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34127272143 = 3223433380753
BaseRepresentation
bin11111110010001001…
…001101100011001111
310021002101111001101100
4133302021031203033
51024343040202033
623402225514143
72315464012146
oct376211154317
9107071431340
1034127272143
1113522a56748
1267451a2953
1332ab488773
14191a64c75d
15d4b13e513
hex7f224d8cf

34127272143 has 24 divisors (see below), whose sum is σ = 51557137632. Its totient is φ = 21712002048.

The previous prime is 34127272111. The next prime is 34127272163.

34127272143 is a `hidden beast` number, since 3 + 412 + 7 + 27 + 214 + 3 = 666.

34127272143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34127272143 - 25 = 34127272111 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34127272098 and 34127272107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127272163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100746 + ... + 280007.

It is an arithmetic number, because the mean of its divisors is an integer number (2148214068).

Almost surely, 234127272143 is an apocalyptic number.

34127272143 is a deficient number, since it is larger than the sum of its proper divisors (17429865489).

34127272143 is a wasteful number, since it uses less digits than its factorization.

34127272143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381215 (or 381212 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 34127272143 in words is "thirty-four billion, one hundred twenty-seven million, two hundred seventy-two thousand, one hundred forty-three".

Divisors: 1 3 9 23 69 207 433 1299 3897 9959 29877 89631 380753 1142259 3426777 8757319 26271957 78815871 164866049 494598147 1483794441 3791919127 11375757381 34127272143