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144201221322224 = 24112539322695991
BaseRepresentation
bin100000110010011001110110…
…100100101011010111110000
3200220120111120001100112011012
4200302121312210223113300
5122400043100124302344
61230405043200210052
742242123456231333
oct4062316644532760
9626514501315135
10144201221322224
1141a46438133520
121420b1b5309928
136260169876971
14278753a9cc61a
1511a1010c6929e
hex83267692b5f0

144201221322224 has 40 divisors (see below), whose sum is σ = 304908988920960. Its totient is φ = 65520193809600.

The previous prime is 144201221322113. The next prime is 144201221322307. The reversal of 144201221322224 is 422223122102441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160901132 + ... + 161794859.

It is an arithmetic number, because the mean of its divisors is an integer number (7622724723024).

Almost surely, 2144201221322224 is an apocalyptic number.

It is an amenable number.

144201221322224 is an abundant number, since it is smaller than the sum of its proper divisors (160707767598736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144201221322224 is a wasteful number, since it uses less digits than its factorization.

144201221322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322698549 (or 322698543 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144201221322224 its reverse (422223122102441), we get a palindrome (566424343424665).

The spelling of 144201221322224 in words is "one hundred forty-four trillion, two hundred one billion, two hundred twenty-one million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2539 5078 10156 20312 27929 40624 55858 111716 223432 446864 322695991 645391982 1290783964 2581567928 3549655901 5163135856 7099311802 14198623604 28397247208 56794494416 819325121149 1638650242298 3277300484596 6554600969192 9012576332639 13109201938384 18025152665278 36050305330556 72100610661112 144201221322224