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144342123432 = 233132113218947
BaseRepresentation
bin1000011001101101110…
…1100000001110101000
3111210120110011121022120
42012123131200032220
54331103040422212
6150150532351240
713266634543203
oct2063335401650
9453513147276
10144342123432
1156240402801
1223b83a75520
13107c433c6c0
146db419c93a
153b4c02688c
hex219b7603a8

144342123432 has 64 divisors (see below), whose sum is σ = 388799100480. Its totient is φ = 44391739392.

The previous prime is 144342123413. The next prime is 144342123433. The reversal of 144342123432 is 234321243441.

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 = 144342123393 and 144342123402.

It is not an unprimeable number, because it can be changed into a prime (144342123433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549783 + ... + 768729.

It is an arithmetic number, because the mean of its divisors is an integer number (6074985945).

Almost surely, 2144342123432 is an apocalyptic number.

144342123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144342123432 is an abundant number, since it is smaller than the sum of its proper divisors (244456977048).

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

144342123432 is a wasteful number, since it uses less digits than its factorization.

144342123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221082 (or 221078 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 144342123432 its reverse (234321243441), we get a palindrome (378663366873).

The spelling of 144342123432 in words is "one hundred forty-four billion, three hundred forty-two million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 2113 4226 6339 8452 12678 16904 25356 27469 50712 54938 82407 109876 164814 218947 219752 329628 437894 656841 659256 875788 1313682 1751576 2627364 2846311 5254728 5692622 8538933 11385244 17077866 22770488 34155732 68311464 462635011 925270022 1387905033 1850540044 2775810066 3701080088 5551620132 6014255143 11103240264 12028510286 18042765429 24057020572 36085530858 48114041144 72171061716 144342123432