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144137966232 = 2331317241127307
BaseRepresentation
bin1000011000111101001…
…0101101001010011000
3111210001020000100021210
42012033102231022120
54330143304404412
6150114400503120
713261605332541
oct2061722551230
9453036010253
10144137966232
1156146140447
1223b2761aaa0
1310790c5b120
146d950174c8
153b3914a83c
hex218f4ad298

144137966232 has 384 divisors, whose sum is σ = 426999767040. Its totient is φ = 40270970880.

The previous prime is 144137966221. The next prime is 144137966251. The reversal of 144137966232 is 232669731441.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 469504623 + ... + 469504929.

It is an arithmetic number, because the mean of its divisors is an integer number (1111978560).

Almost surely, 2144137966232 is an apocalyptic number.

144137966232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144137966232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213499883520).

144137966232 is an abundant number, since it is smaller than the sum of its proper divisors (282861800808).

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

144137966232 is a wasteful number, since it uses less digits than its factorization.

144137966232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 144137966232 in words is "one hundred forty-four billion, one hundred thirty-seven million, nine hundred sixty-six thousand, two hundred thirty-two".