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144453456 = 2434715923
BaseRepresentation
bin10001001110000…
…10111101010000
3101001210222220000
420213002331100
5243440002311
622200050000
73402556050
oct1047027520
9331728800
10144453456
11745a4024
1240463900
1323c09424
1415283560
15ca36056
hex89c2f50

144453456 has 100 divisors (see below), whose sum is σ = 477847392. Its totient is φ = 41269824.

The previous prime is 144453451. The next prime is 144453473. The reversal of 144453456 is 654354441.

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 144453456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144453451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1111 + ... + 17033.

Almost surely, 2144453456 is an apocalyptic number.

144453456 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 144453456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238923696).

144453456 is an abundant number, since it is smaller than the sum of its proper divisors (333393936).

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

144453456 is a wasteful number, since it uses less digits than its factorization.

144453456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15935 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 144453456 is about 12018.8791490721. The cubic root of 144453456 is about 524.6978833200.

The spelling of 144453456 in words is "one hundred forty-four million, four hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 15923 31846 47769 63692 95538 111461 127384 143307 191076 222922 254768 286614 334383 382152 429921 445844 573228 668766 764304 859842 891688 1003149 1146456 1289763 1337532 1719684 1783376 2006298 2292912 2579526 2675064 3009447 3439368 4012596 5159052 5350128 6018894 6878736 8025192 9028341 10318104 12037788 16050384 18056682 20636208 24075576 36113364 48151152 72226728 144453456