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1388009147044 = 2213211324012
BaseRepresentation
bin10100001100101011110…
…010101100101010100100
311220200200202002100111211
4110030223302230222210
5140220120320201134
62541350445041204
7202165106041042
oct24145362545244
94820622070454
101388009147044
11495718a83a63
121a5009556204
13a0b72625900
144b273ccd392
152618a5e9764
hex1432bcacaa4

1388009147044 has 81 divisors (see below), whose sum is σ = 2660352936969. Its totient is φ = 633366988800.

The previous prime is 1388009147023. The next prime is 1388009147059. The reversal of 1388009147044 is 4407419008831.

The square root of 1388009147044 is 1178138.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1148888147044 + 239121000000 = 1071862^2 + 489000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3461369244 + ... + 3461369644.

Almost surely, 21388009147044 is an apocalyptic number.

1388009147044 is the 1178138-th square number.

It is an amenable number.

1388009147044 is a deficient number, since it is larger than the sum of its proper divisors (1272343789925).

1388009147044 is an equidigital number, since it uses as much as digits as its factorization.

1388009147044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 1388009147044 by its sum of digits (49), we get a square (68012448205156 = 82469662).

The spelling of 1388009147044 in words is "one trillion, three hundred eighty-eight billion, nine million, one hundred forty-seven thousand, forty-four".

Divisors: 1 2 4 13 26 52 113 169 226 338 401 452 676 802 1469 1604 2938 5213 5876 10426 12769 19097 20852 25538 38194 45313 51076 67769 76388 90626 135538 160801 165997 181252 271076 321602 331994 589069 643204 663988 1178138 2090413 2157961 2356276 4180826 4315922 5120369 7657897 8361652 8631844 10240738 15315794 18170513 20481476 27175369 30631588 36341026 54350738 66564797 72682052 108701476 133129594 236216669 266259188 472433338 865342361 944866676 1730684722 2053267969 3070816697 3461369444 4106535938 6141633394 8213071876 12283266788 26692483597 53384967194 106769934388 347002286761 694004573522 1388009147044