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4132206022314 = 2310119335330683
BaseRepresentation
bin111100001000011010101…
…011000000111010101010
3112122000221112122111021010
4330020122223000322222
51020200224220203224
612442150443524350
7604353626441316
oct74103253007252
915560845574233
104132206022314
111353505633a37
12568a235296b6
1323c885a2cac6
14103ddd7b2b46
157274c829e29
hex3c21aac0eaa

4132206022314 has 32 divisors (see below), whose sum is σ = 8389482899904. Its totient is φ = 1356698188800.

The previous prime is 4132206022309. The next prime is 4132206022319.

4132206022314 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4132206022309) and next prime (4132206022319).

It is a super-2 number, since 2×41322060223142 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4132206022319) 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, 17548384 + ... + 17782299.

It is an arithmetic number, because the mean of its divisors is an integer number (262171340622).

Almost surely, 24132206022314 is an apocalyptic number.

4132206022314 is an abundant number, since it is smaller than the sum of its proper divisors (4257276877590).

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

4132206022314 is a wasteful number, since it uses less digits than its factorization.

4132206022314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35330982.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 4132206022314 in words is "four trillion, one hundred thirty-two billion, two hundred six million, twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 101 193 202 303 386 579 606 1158 19493 38986 58479 116958 35330683 70661366 105992049 211984098 3568398983 6818821819 7136797966 10705196949 13637643638 20456465457 21410393898 40912930914 688701003719 1377402007438 2066103011157 4132206022314