred fifty-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37101353984 × 10¹¹

Factors of 137101353984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 60

Divisors of 137101353984

• Number of divisors d(n): 891
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 38 42 48 49 56 57 58 63 64 72 76 84 87 96 98 112 114 116 126 128 133 144 147 152 168 171 174 192 196 203 224 228 232 252 256 261 266 288 294 304 336 342 348 361 384 392 399 406 441 448 456 464 504 512 522 532 551 576 588 608 609 672 684 696 722 768 784 798 812 841 882 896 912 928 931 1008 1024 1044 1064 1083 1102 1152 1176 1197 1216 1218 1344 1368 1392 1421 1444 1536 1568 1596 1624 1653 1682 1764 1792 1824 1827 1856 1862 2016 2088 2128 2166 2204 2304 2352 2394 2432 2436 2523 2527 2688 2736 2784 2793 2842 2888 3072 3136 3192 3248 3249 3306 3364 3528 3584 3648 3654 3712 3724 3857 4032 4176 4256 4263 4332 4408 4608 4704 4788 4864 4872 4959 5046 5054 5376 5472 5568 5586 5684 5776 5887 6272 6384 6496 6498 6612 6728 7056 7168 7296 7308 7424 7448 7569 7581 7714 8064 8352 8379 8512 8526 8664 8816 9216 9408 9576 9728 9744 9918 10092 10108 10469 10752 10944 11136 11172 11368 11552 11571 11774 12544 12768 12789 12992 12996 13224 13456 14112 14592 14616 14848 14896 15138 15162 15428 15979 16128 16704 16758 17024 17052 17328 17632 17661 17689 18816 19152 19456 19488 19836 20184 20216 20938 21504 21888 22272 22344 22736 22743 23104 23142 23548 25088 25536 25578 25984 25992 26448 26912 26999 28224 29184 29232 29696 29792 30276 30324 30856 31407 31958 32256 33408 33516 34048 34104 34656 34713 35264 35322 35378 37632 38304 38976 39672 40368 40432 41209 41876 43776 44544 44688 45472 45486 46208 46284 47096 47937 50176 51072 51156 51968 51984 52896 52983 53067 53824 53998 56448 58368 58464 59584 60552 60648 61712 62814 63916 64512 66816 67032 68096 68208 69312 69426 70528 70644 70756 73283 75264 76608 77952 79344 80736 80864 80997 82418 83752 87552 89088 89376 90944 90972 92416 92568 94192 94221 95874 102144 102312 103936 103968 105792 105966 106134 107648 107996 111853 112896 116928 119168 121104 121296 123424 123627 125628 127832 133632 134064 136192 136416 138624 138852 141056 141288 141512 143811 146566 150528 153216 155904 158688 159201 161472 161728 161994 164836 167504 175104 178752 181888 181944 184832 185136 188384 188442 191748 204288 204624 207872 207936 211584 211932 212268 215296 215992 219849 223706 225792 233856 238336 242208 242592 242991 246848 247254 251256 255664 267264 268128 272832 277248 277704 282112 282576 283024 287622 293132 303601 306432 311808 317376 318402 322944 323456 323988 329672 335008 335559 357504 363776 363888 369664 370272 370881 376768 376884 383496 408576 409248 415872 423168 423864 424536 430592 431984 439698 447412 451584 467712 476672 484416 485184 485982 493696 494508 502512 511328 512981 536256 545664 554496 555408 564224 565152 566048 575244 586264 607202 612864 623616 634752 636804 645888 646912 647976 659344 659547 670016 671118 715008 727552 727776 740544 741762 753536 753768 766992 782971 818496 831744 846336 847728 849072 861184 863968 879396 894824 910803 935424 953344 968832 970368 971964 987392 989016 1005024 1006677 1022656 1025962 1072512 1091328 1108992 1110816 1130304 1132096 1150488 1172528 1214404 1225728 1269504 1273608 1291776 1293824 1295952 1318688 1319094 1340032 1342236 1430016 1455104 1455552 1481088 1483524 1507072 1507536 1533984 1538943 1565942 1636992 1663488 1692672 1695456 1698144 1727936 1758792 1789648 1821606 1870848 1937664 1940736 1943928 1974784 1978032 2010048 2013354 2045312 2051924 2125207 2145024 2182656 2221632 2260608 2264192 2300976 2345056 2348913 2428808 2539008 2547216 2583552 2587648 2591904 2637376 2638188 2680064 2684472 2732409 2860032 2911104 2962176 2967048 3014144 3015072 3067968 3077886 3131884 3273984 3326976 3390912 3396288 3455872 3517584 