Search a number
-
+
144873193401 = 32177717122701
BaseRepresentation
bin1000011011101100011…
…1010111111110111001
3111211221110110202100200
42012323013113332321
54333200014142101
6150315343152413
713316043553146
oct2067307277671
9454843422320
10144873193401
1156493160502
12240b18a5709
131087a3827a1
1470249213cd
153b7d97a986
hex21bb1d7fb9

144873193401 has 24 divisors (see below), whose sum is σ = 221601284424. Its totient is φ = 90888307200.

The previous prime is 144873193397. The next prime is 144873193447. The reversal of 144873193401 is 104391378441.

It is a happy number.

144873193401 is a `hidden beast` number, since 14 + 48 + 7 + 3 + 193 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80712810000 + 64160383401 = 284100^2 + 253299^2 .

It is not a de Polignac number, because 144873193401 - 22 = 144873193397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144873193601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119351 + ... + 1242051.

It is an arithmetic number, because the mean of its divisors is an integer number (9233386851).

Almost surely, 2144873193401 is an apocalyptic number.

It is an amenable number.

144873193401 is a deficient number, since it is larger than the sum of its proper divisors (76728091023).

144873193401 is a wasteful number, since it uses less digits than its factorization.

144873193401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130441 (or 130438 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 144873193401 in words is "one hundred forty-four billion, eight hundred seventy-three million, one hundred ninety-three thousand, four hundred one".

Divisors: 1 3 9 17 51 153 7717 23151 69453 122701 131189 368103 393567 1104309 1180701 2085917 6257751 18773253 946883617 2840650851 8521952553 16097021489 48291064467 144873193401