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144000141132 = 22329911454219
BaseRepresentation
bin1000011000011100010…
…0111100011101001100
3111202200121200002210110
42012013010330131030
54324403014004012
6150052554440020
713255313001231
oct2060704743514
9452617602713
10144000141132
1156085364401
1223aa9433010
131076b532a03
146d809bb788
153b2bec373c
hex218713c74c

144000141132 has 48 divisors (see below), whose sum is σ = 347968857600. Its totient is φ = 46293898560.

The previous prime is 144000141091. The next prime is 144000141151. The reversal of 144000141132 is 231141000441.

It is a junction number, because it is equal to n+sod(n) for n = 144000141099 and 144000141108.

It is an unprimeable number.

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, 89919 + ... + 544137.

It is an arithmetic number, because the mean of its divisors is an integer number (7249351200).

Almost surely, 2144000141132 is an apocalyptic number.

144000141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144000141132 is an abundant number, since it is smaller than the sum of its proper divisors (203968716468).

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

144000141132 is a wasteful number, since it uses less digits than its factorization.

144000141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455166 (or 455164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 144000141132 its reverse (231141000441), we get a palindrome (375141141573).

The spelling of 144000141132 in words is "one hundred forty-four billion, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 911 1822 2733 3644 5466 10932 26419 52838 79257 105676 158514 317028 454219 908438 1362657 1816876 2725314 5450628 13172351 26344702 39517053 52689404 79034106 158068212 413793509 827587018 1241380527 1655174036 2482761054 4965522108 12000011761 24000023522 36000035283 48000047044 72000070566 144000141132