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344222232222401 = 1365940180020103
BaseRepresentation
bin100111001000100010111101…
…1111000000001101011000001
31200010210022202012200220022122
41032101011323320001223001
5330104214112422104101
63220033302130214025
7132335143543342661
oct11621057370015301
91603708665626278
10344222232222401
119a752913264085
12327346a9124315
1311a0c02ba95b50
146100632c821a1
1529be0246aa51b
hex139117be01ac1

344222232222401 has 8 divisors (see below), whose sum is σ = 371263385760960. Its totient is φ = 317261438725392.

The previous prime is 344222232222383. The next prime is 344222232222409. The reversal of 344222232222401 is 104222232222443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344222232222401 - 226 = 344222165113537 is a prime.

It is a super-3 number, since 3×3442222322224013 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344222232222409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20090001485 + ... + 20090018618.

It is an arithmetic number, because the mean of its divisors is an integer number (46407923220120).

Almost surely, 2344222232222401 is an apocalyptic number.

It is an amenable number.

344222232222401 is a deficient number, since it is larger than the sum of its proper divisors (27041153538559).

344222232222401 is a wasteful number, since it uses less digits than its factorization.

344222232222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40180020775.

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 344222232222401 its reverse (104222232222443), we get a palindrome (448444464444844).

The spelling of 344222232222401 in words is "three hundred forty-four trillion, two hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 13 659 8567 40180020103 522340261339 26478633247877 344222232222401