Search a number
-
+
153341944921 = 1129723672
BaseRepresentation
bin1000111011001111100…
…1000110010001011001
3112122210122220220110101
42032303321012101121
510003021014214141
6154235550015401
714035646011624
oct2166371062131
9478718826411
10153341944921
115a039591900
1225875aa7561
13115c9a59669
1475c9568dbb
153ec71ba531
hex23b3e46459

153341944921 has 27 divisors (see below), whose sum is σ = 170770257567. Its totient is φ = 137588711040.

The previous prime is 153341944897. The next prime is 153341944963. The reversal of 153341944921 is 129449143351.

The square root of 153341944921 is 391589.

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

153341944921 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 only one way, i.e., 68856384025 + 84485560896 = 262405^2 + 290664^2 .

It is not a de Polignac number, because 153341944921 - 215 = 153341912153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153341944421) 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 26 ways as a sum of consecutive naturals, for example, 417825280 + ... + 417825646.

Almost surely, 2153341944921 is an apocalyptic number.

153341944921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153341944921 is the 391589-th square number.

153341944921 is the 195795-th centered octagonal number.

It is an amenable number.

153341944921 is a deficient number, since it is larger than the sum of its proper divisors (17428312646).

153341944921 is an frugal number, since it uses more digits than its factorization.

153341944921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The spelling of 153341944921 in words is "one hundred fifty-three billion, three hundred forty-one million, nine hundred forty-four thousand, nine hundred twenty-one".

Divisors: 1 11 97 121 367 1067 4037 9409 11737 35599 44407 103499 134689 391589 1138489 1481579 3453103 4307479 13064833 16297369 37984133 143713163 417825463 1267288801 1580844793 13940176811 153341944921