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344311056054 = 232723471125001
BaseRepresentation
bin1010000001010101000…
…10011100011010110110
31012220201121222220101100
411000222202130122312
521120122112243204
6422101352510530
733606230454600
oct5005242343266
91186647886340
10344311056054
11123026684589
12568910ab446
13266120a1ac4
14129440b4170
158e528b0a39
hex502a89c6b6

344311056054 has 72 divisors (see below), whose sum is σ = 870306047208. Its totient is φ = 98091000000.

The previous prime is 344311056053. The next prime is 344311056077. The reversal of 344311056054 is 450650113443.

344311056054 is a `hidden beast` number, since 3 + 4 + 4 + 31 + 10 + 5 + 605 + 4 = 666.

It is a super-3 number, since 3×3443110560543 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344311056053) 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 35 ways as a sum of consecutive naturals, for example, 256447 + ... + 868554.

It is an arithmetic number, because the mean of its divisors is an integer number (12087583989).

Almost surely, 2344311056054 is an apocalyptic number.

344311056054 is an abundant number, since it is smaller than the sum of its proper divisors (525994991154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344311056054 is a wasteful number, since it uses less digits than its factorization.

344311056054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125370 (or 1125360 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 344311056054 its reverse (450650113443), we get a palindrome (794961169497).

The spelling of 344311056054 in words is "three hundred forty-four billion, three hundred eleven million, fifty-six thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 347 441 694 882 1041 2082 2429 3123 4858 6246 7287 14574 17003 21861 34006 43722 51009 102018 153027 306054 1125001 2250002 3375003 6750006 7875007 10125009 15750014 20250018 23625021 47250042 55125049 70875063 110250098 141750126 165375147 330750294 390375347 496125441 780750694 992250882 1171126041 2342252082 2732627429 3513378123 5465254858 7026756246 8197882287 16395764574 19128392003 24593646861 38256784006 49187293722 57385176009 114770352018 172155528027 344311056054