34994312978976

Names of 34994312978976

• Cardinal: 34994312978976 can be written as Thirty-four trillion, nine hundred ninety-four billion, three hundred twelve million, nine hundred seventy-eight thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 3.4994312978976 × 10¹³

Factors of 34994312978976

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 145

Divisors of 34994312978976

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 127 144 156 162 169 208 216 234 243 254 288 312 324 338 351 381 416 432 468 486 507 508 624 648 676 702 762 864 936 972 1014 1016 1053 1143 1248 1296 1352 1404 1521 1524 1651 1872 1944 2028 2032 2106 2197 2286 2592 2704 2808 3042 3048 3159 3302 3429 3744 3888 4056 4064 4212 4394 4563 4572 4953 5408 5616 6084 6096 6318 6591 6604 6858 7776 8112 8424 8788 9126 9144 9906 10287 11232 12168 12192 12636 13182 13208 13689 13716 14859 16129 16224 16848 17576 18252 18288 19773 19812 20574 21463 24336 25272 26364 26416 27378 27432 29718 30861 32258 33696 35152 36504 36576 39546 39624 41067 41148 42926 44577 48387 48672 50544 52728 52832 54756 54864 59319 59436 61722 64389 64516 70304 73008 79092 79248 82134 82296 85852 89154 96774 101088 105456 109512 109728 118638 118872 123444 128778 129032 133731 145161 146016 158184 158496 164268 164592 171704 177957 178308 193167 193548 209677 210912 219024 237276 237744 246888 257556 258064 267462 279019 290322 316368 328536 329184 343408 355914 356616 386334 387096 401193 419354 435483 438048 474552 475488 493776 515112 516128 533871 534924 558038 579501 580644 629031 632736 657072 686816 711828 713232 772668 774192 802386 837057 838708 870966 949104 987552 1030224 1067742 1069848 1116076 1159002 1161288 1258062 1306449 1314144 1423656 1426464 1545336 1548384 1604772 1674114 1677416 1738503 1741932 1887093 1898208 2048383 2060448 2135484 2139696 2232152 2318004 2322576 2511171 2516124 2612898 2725801 2847312 3090672 3209544 3348228 3354832 3477006 3483864 3774186 3919347 4096766 4270968 4279392 4464304 4636008 4645152 5022342 5032248 5215509 5225796 5451602 5661279 5694624 6145149 6181344 6419088 6696456 6709664 6954012 6967728 7533513 7548372 7838694 8177403 8193532 8541936 8928608 9272016 10044684 10064496 10431018 10451592 10903204 11322558 12290298 12838176 13392912 13908024 13935456 15067026 15096744 15677388 16354806 16387064 16983837 17083872 18435447 18544032 20089368 20128992 20862036 20903184 21806408 22600539 22645116 24532209 24580596 26628979 26785824 27816048 30134052 30193488 31354776 32709612 32774128 33967674 35435413 36870894 40178736 41724072 41806368 43612816 45201078 45290232 49064418 49161192 50951511 53257958 55306341 55632096 60268104 60386976 62709552 65419224 65548256 67801617 67935348 70870826 73596627 73741788 79886937 80357472 83448144 87225632 90402156 90580464 98128836 98322384 101903022 106306239 106515916 110612682 120536208 125419104 130838448 135603234 135870696 141741652 147193254 147483576 159773874 165919023 166896288 180804312 181160928 196257672 196644768 203806044 212612478 213031832 220789881 221225364 239660811 241072416 261676896 271206468 271741392 283483304 294386508 294967152 318918717 319547748 331838046 346176727 361608624 392515344 407612088 425224956 426063664 441579762 442450728 479321622 497757069 542412936 543482784 566966608 588773016 589934304 637837434 639095496 662369643 663676092 692353454 718982433 723217248 785030688 815224176 850449912 852127328 883159524 884901456 956756151 958643244 995514138 1038530181 1084825872 1133933216 1177546032 1275674868 1278190992 1324739286 1327352184 1384706908 1437964866 1630448352 1700899824 1766319048 1769802912 1913512302 1917286488 1991028276 2077060362 2156947299 2169651744 2355092064 2551349736 2556381984 2649478572 2654704368 2769413816 2870268453 2875929732 3115590543 3401799648 3532638096 3827024604 3834572976 3982056552 4154120724 4313894598 4500297451 5102699472 5298957144 5309408736 5538827632 5740536906 5751859464 6231181086 6470841897 7065276192 7654049208 7669145952 7964113104 8308241448 8610805359 8627789196 9000594902 9346771629 10205398944 10597914288 11077655264 11481073812 11503718928 12462362172 12941683794 13500892353 15308098416 15928226208 16616482896 17221610718 17255578392 18001189804 18693543258 21195828576 22962147624 23007437856 24924724344 25883367588 27001784706 28040314887 30616196832 33232965792 34443221436 34511156784 36002379608 37387086516 40502677059 45924295248 49849448688 51766735176 54003569412 56080629774 68886442872 69022313568 72004759216 74774173032 81005354118 84120944661 91848590496 99698897376 103533470352 108007138824 112161259548 121508031177 137772885744 144009518432 149548346064 162010708236 168241889322 207066940704 216014277648 224322519096 243016062354 275545771488 299096692128 324021416472 336483778644 364524093531 432028555296 448645038192 486032124708 648042832944 672967557288 729048187062 897290076384 972064249416 1093572280593 1296085665888 1345935114576 1458096374124 1944128498832 2187144561186 2691870229152 2916192748248 3888256997664 4374289122372 5832385496496 8748578244744 11664770992992 17497156489488 34994312978976
• Sum of all divisors σ(n): 112684252262400
• Sum of proper divisors (its aliquot sum) s(n): 77689939283424
• 34994312978976 is an abundant number, because the sum of its proper divisors (77689939283424) is greater than itself. Its abundance is 42695626304448

Bases of 34994312978976

• Binary: 111111101001110111111100110000010001000100000₂
• Hexadecimal: 0x1FD3BF982220
• Base-36: CEK5YF600

Squares and roots of 34994312978976

• 34994312978976 squared (34994312978976²) is 1224601940870528127418008576
• 34994312978976 cubed (34994312978976³) is 42854103593484722561307690594392075698176
• The square root of 34994312978976 is 5915599.1225721169
• The cube root of 34994312978976 is 32708.8913275501

Scales and comparisons

• 34,994,312,978,976 seconds is equal to 1,112,710 years, 47 weeks, 1 day, 14 hours, 9 minutes, 36 seconds.
• To count from 1 to 34,994,312,978,976 would take you about two million, seven hundred eighty-one thousand, seven hundred seventy-seven 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 34994312978976 cubic inches would be around 2725.7 feet tall.

Recreational maths with 34994312978976

• 34994312978976 backwards is 67987921349943
• 34994312978976 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34994312978976's digits is 81
• More coming soon!