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4338091123153 is a prime number
BaseRepresentation
bin111111001000001010011…
…000010110000111010001
3120100201101000210021102021
4333020022120112013101
51032033402311420103
613120520324051441
7625262641065604
oct77101230260721
916321330707367
104338091123153
111422857388537
125a0901b33b81
13256107388768
1410dd7131433b
1577c9c78cbbd
hex3f20a6161d1

4338091123153 has 2 divisors, whose sum is σ = 4338091123154. Its totient is φ = 4338091123152.

The previous prime is 4338091123127. The next prime is 4338091123241. The reversal of 4338091123153 is 3513211908334.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4121338491664 + 216752631489 = 2030108^2 + 465567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4338091123153 is a prime.

It is a super-2 number, since 2×43380911231532 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4338091123123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2169045561576 + 2169045561577.

It is an arithmetic number, because the mean of its divisors is an integer number (2169045561577).

Almost surely, 24338091123153 is an apocalyptic number.

It is an amenable number.

4338091123153 is a deficient number, since it is larger than the sum of its proper divisors (1).

4338091123153 is an equidigital number, since it uses as much as digits as its factorization.

4338091123153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 4338091123153 in words is "four trillion, three hundred thirty-eight billion, ninety-one million, one hundred twenty-three thousand, one hundred fifty-three".