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144235296 = 25331391201
BaseRepresentation
bin10001001100011…
…01101100100000
3101001101220122000
420212031230200
5243411012141
622151244000
73400660032
oct1046155440
9331356560
10144235296
1174465127
1240379600
1323b6103a
1415227c52
15c9e15b6
hex898db20

144235296 has 96 divisors (see below), whose sum is σ = 424065600. Its totient is φ = 47692800.

The previous prime is 144235291. The next prime is 144235307. The reversal of 144235296 is 692532441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1442352962 = 41607641224415232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144235296.

It is not an unprimeable number, because it can be changed into a prime (144235291) 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 15 ways as a sum of consecutive naturals, for example, 119496 + ... + 120696.

It is an arithmetic number, because the mean of its divisors is an integer number (4417350).

Almost surely, 2144235296 is an apocalyptic number.

144235296 is a gapful number since it is divisible by the number (16) 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 144235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212032800).

144235296 is an abundant number, since it is smaller than the sum of its proper divisors (279830304).

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

144235296 is a wasteful number, since it uses less digits than its factorization.

144235296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1345 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 144235296 is about 12009.7999983347. The cubic root of 144235296 is about 524.4336095839.

The spelling of 144235296 in words is "one hundred forty-four million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 834 864 1112 1201 1251 1668 2224 2402 2502 3336 3603 3753 4448 4804 5004 6672 7206 7506 9608 10008 10809 13344 14412 15012 19216 20016 21618 28824 30024 32427 38432 40032 43236 57648 60048 64854 86472 115296 120096 129708 166939 172944 259416 333878 345888 500817 518832 667756 1001634 1037664 1335512 1502451 2003268 2671024 3004902 4006536 4507353 5342048 6009804 8013072 9014706 12019608 16026144 18029412 24039216 36058824 48078432 72117648 144235296