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144394292 = 22741731723
BaseRepresentation
bin10001001101101…
…00100000110100
3101001200222201202
420212310200310
5243431104132
622154512032
73402221420
oct1046644064
9331628652
10144394292
1174563629
1240435618
1323bb8513
1415269b80
15ca23762
hex89b4834

144394292 has 48 divisors (see below), whose sum is σ = 300058752. Its totient is φ = 59512320.

The previous prime is 144394279. The next prime is 144394309. The reversal of 144394292 is 292493441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82943 + ... + 84665.

It is an arithmetic number, because the mean of its divisors is an integer number (6251224).

Almost surely, 2144394292 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 144394292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150029376).

144394292 is an abundant number, since it is smaller than the sum of its proper divisors (155664460).

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

144394292 is a wasteful number, since it uses less digits than its factorization.

144394292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 144394292 is about 12016.4176025969. The cubic root of 144394292 is about 524.6262397943.

The spelling of 144394292 in words is "one hundred forty-four million, three hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 41 73 82 146 164 287 292 511 574 1022 1148 1723 2044 2993 3446 5986 6892 11972 12061 20951 24122 41902 48244 70643 83804 125779 141286 251558 282572 494501 503116 880453 989002 1760906 1978004 3521812 5156939 10313878 20627756 36098573 72197146 144394292