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144344143400 = 23526711395327
BaseRepresentation
bin1000011001101110010…
…1001101011000101000
3111210120120222020012012
42012123211031120220
54331104100042100
6150151043535052
713266660655262
oct2063345153050
9453516866165
10144344143400
11562415623a6
1223b8468a488
13107c4898c52
146db4566b32
153b4c2c5135
hex219b94d628

144344143400 has 96 divisors (see below), whose sum is σ = 343626935040. Its totient is φ = 56371983360.

The previous prime is 144344143399. The next prime is 144344143423. The reversal of 144344143400 is 4341443441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466537 + ... + 1561863.

It is an arithmetic number, because the mean of its divisors is an integer number (3579447240).

Almost surely, 2144344143400 is an apocalyptic number.

144344143400 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 144344143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171813467520).

144344143400 is an abundant number, since it is smaller than the sum of its proper divisors (199282791640).

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

144344143400 is a wasteful number, since it uses less digits than its factorization.

144344143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95523 (or 95514 counting only the distinct ones).

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

Adding to 144344143400 its reverse (4341443441), we get a palindrome (148685586841).

It can be divided in two parts, 1443441 and 43400, that added together give a palindrome (1486841).

The spelling of 144344143400 in words is "one hundred forty-four billion, three hundred forty-four million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 113 134 200 226 268 335 452 536 565 670 904 1130 1340 1675 2260 2680 2825 3350 4520 5650 6700 7571 11300 13400 15142 22600 30284 37855 60568 75710 95327 151420 189275 190654 302840 378550 381308 476635 757100 762616 953270 1514200 1906540 2383175 3813080 4766350 6386909 9532700 10771951 12773818 19065400 21543902 25547636 31934545 43087804 51095272 53859755 63869090 86175608 107719510 127738180 159672725 215439020 255476360 269298775 319345450 430878040 538597550 638690900 721720717 1077195100 1277381800 1443441434 2154390200 2886882868 3608603585 5773765736 7217207170 14434414340 18043017925 28868828680 36086035850 72172071700 144344143400