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145381977 = 321317193847
BaseRepresentation
bin10001010101001…
…01101001011001
3101010120011120200
420222211221121
5244204210402
622232012413
73413504106
oct1052455131
9333504520
10145381977
11750786a4
1240831109
1324172c50
1415445aad
15cb6b21c
hex8aa5a59

145381977 has 48 divisors (see below), whose sum is σ = 252120960. Its totient is φ = 79750656.

The previous prime is 145381969. The next prime is 145381979. The reversal of 145381977 is 779183541.

145381977 is a `hidden beast` number, since 1 + 453 + 8 + 197 + 7 = 666.

It is not a de Polignac number, because 145381977 - 23 = 145381969 is a prime.

It is a super-2 number, since 2×1453819772 = 42271838472857058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145381979) 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 47 ways as a sum of consecutive naturals, for example, 35868 + ... + 39714.

It is an arithmetic number, because the mean of its divisors is an integer number (5252520).

Almost surely, 2145381977 is an apocalyptic number.

145381977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145381977 is a deficient number, since it is larger than the sum of its proper divisors (106738983).

145381977 is a wasteful number, since it uses less digits than its factorization.

145381977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3899 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 145381977 is about 12057.4448785802. Note that the first 3 decimals coincide. The cubic root of 145381977 is about 525.8197045288.

The spelling of 145381977 in words is "one hundred forty-five million, three hundred eighty-one thousand, nine hundred seventy-seven".

Divisors: 1 3 9 13 17 19 39 51 57 117 153 171 221 247 323 663 741 969 1989 2223 2907 3847 4199 11541 12597 34623 37791 50011 65399 73093 150033 196197 219279 450099 588591 657837 850187 950209 1242581 2550561 2850627 3727743 7651683 8551881 11183229 16153553 48460659 145381977