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144224304142321 = 1367569313792767
BaseRepresentation
bin100000110010101111010110…
…011010101001011111110001
3200220122201010201202021120001
4200302233112122221133301
5122400432333330023241
61230423421453150001
742243601464041044
oct4062572632513761
9626581121667501
10144224304142321
1141a5520284a947
121421377778b301
1362623a7b429b0
1427886ca4b8c5b
1511a1912488431
hex832bd66a97f1

144224304142321 has 32 divisors (see below), whose sum is σ = 157965751157760. Its totient is φ = 130869487558656.

The previous prime is 144224304142283. The next prime is 144224304142351. The reversal of 144224304142321 is 123241403422441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144224304142321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144224304142351) 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, 1554647680 + ... + 1554740446.

It is an arithmetic number, because the mean of its divisors is an integer number (4936429723680).

Almost surely, 2144224304142321 is an apocalyptic number.

It is an amenable number.

144224304142321 is a deficient number, since it is larger than the sum of its proper divisors (13741447015439).

144224304142321 is a wasteful number, since it uses less digits than its factorization.

144224304142321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96553.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 144224304142321 its reverse (123241403422441), we get a palindrome (267465707564762).

The spelling of 144224304142321 in words is "one hundred forty-four trillion, two hundred twenty-four billion, three hundred four million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 13 67 569 871 3137 7397 38123 40781 92767 210179 495599 1205971 1784953 2732327 6215389 23204389 52784423 80800057 119591851 291010079 686197499 1554694063 3536556341 3783131027 19497675293 45975232433 165584734951 253469778809 2152601554363 11094177241717 144224304142321