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144412323031 = 437947239001
BaseRepresentation
bin1000011001111110100…
…1010010110011010111
3111210202100021010001201
42012133221102303113
54331224023314111
6150201521133331
713301446330564
oct2063751226327
9453670233051
10144412323031
1156276a9a7a9
1223ba348a247
1310805a4b022
146dbd63386b
153b532916c1
hex219fa52cd7

144412323031 has 16 divisors (see below), whose sum is σ = 149689576960. Its totient is φ = 139223448000.

The previous prime is 144412323017. The next prime is 144412323037. The reversal of 144412323031 is 130323214441.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 144412323031 - 227 = 144278105303 is a prime.

It is a super-3 number, since 3×1444123230313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144412323037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16039531 + ... + 16048531.

It is an arithmetic number, because the mean of its divisors is an integer number (9355598560).

Almost surely, 2144412323031 is an apocalyptic number.

144412323031 is a deficient number, since it is larger than the sum of its proper divisors (5277253929).

144412323031 is an equidigital number, since it uses as much as digits as its factorization.

144412323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144412323031 its reverse (130323214441), we get a palindrome (274735537472).

The spelling of 144412323031 in words is "one hundred forty-four billion, four hundred twelve million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 43 79 3397 4723 9001 203089 373117 387043 711079 16044031 30576397 42511723 1828004089 3358426117 144412323031