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344270374143 = 31713749272989
BaseRepresentation
bin1010000001010000001…
…11010000010011111111
31012220121210110001021220
411000220013100103333
521120031203433033
6422053340524423
733605224616463
oct5005007202377
91186553401256
10344270374143
11123005718673
125687b550713
1326606829a77
141293c9244a3
158e4e026bb3
hex50281d04ff

344270374143 has 16 divisors (see below), whose sum is σ = 489576428640. Its totient is φ = 214436043776.

The previous prime is 344270374117. The next prime is 344270374183. The reversal of 344270374143 is 341473072443.

It is not a de Polignac number, because 344270374143 - 26 = 344270374079 is a prime.

It is a super-3 number, since 3×3442703741433 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 344270374095 and 344270374104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344270374103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24629508 + ... + 24643481.

It is an arithmetic number, because the mean of its divisors is an integer number (30598526790).

Almost surely, 2344270374143 is an apocalyptic number.

344270374143 is a deficient number, since it is larger than the sum of its proper divisors (145306054497).

344270374143 is a wasteful number, since it uses less digits than its factorization.

344270374143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49273146.

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 344270374143 in words is "three hundred forty-four billion, two hundred seventy million, three hundred seventy-four thousand, one hundred forty-three".

Divisors: 1 3 17 51 137 411 2329 6987 49272989 147818967 837640813 2512922439 6750399493 20251198479 114756791381 344270374143