Search a number
-
+
1556441145 = 325721997383
BaseRepresentation
bin101110011000101…
…0110100000111001
311000110201101212100
41130301112200321
511141422104040
6414235534013
753366350200
oct13461264071
94013641770
101556441145
117296302a6
123752ba309
131ba5c43bc
1410a9d6237
1591997b30
hex5cc56839

1556441145 has 144 divisors (see below), whose sum is σ = 3346237440. Its totient is φ = 665376768.

The previous prime is 1556441141. The next prime is 1556441147. The reversal of 1556441145 is 5411446551.

1556441145 is a `hidden beast` number, since 1 + 5 + 5 + 644 + 1 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 1556441145 - 22 = 1556441141 is a prime.

It is a super-2 number, since 2×15564411452 = 4845018075697822050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1556441141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4063624 + ... + 4064006.

It is an arithmetic number, because the mean of its divisors is an integer number (23237760).

Almost surely, 21556441145 is an apocalyptic number.

1556441145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1556441145 is an abundant number, since it is smaller than the sum of its proper divisors (1789796295).

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

1556441145 is a wasteful number, since it uses less digits than its factorization.

1556441145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1556441145 is about 39451.7571852003. The cubic root of 1556441145 is about 1158.8953874753.

Adding to 1556441145 its reverse (5411446551), we get a palindrome (6967887696).

The spelling of 1556441145 in words is "one billion, five hundred fifty-six million, four hundred forty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 97 105 133 147 171 245 285 291 315 383 399 441 485 665 679 735 855 873 931 1149 1197 1455 1843 1915 1995 2037 2205 2681 2793 3395 3447 4365 4655 4753 5529 5745 5985 6111 7277 8043 8379 9215 10185 12901 13405 13965 14259 16587 17235 18767 21831 23765 24129 27645 30555 36385 37151 38703 40215 41895 42777 50939 56301 64505 65493 71295 82935 90307 93835 109155 111453 116109 120645 152817 168903 185755 193515 213885 254695 260057 270921 281505 327465 334359 356573 451535 458451 557265 580545 705869 764085 780171 812763 844515 1069719 1300285 1354605 1671795 1782865 1820399 2117607 2292255 2340513 3209157 3529345 3900855 4063815 4941083 5348595 5461197 6352821 9101995 10588035 11702565 14823249 16045785 16383591 24705415 27305985 31764105 34587581 44469747 74116245 81917955 103762743 172937905 222348735 311288229 518813715 1556441145