Search a number
-
+
144041132124121 = 1921559602942451
BaseRepresentation
bin100000110000000100110000…
…100000110110011111011001
3200220000012100011021122100211
4200300010300200312133121
5122334432214310432441
61230203325501131121
742224425350422341
oct4060046040663731
9626005304248324
10144041132124121
1141994556a37521
12141a4177859aa1
13624b035ca90cb
14277d8b12d9d21
15119bc9155ca81
hex8301308367d9

144041132124121 has 24 divisors (see below), whose sum is σ = 152147577441600. Its totient is φ = 136346658069600.

The previous prime is 144041132124103. The next prime is 144041132124133. The reversal of 144041132124121 is 121421231140441.

It is a happy number.

It is not a de Polignac number, because 144041132124121 - 25 = 144041132124089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144041132124101) 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 23 ways as a sum of consecutive naturals, for example, 3393093946 + ... + 3393136396.

It is an arithmetic number, because the mean of its divisors is an integer number (6339482393400).

Almost surely, 2144041132124121 is an apocalyptic number.

It is an amenable number.

144041132124121 is a deficient number, since it is larger than the sum of its proper divisors (8106445317479).

144041132124121 is a wasteful number, since it uses less digits than its factorization.

144041132124121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50077 (or 50058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 144041132124121 its reverse (121421231140441), we get a palindrome (265462363264562).

The spelling of 144041132124121 in words is "one hundred forty-four trillion, forty-one billion, one hundred thirty-two million, one hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 19 361 1559 6029 29621 42451 114551 562799 806569 2176469 9399211 15324811 66181109 178585009 255937079 1257441071 3393115171 4862804501 23891380349 92393285519 399005906161 7581112217059 144041132124121