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145461041 = 1173792293
BaseRepresentation
bin10001010101110…
…00111100110001
3101010201012000222
420222320330301
5244214223131
622233422425
73414253445
oct1052707461
9333635028
10145461041
1175122040
124086aa15
132419cc2b
1415466825
15cb8487b
hex8ab8f31

145461041 has 16 divisors (see below), whose sum is σ = 162965760. Its totient is φ = 128718720.

The previous prime is 145461031. The next prime is 145461059. The reversal of 145461041 is 140164541.

145461041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 145461041 - 222 = 141266737 is a prime.

It is a super-3 number, since 3×1454610413 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145461041.

It is not an unprimeable number, because it can be changed into a prime (145461011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62291 + ... + 64583.

It is an arithmetic number, because the mean of its divisors is an integer number (10185360).

Almost surely, 2145461041 is an apocalyptic number.

145461041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145461041 is a deficient number, since it is larger than the sum of its proper divisors (17504719).

145461041 is a wasteful number, since it uses less digits than its factorization.

145461041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 145461041 is about 12060.7230711927. The cubic root of 145461041 is about 525.9150072064.

The spelling of 145461041 in words is "one hundred forty-five million, four hundred sixty-one thousand, forty-one".

Divisors: 1 11 73 79 803 869 2293 5767 25223 63437 167389 181147 1841279 1992617 13223731 145461041