Search a number
-
+
1349000671149 = 321915035572801
BaseRepresentation
bin10011101000010110101…
…101001010111110101101
311202222000011202110101100
4103220112231022332231
5134100223132434044
62511420010033313
7166314331340055
oct23502655127655
94688004673340
101349000671149
1148012078a72a
12199541718839
139a296b03601
14494132a4565
1525155bbc869
hex13a16b4afad

1349000671149 has 48 divisors (see below), whose sum is σ = 1966878111744. Its totient is φ = 890925504000.

The previous prime is 1349000671127. The next prime is 1349000671211. The reversal of 1349000671149 is 9411760009431.

It is a happy number.

1349000671149 is a `hidden beast` number, since 13 + 490 + 0 + 0 + 6 + 7 + 1 + 149 = 666.

It is not a de Polignac number, because 1349000671149 - 220 = 1348999622573 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349000601149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481612549 + ... + 481615349.

It is an arithmetic number, because the mean of its divisors is an integer number (40976627328).

Almost surely, 21349000671149 is an apocalyptic number.

It is an amenable number.

1349000671149 is a deficient number, since it is larger than the sum of its proper divisors (617877440595).

1349000671149 is a wasteful number, since it uses less digits than its factorization.

1349000671149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1349000671149 in words is "one trillion, three hundred forty-nine billion, six hundred seventy-one thousand, one hundred forty-nine".

Divisors: 1 3 9 191 503 557 573 1509 1671 1719 2801 4527 5013 8403 25209 96073 106387 280171 288219 319161 534991 840513 864657 957483 1408903 1560157 1604973 2521539 4226709 4680471 4814919 12680127 14041413 53512661 160537983 269100473 297989987 481613949 784758971 807301419 893969961 2354276913 2421904257 2681909883 7062830739 149888963461 449666890383 1349000671149