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9240094351341 = 327323971638231
BaseRepresentation
bin1000011001110110000010…
…0010101001111111101101
31012201100022001200121001100
42012131200202221333231
52202342203123220331
631352501333433313
71642401103041000
oct206354042517755
935640261617040
109240094351341
112a4277a410987
121052960a9b839
1352044c977ac9
1423d319ad5537
15110551a73ae6
hex867608a9fed

9240094351341 has 192 divisors, whose sum is σ = 16511627059200. Its totient is φ = 4967150791680.

The previous prime is 9240094351333. The next prime is 9240094351349. The reversal of 9240094351341 is 1431534900429.

9240094351341 is a `hidden beast` number, since 9 + 2 + 4 + 0 + 0 + 94 + 3 + 513 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (9240094351333) and next prime (9240094351349).

It is not a de Polignac number, because 9240094351341 - 23 = 9240094351333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9240094351349) 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 191 ways as a sum of consecutive naturals, for example, 1122592696 + ... + 1122600926.

It is an arithmetic number, because the mean of its divisors is an integer number (85998057600).

Almost surely, 29240094351341 is an apocalyptic number.

It is an amenable number.

9240094351341 is a deficient number, since it is larger than the sum of its proper divisors (7271532707859).

9240094351341 is a wasteful number, since it uses less digits than its factorization.

9240094351341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 9240094351341 in words is "nine trillion, two hundred forty billion, ninety-four million, three hundred fifty-one thousand, three hundred forty-one".