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344147801445 = 32571139668431
BaseRepresentation
bin1010000001000001100…
…11101011010101100101
31012220022020210201011100
411000200303223111211
521114303314121240
6422033241430313
733602206021620
oct5004063532545
91186266721140
10344147801445
11122a52509a18
125684649b399
13265b7311b46
141292a538db7
158e433b3e30
hex5020ceb565

344147801445 has 48 divisors (see below), whose sum is σ = 687773578752. Its totient is φ = 155932439040.

The previous prime is 344147801407. The next prime is 344147801461. The reversal of 344147801445 is 544108741443.

344147801445 is a `hidden beast` number, since 34 + 4 + 1 + 478 + 0 + 144 + 5 = 666.

It is not a de Polignac number, because 344147801445 - 211 = 344147799397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 344147801445.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4798621 + ... + 4869810.

It is an arithmetic number, because the mean of its divisors is an integer number (14328616224).

Almost surely, 2344147801445 is an apocalyptic number.

344147801445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344147801445 is a deficient number, since it is larger than the sum of its proper divisors (343625777307).

344147801445 is a wasteful number, since it uses less digits than its factorization.

344147801445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668562 (or 9668559 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 344147801445 in words is "three hundred forty-four billion, one hundred forty-seven million, eight hundred one thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 791 1017 1695 2373 3955 5085 7119 11865 35595 9668431 29005293 48342155 67679017 87015879 145026465 203037051 338395085 435079395 609111153 1015185255 1092532703 3045555765 3277598109 5462663515 7647728921 9832794327 16387990545 22943186763 38238644605 49163971635 68829560289 114715933815 344147801445