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145014777 = 32171576037
BaseRepresentation
bin10001010010010…
…11111111111001
3101002212111212200
420221023333321
5244110433102
622220100413
73410414415
oct1051137771
9332774780
10145014777
1174947826
1240694709
1324074a7b
141538bd45
15cae751c
hex8a4bff9

145014777 has 24 divisors (see below), whose sum is σ = 223236936. Its totient is φ = 90395136.

The previous prime is 145014767. The next prime is 145014797. The reversal of 145014777 is 777410541.

It can be written as a sum of positive squares in 4 ways, for example, as 10361961 + 134652816 = 3219^2 + 11604^2 .

It is not a de Polignac number, because 145014777 - 218 = 144752633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145014767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21003 + ... + 27039.

It is an arithmetic number, because the mean of its divisors is an integer number (9301539).

Almost surely, 2145014777 is an apocalyptic number.

145014777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145014777 is a deficient number, since it is larger than the sum of its proper divisors (78222159).

145014777 is a wasteful number, since it uses less digits than its factorization.

145014777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 145014777 is about 12042.2081446884. The cubic root of 145014777 is about 525.3766331415.

The spelling of 145014777 in words is "one hundred forty-five million, fourteen thousand, seven hundred seventy-seven".

Divisors: 1 3 9 17 51 153 157 471 1413 2669 6037 8007 18111 24021 54333 102629 307887 923661 947809 2843427 8530281 16112753 48338259 145014777