Search a number
-
+
146154054601 = 73252372
BaseRepresentation
bin1000100000011101110…
…1011110001111001001
3111222020201122020121101
42020013131132033021
54343310414221401
6151050420341401
713362555652312
oct2100735361711
9458221566541
10146154054601
1156a90176485
12243aa844861
1310a22849319
147106a9d609
153c0613a101
hex220775e3c9

146154054601 has 9 divisors (see below), whose sum is σ = 148211892021. Its totient is φ = 144124418592.

The previous prime is 146154054589. The next prime is 146154054617. The reversal of 146154054601 is 106450451641.

The square root of 146154054601 is 382301.

It is a perfect power (a square), and thus also a powerful number.

146154054601 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 4 ways, for example, as 29258444601 + 116895610000 = 171051^2 + 341900^2 .

It is not a de Polignac number, because 146154054601 - 229 = 145617183689 is a prime.

It is a super-2 number, since 2×1461540546012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146154054401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27905355 + ... + 27910591.

Almost surely, 2146154054601 is an apocalyptic number.

146154054601 is the 382301-st square number.

146154054601 is the 191151-st centered octagonal number.

It is an amenable number.

146154054601 is a deficient number, since it is larger than the sum of its proper divisors (2057837420).

146154054601 is an frugal number, since it uses more digits than its factorization.

146154054601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 146154054601 in words is "one hundred forty-six billion, one hundred fifty-four million, fifty-four thousand, six hundred one".

Divisors: 1 73 5237 5329 382301 27426169 27907973 2002110337 146154054601