Search a number
-
+
149284095129 = 3213299072
BaseRepresentation
bin1000101100001000000…
…1101000010010011001
3112021022212100210000100
42023002001220102121
54421213212021004
6152325152130013
713533253605021
oct2130201502231
9467285323010
10149284095129
1158346a86234
1224b22b36909
1311101161900
147322676a81
153d3ad19739
hex22c2068499

149284095129 has 27 divisors (see below), whose sum is σ = 233519207103. Its totient is φ = 91857862512.

The previous prime is 149284095097. The next prime is 149284095133. The reversal of 149284095129 is 921590482941.

The square root of 149284095129 is 386373.

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

149284095129 is a `hidden beast` number, since 1 + 49 + 2 + 84 + 0 + 9 + 512 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22083446025 + 127200649104 = 148605^2 + 356652^2 .

It is not a de Polignac number, because 149284095129 - 25 = 149284095097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149284095229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15063594 + ... + 15073500.

Almost surely, 2149284095129 is an apocalyptic number.

149284095129 is the 386373-rd square number.

149284095129 is the 193187-th centered octagonal number.

It is an amenable number.

149284095129 is a deficient number, since it is larger than the sum of its proper divisors (84235111974).

149284095129 is an frugal number, since it uses more digits than its factorization.

149284095129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19846 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 149284095129 in words is "one hundred forty-nine billion, two hundred eighty-four million, ninety-five thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 9907 29721 89163 128791 386373 1159119 1674283 5022849 15068547 98148649 294445947 883337841 1275932437 3827797311 11483391933 16587121681 49761365043 149284095129