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214365420981541 = 1729779355796009
BaseRepresentation
bin110000101111011011010110…
…110001010000110100100101
31001010000010121202121020111101
4300233123112301100310211
5211044130340232402131
62035530040452240101
763103250653042324
oct6057332661206445
91033003552536441
10214365420981541
1162337956715a25
1220061555910031
13927c759906b9b
143ad14ada120bb
1519bb20ac60c61
hexc2f6d6c50d25

214365420981541 has 16 divisors (see below), whose sum is σ = 234832015047600. Its totient is φ = 194773597462528.

The previous prime is 214365420981511. The next prime is 214365420981641. The reversal of 214365420981541 is 145189024563412.

214365420981541 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 8 ways, for example, as 35090861452516 + 179274559529025 = 5923754^2 + 13389345^2 .

It is a cyclic number.

It is not a de Polignac number, because 214365420981541 - 221 = 214365418884389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214365420981511) 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, 24056056 + ... + 31739953.

It is an arithmetic number, because the mean of its divisors is an integer number (14677000940475).

Almost surely, 2214365420981541 is an apocalyptic number.

It is an amenable number.

214365420981541 is a deficient number, since it is larger than the sum of its proper divisors (20466594066059).

214365420981541 is a wasteful number, since it uses less digits than its factorization.

214365420981541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55803848.

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 214365420981541 in words is "two hundred fourteen trillion, three hundred sixty-five billion, four hundred twenty million, nine hundred eighty-one thousand, five hundred forty-one".

Divisors: 1 17 29 493 7793 132481 225997 3841949 55796009 948532153 1618084261 27507432437 434818298137 7391911068329 12609730645973 214365420981541