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149655114 = 23472171109
BaseRepresentation
bin10001110101110…
…00111001001010
3101102121021020000
420322320321022
5301302430424
622503343430
73465022200
oct1072707112
9342537200
10149655114
1177527114
1242151b76
132500ac2b
1415c39070
15d2123c9
hex8eb8e4a

149655114 has 120 divisors (see below), whose sum is σ = 413406180. Its totient is φ = 40207104.

The previous prime is 149655113. The next prime is 149655137. The reversal of 149655114 is 411556941.

149655114 is a `hidden beast` number, since 1 + 4 + 96 + 551 + 14 = 666.

149655114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144793089 + 4862025 = 12033^2 + 2205^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149655113) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134392 + ... + 135500.

Almost surely, 2149655114 is an apocalyptic number.

149655114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149655114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206703090).

149655114 is an abundant number, since it is smaller than the sum of its proper divisors (263751066).

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

149655114 is a wasteful number, since it uses less digits than its factorization.

149655114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 149655114 is about 12233.3606993336. The cubic root of 149655114 is about 530.9217542467.

It can be divided in two parts, 149655 and 114, that added together give a square (149769 = 3872).

The spelling of 149655114 in words is "one hundred forty-nine million, six hundred fifty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 81 98 102 119 126 147 153 162 189 238 294 306 357 378 441 459 567 714 833 882 918 1071 1109 1134 1323 1377 1666 2142 2218 2499 2646 2754 3213 3327 3969 4998 6426 6654 7497 7763 7938 9639 9981 14994 15526 18853 19278 19962 22491 23289 29943 37706 44982 46578 54341 56559 59886 67473 69867 89829 108682 113118 131971 134946 139734 163023 169677 179658 209601 263942 326046 339354 395913 419202 489069 509031 628803 791826 923797 978138 1018062 1187739 1257606 1467207 1527093 1847594 2375478 2771391 2934414 3054186 3563217 4401621 5542782 7126434 8314173 8803242 10689651 16628346 21379302 24942519 49885038 74827557 149655114