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14780303274256 = 2413217243492
BaseRepresentation
bin1101011100010100111010…
…1110011111000100010000
31221022222112202012100120021
43113011032232133010100
53414130030114234011
651233551054153224
73053561456633152
oct327051656370420
957288482170507
1014780303274256
114789322970843
1217a86317b2814
13832a132cbc00
143915288d4ad2
151a9709dcd471
hexd714eb9f110

14780303274256 has 135 divisors (see below), whose sum is σ = 32948059881261. Its totient is φ = 6418926938112.

The previous prime is 14780303274221. The next prime is 14780303274277. The reversal of 14780303274256 is 65247230308741.

The square root of 14780303274256 is 3844516.

It is a perfect power (a square), and thus also a powerful number.

14780303274256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 14735494851856 + 44808422400 = 3838684^2 + 211680^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3398549970 + ... + 3398554318.

Almost surely, 214780303274256 is an apocalyptic number.

14780303274256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14780303274256 is the 3844516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14780303274256

14780303274256 is an abundant number, since it is smaller than the sum of its proper divisors (18167756607005).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14780303274256 is an frugal number, since it uses more digits than its factorization.

14780303274256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 14780303274256 in words is "fourteen trillion, seven hundred eighty billion, three hundred three million, two hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 289 338 442 578 676 884 1156 1352 1768 2312 2704 2873 3536 3757 4349 4624 5746 7514 8698 11492 15028 17396 22984 30056 34792 45968 48841 56537 60112 69584 73933 97682 113074 147866 195364 226148 295732 390728 452296 591464 734981 781456 904592 961129 1182928 1256861 1469962 1922258 2513722 2939924 3844516 5027444 5879848 7689032 10054888 11759696 12494677 15378064 16339193 18913801 20109776 24989354 32678386 37827602 49978708 65356772 75655204 99957416 130713544 151310408 199914832 212409509 245879413 261427088 302620816 321534617 424819018 491758826 643069234 849638036 983517652 1286138468 1699276072 1967035304 2572276936 3196432369 3398552144 3934070608 4179950021 5144553872 5466088489 6392864738 8359900042 10932176978 12785729476 16719800084 21864353956 25571458952 33439600168 43728707912 51142917904 54339350273 66879200336 71059150357 87457415824 108678700546 142118300714 217357401092 284236601428 434714802184 568473202856 869429604368 923768954641 1136946405712 1847537909282 3695075818564 7390151637128 14780303274256