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334113141401 = 131931290315031
BaseRepresentation
bin1001101110010101011…
…00011111001010011001
31011221101220211011101122
410313022230133022121
520433230431011101
6413253420055025
733065430562154
oct4671254371231
91157356734348
10334113141401
11119773181346
1254905994475
13256783aa590
1412257952c9b
158a5745b51b
hex4dcab1f299

334113141401 has 32 divisors (see below), whose sum is σ = 391130234880. Its totient is φ = 282638548800.

The previous prime is 334113141359. The next prime is 334113141487. The reversal of 334113141401 is 104141311433.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334113141401 is a prime.

It is a super-2 number, since 2×3341131414012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334113141101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22220756 + ... + 22235786.

It is an arithmetic number, because the mean of its divisors is an integer number (12222819840).

Almost surely, 2334113141401 is an apocalyptic number.

334113141401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334113141401 is a deficient number, since it is larger than the sum of its proper divisors (57017093479).

334113141401 is a wasteful number, since it uses less digits than its factorization.

334113141401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17997.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 334113141401 its reverse (104141311433), we get a palindrome (438254452834).

The spelling of 334113141401 in words is "three hundred thirty-four billion, one hundred thirteen million, one hundred forty-one thousand, four hundred one".

Divisors: 1 13 19 31 247 403 589 2903 7657 15031 37739 55157 89993 195403 285589 465961 717041 1169909 1709867 3712657 6057493 8853259 22228271 43634993 115092367 567254909 829064867 1352684783 10777843271 17584902179 25701010877 334113141401