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4301346634137 = 3271014871388077
BaseRepresentation
bin111110100101111100001…
…111001111100110011001
3120020012112020112211102200
4332211330033033212121
51030433124214243022
613052002242120413
7622522244064510
oct76457417174631
916205466484380
104301346634137
111409211048043
12595768350109
132527cc90c677
1410c287261677
1576d4b9bbbac
hex3e97c3cf999

4301346634137 has 48 divisors (see below), whose sum is σ = 7185668934912. Its totient is φ = 2428577769600.

The previous prime is 4301346634133. The next prime is 4301346634153. The reversal of 4301346634137 is 7314366431034.

4301346634137 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 3 + 4 + 6 + 634 + 1 + 3 + 7 = 666.

4301346634137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4301346634137 - 22 = 4301346634133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4301346634092 and 4301346634101.

It is not an unprimeable number, because it can be changed into a prime (4301346634133) 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, 2404743 + ... + 3792819.

It is an arithmetic number, because the mean of its divisors is an integer number (149701436144).

Almost surely, 24301346634137 is an apocalyptic number.

It is an amenable number.

4301346634137 is a deficient number, since it is larger than the sum of its proper divisors (2884322300775).

4301346634137 is a wasteful number, since it uses less digits than its factorization.

4301346634137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388678 (or 1388675 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 4301346634137 in words is "four trillion, three hundred one billion, three hundred forty-six million, six hundred thirty-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 63 101 303 487 707 909 1461 2121 3409 4383 6363 10227 30681 49187 147561 344309 442683 1032927 1388077 3098781 4164231 9716539 12492693 29149617 87448851 140195777 420587331 675993499 981370439 1261761993 2027980497 2944111317 4731954493 6083941491 8832333951 14195863479 42587590437 68275343399 204826030197 477927403793 614478090591 1433782211379 4301346634137