Search a number
-
+
334144555240 = 2358353613881
BaseRepresentation
bin1001101110011001001…
…00010100100011101000
31011221111002221011002011
410313030210110203220
520433312001231430
6413300501245304
733066261566536
oct4671444244350
91157432834064
10334144555240
11119789987aa1
1254914403834
1325681a58c52
141225bbad156
158a5a0b422a
hex4dcc9148e8

334144555240 has 16 divisors (see below), whose sum is σ = 751825249380. Its totient is φ = 133657822080.

The previous prime is 334144555231. The next prime is 334144555267. The reversal of 334144555240 is 42555441433.

It can be written as a sum of positive squares in 2 ways, for example, as 317944865956 + 16199689284 = 563866^2 + 127278^2 .

It is a super-2 number, since 2×3341445552402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 8353613881 = 334144555240 / (3 + 3 + 4 + 1 + 4 + 4 + 5 + 5 + 5 + 2 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 334144555193 and 334144555202.

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 3 ways as a sum of consecutive naturals, for example, 4176806901 + ... + 4176806980.

Almost surely, 2334144555240 is an apocalyptic number.

It is an amenable number.

334144555240 is an abundant number, since it is smaller than the sum of its proper divisors (417680694140).

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

334144555240 is a wasteful number, since it uses less digits than its factorization.

334144555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353613892 (or 8353613888 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 334144555240 its reverse (42555441433), we get a palindrome (376699996673).

The spelling of 334144555240 in words is "three hundred thirty-four billion, one hundred forty-four million, five hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8353613881 16707227762 33414455524 41768069405 66828911048 83536138810 167072277620 334144555240