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14413044145056 = 2535316317378849
BaseRepresentation
bin1101000110111100110001…
…1000000101101110100000
31220000212120211100112211220
43101233030120011232200
53342120403300120211
650353132220335040
73015210445560024
oct321571430055640
956025524315756
1014413044145056
1146575a0744257
1217494173a4480
138071b4b4c3cb
1437b848bac384
1519edb2a68806
hexd1bcc605ba0

14413044145056 has 96 divisors (see below), whose sum is σ = 38784588091200. Its totient is φ = 4684781297664.

The previous prime is 14413044145051. The next prime is 14413044145099. The reversal of 14413044145056 is 65054144031441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×144130441450563 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14413044144999 and 14413044145017.

It is not an unprimeable number, because it can be changed into a prime (14413044145051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7860081 + ... + 9518768.

It is an arithmetic number, because the mean of its divisors is an integer number (404006125950).

Almost surely, 214413044145056 is an apocalyptic number.

14413044145056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14413044145056 is an abundant number, since it is smaller than the sum of its proper divisors (24371543946144).

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

14413044145056 is a wasteful number, since it uses less digits than its factorization.

14413044145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379078 (or 17379070 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 14413044145056 its reverse (65054144031441), we get a palindrome (79467188176497).

The spelling of 14413044145056 in words is "fourteen trillion, four hundred thirteen billion, forty-four million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 163 212 318 326 424 489 636 652 848 978 1272 1304 1696 1956 2544 2608 3912 5088 5216 7824 8639 15648 17278 25917 34556 51834 69112 103668 138224 207336 276448 414672 829344 17378849 34757698 52136547 69515396 104273094 139030792 208546188 278061584 417092376 556123168 834184752 921078997 1668369504 1842157994 2763236991 2832752387 3684315988 5526473982 5665504774 7368631976 8498257161 11052947964 11331009548 14737263952 16996514322 22105895928 22662019096 29474527904 33993028644 44211791856 45324038192 67986057288 88423583712 90648076384 135972114576 150135876511 271944229152 300271753022 450407629533 600543506044 900815259066 1201087012088 1801630518132 2402174024176 3603261036264 4804348048352 7206522072528 14413044145056