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144200169932 = 227131943617949
BaseRepresentation
bin1000011001001011111…
…1111111100111001100
3111210012120001121201112
42012102333333213030
54330310220414212
6150124502031152
713263262135460
oct2062277774714
9453176047645
10144200169932
1156178266a65
1223b444184b8
13107a0aca150
146d9d3aa4a0
153b3e836422
hex2192fff9cc

144200169932 has 192 divisors, whose sum is σ = 340061568000. Its totient is φ = 51915064320.

The previous prime is 144200169877. The next prime is 144200169947. The reversal of 144200169932 is 239961002441.

It is a self number, because there is not a number n which added to its sum of digits gives 144200169932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18136694 + ... + 18144642.

It is an arithmetic number, because the mean of its divisors is an integer number (1771154000).

Almost surely, 2144200169932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144200169932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170030784000).

144200169932 is an abundant number, since it is smaller than the sum of its proper divisors (195861398068).

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

144200169932 is a wasteful number, since it uses less digits than its factorization.

144200169932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 144200169932 in words is "one hundred forty-four billion, two hundred million, one hundred sixty-nine thousand, nine hundred thirty-two".