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144302472 = 2334832683
BaseRepresentation
bin10001001100111…
…10000110001000
3101001112022210000
420212132012020
5243420134342
622152523000
73401356626
oct1046360610
9331468700
10144302472
1174500646
12403b0460
1323b857a2
1415244516
15ca0644c
hex899e188

144302472 has 80 divisors (see below), whose sum is σ = 409202640. Its totient is φ = 47503584.

The previous prime is 144302471. The next prime is 144302491. The reversal of 144302472 is 274203441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144302471) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 52443 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (5115033).

Almost surely, 2144302472 is an apocalyptic number.

144302472 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 144302472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204601320).

144302472 is an abundant number, since it is smaller than the sum of its proper divisors (264900168).

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

144302472 is a wasteful number, since it uses less digits than its factorization.

144302472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 144302472 is about 12012.5963887912. The cubic root of 144302472 is about 524.5150133395.

The spelling of 144302472 in words is "one hundred forty-four million, three hundred two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2683 2988 4482 5366 5976 6723 8049 8964 10732 13446 16098 17928 21464 24147 26892 32196 48294 53784 64392 72441 96588 144882 193176 217323 222689 289764 434646 445378 579528 668067 869292 890756 1336134 1738584 1781512 2004201 2672268 4008402 5344536 6012603 8016804 12025206 16033608 18037809 24050412 36075618 48100824 72151236 144302472