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3135666444 = 2231918175983
BaseRepresentation
bin1011101011100110…
…0111100100001100
322002112022100201020
42322321213210030
522410212311234
61235052114140
7140463503451
oct27271474414
98075270636
103135666444
11136a002679
12736165950
133ac835241
1421a63d828
15135441549
hexbae6790c

3135666444 has 48 divisors (see below), whose sum is σ = 7744289280. Its totient is φ = 984726720.

The previous prime is 3135666433. The next prime is 3135666467. The reversal of 3135666444 is 4446665313.

It is a junction number, because it is equal to n+sod(n) for n = 3135666396 and 3135666405.

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 15 ways as a sum of consecutive naturals, for example, 3277 + ... + 79259.

It is an arithmetic number, because the mean of its divisors is an integer number (161339360).

Almost surely, 23135666444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135666444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872144640).

3135666444 is an abundant number, since it is smaller than the sum of its proper divisors (4608622836).

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

3135666444 is a wasteful number, since it uses less digits than its factorization.

3135666444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76190 (or 76188 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 3135666444 is about 55997.0217422320. The cubic root of 3135666444 is about 1463.6703866175.

The spelling of 3135666444 in words is "three billion, one hundred thirty-five million, six hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 543 724 1086 2172 3439 6878 10317 13756 20634 41268 75983 151966 227949 303932 455898 911796 1443677 2887354 4331031 5774708 8662062 13752923 17324124 27505846 41258769 55011692 82517538 165035076 261305537 522611074 783916611 1045222148 1567833222 3135666444