Search a number
-
+
144002313213 = 31140152320807
BaseRepresentation
bin1000011000011100110…
…1001110101111111101
3111202200202202110022220
42012013031032233331
54324404043010323
6150053113155553
713255340315643
oct2060715165775
9452622673286
10144002313213
1156086608310
1223aaa0bbbb9
131076bb13575
146d80dc5193
153b2c2a20e3
hex218734ebfd

144002313213 has 32 divisors (see below), whose sum is σ = 210391852032. Its totient is φ = 86885856000.

The previous prime is 144002313211. The next prime is 144002313227. The reversal of 144002313213 is 312313200441.

It is a happy number.

It is not a de Polignac number, because 144002313213 - 21 = 144002313211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002313211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6910456 + ... + 6931262.

It is an arithmetic number, because the mean of its divisors is an integer number (6574745376).

Almost surely, 2144002313213 is an apocalyptic number.

It is an amenable number.

144002313213 is a deficient number, since it is larger than the sum of its proper divisors (66389538819).

144002313213 is a wasteful number, since it uses less digits than its factorization.

144002313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21745.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 144002313213 its reverse (312313200441), we get a palindrome (456315513654).

The spelling of 144002313213 in words is "one hundred forty-four billion, two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 11 33 401 523 1203 1569 4411 5753 13233 17259 20807 62421 209723 228877 629169 686631 2306953 6920859 8343607 10882061 25030821 32646183 91779677 119702671 275339031 359108013 4363706461 13091119383 48000771071 144002313213