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144542000000 = 275672271
BaseRepresentation
bin1000011010011101011…
…1111110001110000000
3111211002101021101102102
42012213113332032000
54332010223000000
6150222432405532
713304612504546
oct2064727761600
9454071241372
10144542000000
1156333210a52
122401a9a68a8
1310826882768
146dd294bd96
153b5e8593d5
hex21a75fe380

144542000000 has 112 divisors (see below), whose sum is σ = 359943830160. Its totient is φ = 57816000000.

The previous prime is 144541999999. The next prime is 144542000003. The reversal of 144542000000 is 245441.

144542000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144542000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1963865 + ... + 2036135.

Almost surely, 2144542000000 is an apocalyptic number.

144542000000 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 144542000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179971915080).

144542000000 is an abundant number, since it is smaller than the sum of its proper divisors (215401830160).

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

144542000000 is an frugal number, since it uses more digits than its factorization.

144542000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72315 (or 72278 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 144542000000 its reverse (245441), we get a palindrome (144542245441).

The spelling of 144542000000 in words is "one hundred forty-four billion, five hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 72271 80000 100000 125000 144542 200000 250000 289084 361355 400000 500000 578168 722710 1000000 1156336 1445420 1806775 2000000 2312672 2890840 3613550 4625344 5781680 7227100 9033875 9250688 11563360 14454200 18067750 23126720 28908400 36135500 45169375 46253440 57816800 72271000 90338750 115633600 144542000 180677500 225846875 231267200 289084000 361355000 451693750 578168000 722710000 903387500 1129234375 1156336000 1445420000 1806775000 2258468750 2890840000 3613550000 4516937500 5781680000 7227100000 9033875000 14454200000 18067750000 28908400000 36135500000 72271000000 144542000000