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146218149 = 33711531327
BaseRepresentation
bin10001011011100…
…01110010100101
3101012010122121000
420231301302211
5244412440044
622301543513
73423555660
oct1055616245
9335118530
10146218149
1175599950
1240b74b99
13243a671c
14155c26d7
15cc83d69
hex8b71ca5

146218149 has 64 divisors (see below), whose sum is σ = 275374080. Its totient is φ = 74468160.

The previous prime is 146218141. The next prime is 146218157. The reversal of 146218149 is 941812641.

146218149 is a `hidden beast` number, since 14 + 621 + 8 + 14 + 9 = 666.

146218149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146218141) and next prime (146218157).

It is not a de Polignac number, because 146218149 - 23 = 146218141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146218141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109524 + ... + 110850.

It is an arithmetic number, because the mean of its divisors is an integer number (4302720).

Almost surely, 2146218149 is an apocalyptic number.

It is an amenable number.

146218149 is a deficient number, since it is larger than the sum of its proper divisors (129155931).

146218149 is a wasteful number, since it uses less digits than its factorization.

146218149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 146218149 is about 12092.0696739640. The cubic root of 146218149 is about 526.8258711045.

The spelling of 146218149 in words is "one hundred forty-six million, two hundred eighteen thousand, one hundred forty-nine".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1113 1327 1431 1749 2079 3339 3981 4081 5247 9289 10017 11943 12243 14597 15741 27867 35829 36729 43791 70331 83601 102179 110187 131373 210993 250803 306537 394119 492317 632979 773641 919611 1476951 1898937 2320923 2758833 4430853 5415487 6962769 13292559 16246461 20888307 48739383 146218149