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144034251040 = 2553112894579
BaseRepresentation
bin1000011000100100011…
…1000100000100100000
3111202202222212001210101
42012021013010010200
54324440232013130
6150100213512144
713256205635101
oct2061107040440
9452688761711
10144034251040
11560a2641709
1223ab8942654
13107756165a4
146d8533a3a8
153b2eeb01ca
hex21891c4120

144034251040 has 48 divisors (see below), whose sum is σ = 341375186880. Its totient is φ = 57428427520.

The previous prime is 144034251001. The next prime is 144034251041. The reversal of 144034251040 is 40152430441.

It is not an unprimeable number, because it can be changed into a prime (144034251041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397530 + ... + 1497049.

It is an arithmetic number, because the mean of its divisors is an integer number (7111983060).

Almost surely, 2144034251040 is an apocalyptic number.

144034251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034251040 is an abundant number, since it is smaller than the sum of its proper divisors (197340935840).

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

144034251040 is a wasteful number, since it uses less digits than its factorization.

144034251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894905 (or 2894897 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 144034251040 its reverse (40152430441), we get a palindrome (184186681481).

The spelling of 144034251040 in words is "one hundred forty-four billion, thirty-four million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 311 622 1244 1555 2488 3110 4976 6220 9952 12440 24880 49760 2894579 5789158 11578316 14472895 23156632 28945790 46313264 57891580 92626528 115783160 231566320 463132640 900214069 1800428138 3600856276 4501070345 7201712552 9002140690 14403425104 18004281380 28806850208 36008562760 72017125520 144034251040