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144310324244000 = 2553238115152281
BaseRepresentation
bin100000110011111111011101…
…100111010010111000100000
3200220221221011121202012112212
4200303333131213102320200
5122403340021001302000
61230531125302341252
742253035235612355
oct4063773547227040
9626857147665485
10144310324244000
1141a88734967472
121422838372a828
13626a536261045
14278c92a9b662c
1511a3c99210c35
hex833fdd9d2e20

144310324244000 has 96 divisors (see below), whose sum is σ = 354719406695472. Its totient is φ = 57699882240000.

The previous prime is 144310324243997. The next prime is 144310324244003. The reversal of 144310324244000 is 442423013441.

It is an interprime number because it is at equal distance from previous prime (144310324243997) and next prime (144310324244003).

It can be written as a sum of positive squares in 8 ways, for example, as 12893356295824 + 131416967948176 = 3590732^2 + 11463724^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144310324244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947860 + ... + 17100140.

Almost surely, 2144310324244000 is an apocalyptic number.

144310324244000 is a gapful number since it is divisible by the number (10) 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 144310324244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177359703347736).

144310324244000 is an abundant number, since it is smaller than the sum of its proper divisors (210409082451472).

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

144310324244000 is a wasteful number, since it uses less digits than its factorization.

144310324244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154687 (or 15154669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144310324244000 its reverse (442423013441), we get a palindrome (144752747257441).

The spelling of 144310324244000 in words is "one hundred forty-four trillion, three hundred ten billion, three hundred twenty-four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2381 4000 4762 9524 11905 19048 23810 38096 47620 59525 76192 95240 119050 190480 238100 297625 380960 476200 595250 952400 1190500 1904800 2381000 4762000 9524000 15152281 30304562 60609124 75761405 121218248 151522810 242436496 303045620 378807025 484872992 606091240 757614050 1212182480 1515228100 1894035125 2424364960 3030456200 3788070250 6060912400 7576140500 12121824800 15152281000 30304562000 36077581061 60609124000 72155162122 144310324244 180387905305 288620648488 360775810610 577241296976 721551621220 901939526525 1154482593952 1443103242440 1803879053050 2886206484880 3607758106100 4509697632625 5772412969760 7215516212200 9019395265250 14431032424400 18038790530500 28862064848800 36077581061000 72155162122000 144310324244000