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144716286 = 2311131511117
BaseRepresentation
bin10001010000000…
…11000111111110
3101002022100102110
420220003013332
5244021410121
622205434450
73405032241
oct1050030776
9332270373
10144716286
1174763540
124056ba26
1323c9bc50
1415311258
15ca88d76
hex8a031fe

144716286 has 64 divisors (see below), whose sum is σ = 342590976. Its totient is φ = 40176000.

The previous prime is 144716281. The next prime is 144716303. The reversal of 144716286 is 682617441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144716281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129000 + ... + 130116.

It is an arithmetic number, because the mean of its divisors is an integer number (5352984).

Almost surely, 2144716286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144716286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171295488).

144716286 is an abundant number, since it is smaller than the sum of its proper divisors (197874690).

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

144716286 is a wasteful number, since it uses less digits than its factorization.

144716286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its digits is 64512, while the sum is 39.

The square root of 144716286 is about 12029.8082278979. The cubic root of 144716286 is about 525.0159160708.

The spelling of 144716286 in words is "one hundred forty-four million, seven hundred sixteen thousand, two hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 858 906 1117 1661 1963 2234 3322 3351 3926 4983 5889 6702 9966 11778 12287 14521 21593 24574 29042 36861 43186 43563 64779 73722 87126 129558 159731 168667 319462 337334 479193 506001 958386 1012002 1855337 2192671 3710674 4385342 5566011 6578013 11132022 13156026 24119381 48238762 72358143 144716286