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4348357444357 = 1789252161981
BaseRepresentation
bin111111010001101110010…
…011010000001100000101
3120101200212111200102112221
4333101232103100030011
51032220414001204412
613125335143012341
7626105231300323
oct77215623201405
916350774612487
104348357444357
111427145463613
125a28a813a0b1
132570822b1434
141106669a0d13
157819dc05b07
hex3f46e4d0305

4348357444357 has 24 divisors (see below), whose sum is σ = 4665469187592. Its totient is φ = 4038755635200.

The previous prime is 4348357444297. The next prime is 4348357444381. The reversal of 4348357444357 is 7534447538434.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1561865064516 + 2786492379841 = 1249746^2 + 1669279^2 .

It is a de Polignac number, because none of the positive numbers 2k-4348357444357 is a prime.

It is a super-2 number, since 2×43483574443572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4348357444295 and 4348357444304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348357444657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70125307 + ... + 70187287.

It is an arithmetic number, because the mean of its divisors is an integer number (194394549483).

Almost surely, 24348357444357 is an apocalyptic number.

It is an amenable number.

4348357444357 is a deficient number, since it is larger than the sum of its proper divisors (317111743235).

4348357444357 is an equidigital number, since it uses as much as digits as its factorization.

4348357444357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62697 (or 62608 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 61.

The spelling of 4348357444357 in words is "four trillion, three hundred forty-eight billion, three hundred fifty-seven million, four hundred forty-four thousand, three hundred fifty-seven".

Divisors: 1 17 89 521 1513 7921 8857 46369 61981 134657 788273 1053677 4126841 5516309 32292101 70156297 93777253 490951501 548965717 2873996989 8346175517 48857948813 255785732021 4348357444357