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144334223232 = 2731427263399
BaseRepresentation
bin1000011001101011111…
…1010111011110000000
3111210112220022020021120
42012122333113132000
54331044030120412
6150150051152240
713266510440433
oct2063277273600
9453486266246
10144334223232
11562369a7211
1223b812a5680
13107c2804824
146db310381a
153b4b4b5b8c
hex219afd7780

144334223232 has 64 divisors (see below), whose sum is σ = 383657904000. Its totient is φ = 48077510144.

The previous prime is 144334223177. The next prime is 144334223239. The reversal of 144334223232 is 232322433441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144334223193 and 144334223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144334223239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416269 + ... + 679667.

It is an arithmetic number, because the mean of its divisors is an integer number (5994654750).

Almost surely, 2144334223232 is an apocalyptic number.

144334223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144334223232 is an abundant number, since it is smaller than the sum of its proper divisors (239323680768).

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

144334223232 is a wasteful number, since it uses less digits than its factorization.

144334223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264843 (or 264831 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 144334223232 its reverse (232322433441), we get a palindrome (376656656673).

The spelling of 144334223232 in words is "one hundred forty-four billion, three hundred thirty-four million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1427 2854 4281 5708 8562 11416 17124 22832 34248 45664 68496 91328 136992 182656 263399 273984 526798 547968 790197 1053596 1580394 2107192 3160788 4214384 6321576 8428768 12643152 16857536 25286304 33715072 50572608 101145216 375870373 751740746 1127611119 1503481492 2255222238 3006962984 4510444476 6013925968 9020888952 12027851936 18041777904 24055703872 36083555808 48111407744 72167111616 144334223232