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34442120381 is a prime number
BaseRepresentation
bin100000000100111010…
…010000110010111101
310021220022220222222012
4200010322100302331
51031014140323011
623453354101005
72326336123064
oct400472206275
9107808828865
1034442120381
11136747518a9
12681271a765
13332b784ab6
14194a3a91db
15d68ad2a8b
hex804e90cbd

34442120381 has 2 divisors, whose sum is σ = 34442120382. Its totient is φ = 34442120380.

The previous prime is 34442120369. The next prime is 34442120441. The reversal of 34442120381 is 18302124443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28901700025 + 5540420356 = 170005^2 + 74434^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34442120381 is a prime.

It is a super-2 number, since 2×344421203812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34442420381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17221060190 + 17221060191.

It is an arithmetic number, because the mean of its divisors is an integer number (17221060191).

Almost surely, 234442120381 is an apocalyptic number.

It is an amenable number.

34442120381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34442120381 is an equidigital number, since it uses as much as digits as its factorization.

34442120381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 34442120381 in words is "thirty-four billion, four hundred forty-two million, one hundred twenty thousand, three hundred eighty-one".