3579296 3643212 3875328 3881472 3887856 3949568 3956064 4020096 4026708 4090624 4103848 4250414 4290048 4365312 4443264 4521216 4528384 4601952 4616829 4690112 4697826 4857616 5078016 5094432 5183808 5274752 5276376 5360128 5368944 5464818 5822208 5924352 5934096 6028288 6030144 6135936 6155772 6263768 6375621 6547968 6781824 6792576 6911744 7035168 7046739 7158592 7286424 7750656 7762944 7775712 7912128 8040192 8053416 8181248 8207696 8500828 8580096 8886528 9042432 9056768 9203904 9233658 9380224 9395652 9715232 10188864 10367616 10549504 10552752 10720256 10737888 10929636 11644416 11848704 11868192 12060288 12271872 12311544 12527536 12751242 13095936 13563648 13585152 13823488 14070336 14093478 14317184 14572848 14876449 15551424 15824256 16080384 16106832 16362496 16415392 17001656 17773056 18084864 18113536 18407808 18467316 18760448 18791304 19126863 19430464 20377728 20735232 21099008 21105504 21475776 21859272 23288832 23736384 24120576 24543744 24623088 25055072 25502484 27127296 27170304 27646976 28140672 28186956 28634368 29145696 29752898 31102848 31648512 32160768 32213664 32830784 34003312 35546112 36815616 36934632 37520896 37582608 38253726 38860928 40755456 41470464 42198016 42211008 42951552 43718544 44629347 47472768 48241152 49087488 49246176 50110144 51004968 54254592 54340608 56281344 56373912 57268736 58291392 59505796 62205696 63297024 64427328 65661568 68006624 73631232 73869264 75041792 75165216 76507452 77721856 81510912 82940928 84422016 85903104 87437088 89258694 94945536 96482304 98492352 100220288 102009936 112562688 112747824 114537472 116582784 119011592 124411392 126594048 128854656 131323136 133888041 136013248 147262464 147738528 150330432 153014904 155443712 163021824 168844032 171806208 174874176 178517388 189891072 196984704 200440576 204019872 225125376 225495648 233165568 238023184 248822784 257709312 262646272 267776082 272026496 295477056 300660864 306029808 310887424 337688064 343612416 349748352 357034776 379782144 393969408 400881152 408039744 450991296 466331136 476046368 515418624 525292544 535552164 544052992 590954112 601321728 612059616 675376128 699496704 714069552 787938816 801762304 816079488 901982592 932662272 952092736 1030837248 1071104328 1088105984 1181908224 1202643456 1224119232 1398993408 1428139104 1575877632 1632158976 1803965184 1904185472 2142208656 2176211968 2363816448 2405286912 2448238464 2797986816 2856278208 3264317952 3607930368 3808370944 4284417312 4727632896 4896476928 5712556416 6528635904 7215860736 7616741888 8568834624 9792953856 11425112832 15233483776 17137669248 19585907712 22850225664 34275338496 45700451328 68550676992 137101353984
• Sum of all divisors σ(n): 503360556777
• Sum of proper divisors (its aliquot sum) s(n): 366259202793
• 137101353984 is an abundant number, because the sum of its proper divisors (366259202793) is greater than itself. Its abundance is 229157848809

Bases of 137101353984

• Binary: 1111111101011111000001010010000000000₂
• Hexadecimal: 0x1FEBE0A400
• Base-36: 1QZELTS0

Squares and roots of 137101353984

• 137101353984 squared (137101353984²) is 18796781264246072672256
• 137101353984 cubed (137101353984³) is 2577064161869219852320758671867904
• 137101353984 is a perfect square number. Its square root is 370272
• The cube root of 137101353984 is 5156.4076961825

Scales and comparisons

• 137,101,353,984 seconds is equal to 4,359 years, 20 weeks, 5 days, 5 hours, 26 minutes, 24 seconds.
• To count from 1 to 137,101,353,984 would take you about eight thousand, seven hundred eighteen 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 137101353984 cubic inches would be around 429.7 feet tall.

Recreational maths with 137101353984

• 137101353984 backwards is 489353101731
• The number of decimal digits it has is: 12
• The sum of 137101353984's digits is 45
• More coming soon!