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144444400000 = 2755361111
BaseRepresentation
bin1000011010000110001…
…1101010000110000000
3111210211120121210101121
42012201203222012000
54331310231300000
6150205024442024
713302316066465
oct2064143520600
9453746553347
10144444400000
115629310969a
1223bb2179314
131080c59c494
146dc39c366c
153b55ecab1a
hex21a18ea180

144444400000 has 96 divisors (see below), whose sum is σ = 359678385360. Its totient is φ = 57777600000.

The previous prime is 144444399949. The next prime is 144444400039. The reversal of 144444400000 is 4444441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219445 + ... + 580555.

Almost surely, 2144444400000 is an apocalyptic number.

144444400000 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 144444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179839192680).

144444400000 is an abundant number, since it is smaller than the sum of its proper divisors (215233985360).

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

144444400000 is an frugal number, since it uses more digits than its factorization.

144444400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361150 (or 361118 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 144444400000 its reverse (4444441), we get a palindrome (144448844441).

The spelling of 144444400000 in words is "one hundred forty-four billion, four hundred forty-four million, four hundred thousand".

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 16000 20000 25000 40000 50000 80000 100000 200000 361111 400000 722222 1444444 1805555 2888888 3611110 5777776 7222220 9027775 11555552 14444440 18055550 23111104 28888880 36111100 45138875 46222208 57777760 72222200 90277750 115555520 144444400 180555500 225694375 231111040 288888800 361111000 451388750 577777600 722222000 902777500 1128471875 1155555200 1444444000 1805555000 2256943750 2888888000 3611110000 4513887500 5777776000 7222220000 9027775000 14444440000 18055550000 28888880000 36111100000 72222200000 144444400000