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10414531363353 = 3132109871869617
BaseRepresentation
bin1001011110001101001001…
…1100010100001000011001
31100212121201121010100212220
42113203102130110020121
52331112430012111403
634052211502454253
72123265536655165
oct227432234241031
940777647110786
1010414531363353
1133558614a2817
1212024a5594389
135a71171bc200
142800cd1a5ca5
15130d8c430953
hex978d2714219

10414531363353 has 24 divisors (see below), whose sum is σ = 15037741411488. Its totient is φ = 6408355629312.

The previous prime is 10414531363319. The next prime is 10414531363361. The reversal of 10414531363353 is 35336313541401.

It is not a de Polignac number, because 10414531363353 - 214 = 10414531346969 is a prime.

It is a super-2 number, since 2×104145313633532 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10414531362353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4635601 + ... + 6505217.

It is an arithmetic number, because the mean of its divisors is an integer number (626572558812).

Almost surely, 210414531363353 is an apocalyptic number.

10414531363353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10414531363353 is a deficient number, since it is larger than the sum of its proper divisors (4623210048135).

10414531363353 is a wasteful number, since it uses less digits than its factorization.

10414531363353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880633 (or 1880620 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 10414531363353 in words is "ten trillion, four hundred fourteen billion, five hundred thirty-one million, three hundred sixty-three thousand, three hundred fifty-three".

Divisors: 1 3 13 39 169 507 10987 32961 142831 428493 1856803 1869617 5570409 5608851 24305021 72915063 315965273 947895819 20541481979 61624445937 267039265727 801117797181 3471510454451 10414531363353