Search a number
-
+
151849723041 = 321298932
BaseRepresentation
bin1000110101101011110…
…0101110010010100001
3112111221200001011212100
42031122330232102201
54441442012114131
6153431522321013
713653656230542
oct2153274562241
9474850034770
10151849723041
1159443234485
122551a1b9169
131141c85b833
1474c72cc4c9
153e3b1aa7e6
hex235af2e4a1

151849723041 has 9 divisors (see below), whose sum is σ = 219340177459. Its totient is φ = 101232369336.

The previous prime is 151849723027. The next prime is 151849723061. The reversal of 151849723041 is 140327948151.

The square root of 151849723041 is 389679.

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

151849723041 is a `hidden beast` number, since 1 + 518 + 4 + 97 + 2 + 3 + 0 + 41 = 666.

151849723041 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., 10927566225 + 140922156816 = 104535^2 + 375396^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 151849723041 - 25 = 151849723009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151849723061) 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, 1104091 + ... + 1233983.

Almost surely, 2151849723041 is an apocalyptic number.

151849723041 is the 389679-th square number.

151849723041 is the 194840-th centered octagonal number.

It is an amenable number.

151849723041 is a deficient number, since it is larger than the sum of its proper divisors (67490454418).

151849723041 is an frugal number, since it uses more digits than its factorization.

151849723041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259792 (or 129896 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 151849723041 in words is "one hundred fifty-one billion, eight hundred forty-nine million, seven hundred twenty-three thousand, forty-one".

Divisors: 1 3 9 129893 389679 1169037 16872191449 50616574347 151849723041