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334214545412433 = 3723194777445527
BaseRepresentation
bin100101111111101110110001…
…1010000100001000101010001
31121211100121011022101020112210
41023333131203100201011101
5322301232342111144213
63142452013110142333
7130253126666121600
oct11377354320410521
91554317138336483
10334214545412433
1197544657a25a54
12315990270519a9
13114643b1262b7a
145c760dacd3a37
152898a499d40c3
hex12ff763421151

334214545412433 has 48 divisors (see below), whose sum is σ = 535660358529024. Its totient is φ = 184623938341920.

The previous prime is 334214545412393. The next prime is 334214545412443.

It is a happy number.

334214545412433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334214545412433 - 28 = 334214545412177 is a prime.

It is a super-2 number, since 2×3342145454124332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334214545412443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34407285 + ... + 43038242.

It is an arithmetic number, because the mean of its divisors is an integer number (11159590802688).

Almost surely, 2334214545412433 is an apocalyptic number.

It is an amenable number.

334214545412433 is a deficient number, since it is larger than the sum of its proper divisors (201445813116591).

334214545412433 is a wasteful number, since it uses less digits than its factorization.

334214545412433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77446522 (or 77446515 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 334214545412433 in words is "three hundred thirty-four trillion, two hundred fourteen billion, five hundred forty-five million, four hundred twelve thousand, four hundred thirty-three".

Divisors: 1 3 7 21 31 49 93 147 217 651 947 1519 2841 4557 6629 19887 29357 46403 88071 139209 205499 616497 1438493 4315479 77445527 232336581 542118689 1626356067 2400811337 3794830823 7202434011 11384492469 16805679359 50417038077 73340914069 117639755513 220022742207 352919266539 513386398483 1540159195449 2273568336139 3593704789381 6820705008417 10781114368143 15914978352973 47744935058919 111404848470811 334214545412433