137976348672

Names of 137976348672

• Cardinal: 137976348672 can be written as One hundred thirty-seven billion, nine hundred seventy-six million, three hundred forty-eight thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.37976348672 × 10¹¹

Factors of 137976348672

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 24

Divisors of 137976348672

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 256 288 304 324 342 361 384 432 456 486 512 513 576 608 648 684 722 729 768 864 912 972 1024 1026 1083 1152 1216 1296 1368 1444 1458 1536 1539 1728 1824 1944 2048 2052 2166 2304 2432 2592 2736 2888 2916 3072 3078 3249 3456 3648 3888 4096 4104 4332 4608 4617 4864 5184 5472 5776 5832 6144 6156 6498 6912 7296 7776 8192 8208 8664 9216 9234 9728 9747 10368 10944 11552 11664 12288 12312 12996 13824 13851 14592 15552 16384 16416 17328 18432 18468 19456 19494 20736 21888 23104 23328 24576 24624 25992 27648 27702 29184 29241 31104 32768 32832 34656 36864 36936 38912 38988 41472 43776 46208 46656 49152 49248 51984 55296 55404 58368 58482 62208 65536 65664 69312 73728 73872 77824 77976 82944 87552 87723 92416 93312 98304 98496 103968 110592 110808 116736 116964 124416 131072 131328 138624 147456 147744 155648 155952 165888 175104 175446 184832 186624 196608 196992 207936 221184 221616 233472 233928 248832 262144 262656 263169 277248 294912 295488 311296 311904 331776 350208 350892 369664 373248 393216 393984 415872 442368 443232 466944 467856 497664 524288 525312 526338 554496 589824 590976 622592 623808 663552 700416 701784 739328 746496 786432 787968 831744 884736 886464 933888 935712 995328 1050624 1052676 1108992 1179648 1181952 1245184 1247616 1327104 1400832 1403568 1478656 1492992 1572864 1575936 1663488 1769472 1772928 1867776 1871424 1990656 2101248 2105352 2217984 2359296 2363904 2490368 2495232 2654208 2801664 2807136 2957312 2985984 3151872 3326976 3538944 3545856 3735552 3742848 3981312 4202496 4210704 4435968 4718592 4727808 4980736 4990464 5308416 5603328 5614272 5914624 5971968 6303744 6653952 7077888 7091712 7471104 7485696 7962624 8404992 8421408 8871936 9455616 9961472 9980928 10616832 11206656 11228544 11829248 11943936 12607488 13307904 14155776 14183424 14942208 14971392 15925248 16809984 16842816 17743872 18911232 19961856 21233664 22413312 22457088 23658496 23887872 25214976 26615808 28366848 29884416 29942784 31850496 33619968 33685632 35487744 37822464 39923712 42467328 44826624 44914176 47316992 47775744 50429952 53231616 56733696 59885568 63700992 67239936 67371264 70975488 75644928 79847424 89653248 89828352 94633984 95551488 100859904 106463232 113467392 119771136 127401984 134479872 134742528 141950976 151289856 159694848 179656704 189267968 191102976 201719808 212926464 226934784 239542272 268959744 269485056 283901952 302579712 319389696 359313408 382205952 403439616 425852928 453869568 479084544 538970112 567803904 605159424 638779392 718626816 806879232 851705856 907739136 958169088 1077940224 1210318848 1277558784 1437253632 1703411712 1815478272 1916338176 2155880448 2420637696 2555117568 2874507264 3630956544 3832676352 4311760896 5110235136 5749014528 7261913088 7665352704 8623521792 11498029056 15330705408 17247043584 22996058112 34494087168 45992116224 68988174336 137976348672
• Sum of all divisors σ(n): 436661232975
• Sum of proper divisors (its aliquot sum) s(n): 298684884303
• 137976348672 is an abundant number, because the sum of its proper divisors (298684884303) is greater than itself. Its abundance is 160708535631

Bases of 137976348672

• Binary: 10000000100000000010000000000000000000₂
• Hexadecimal: 0x2020080000
• Base-36: 1RDVK000

Squares and roots of 137976348672

• 137976348672 squared (137976348672²) is 19037472792857316163584
• 137976348672 cubed (137976348672³) is 2626720983900994686132807373160448
• The square root of 137976348672 is 371451.6774386677
• The cube root of 137976348672 is 5167.3540138359

Scales and comparisons

• 137,976,348,672 seconds is equal to 4,387 years, 11 weeks, 3 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,976,348,672 would take you about eight thousand, seven hundred seventy-four 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 137976348672 cubic inches would be around 430.6 feet tall.

Recreational maths with 137976348672

• 137976348672 backwards is 276843679731
• The number of decimal digits it has is: 12
• The sum of 137976348672's digits is 63
• More coming soon!