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214094526353 = 1374995216011
BaseRepresentation
bin1100011101100100000…
…1110011011110010001
3202110121121121210211222
43013121001303132101
512001431144320403
6242204220414425
721316314306401
oct3073101633621
9673547553758
10214094526353
1182884862494
12355ab9a7415
131725c3a62b6
14a50dd62801
155880a2a338
hex31d9073791

214094526353 has 16 divisors (see below), whose sum is σ = 216540216000. Its totient is φ = 211663545600.

The previous prime is 214094526287. The next prime is 214094526367. The reversal of 214094526353 is 353625490412.

It is a happy number.

214094526353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214094526353 is a prime.

It is a super-2 number, since 2×2140945263532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214094516353) 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 15 ways as a sum of consecutive naturals, for example, 35614118 + ... + 35620128.

It is an arithmetic number, because the mean of its divisors is an integer number (13533763500).

Almost surely, 2214094526353 is an apocalyptic number.

It is an amenable number.

214094526353 is a deficient number, since it is larger than the sum of its proper divisors (2445689647).

214094526353 is a wasteful number, since it uses less digits than its factorization.

214094526353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 214094526353 in words is "two hundred fourteen billion, ninety-four million, five hundred twenty-six thousand, three hundred fifty-three".

Divisors: 1 137 499 521 6011 68363 71377 259979 823507 2999489 3131731 35617123 410929993 429047147 1562733769 214094526353