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4284453137031 = 3211329571424699
BaseRepresentation
bin111110010110001101010…
…011101010101010000111
3120011120220220110021000200
4332112031103222222013
51030144030000341111
613040130043541543
7621353512531404
oct76261523525207
916146826407020
104284453137031
111402032111691
1259243282a8b3
132510399c8932
1410b5237872ab
15766ad831256
hex3e58d4eaa87

4284453137031 has 24 divisors (see below), whose sum is σ = 6245537173200. Its totient is φ = 2830065697536.

The previous prime is 4284453136991. The next prime is 4284453137059. The reversal of 4284453137031 is 1307313544824.

It is a happy number.

4284453137031 is a `hidden beast` number, since 4 + 2 + 8 + 44 + 531 + 3 + 70 + 3 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-4284453137031 is a prime.

It is a super-2 number, since 2×42844531370312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284453137231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294920 + ... + 3719618.

It is an arithmetic number, because the mean of its divisors is an integer number (260230715550).

Almost surely, 24284453137031 is an apocalyptic number.

4284453137031 is a deficient number, since it is larger than the sum of its proper divisors (1961084036169).

4284453137031 is a wasteful number, since it uses less digits than its factorization.

4284453137031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427775 (or 1427772 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4284453137031 in words is "four trillion, two hundred eighty-four billion, four hundred fifty-three million, one hundred thirty-seven thousand, thirty-one".

Divisors: 1 3 9 113 339 1017 2957 8871 26613 334141 1002423 1424699 3007269 4274097 12822291 160990987 482972961 1448918883 4212834943 12638504829 37915514487 476050348559 1428151045677 4284453137031