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144400210340 = 22517676338903
BaseRepresentation
bin1000011001111011101…
…1000101100110100100
3111210201111110201120112
42012132323011212210
54331212423212330
6150200405352152
713301241351611
oct2063673054644
9453644421515
10144400210340
1156270177311
1223b9b408658
1310803399959
146dbbb9d508
153b5219c795
hex219eec59a4

144400210340 has 48 divisors (see below), whose sum is σ = 325870376832. Its totient is φ = 53551044096.

The previous prime is 144400210333. The next prime is 144400210351. The reversal of 144400210340 is 43012004441.

It is a happy number.

144400210340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3146672 + ... + 3192231.

It is an arithmetic number, because the mean of its divisors is an integer number (6788966184).

Almost surely, 2144400210340 is an apocalyptic number.

144400210340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400210340 is an abundant number, since it is smaller than the sum of its proper divisors (181470166492).

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

144400210340 is a wasteful number, since it uses less digits than its factorization.

144400210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338996 (or 6338994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 144400210340 its reverse (43012004441), we get a palindrome (187412214781).

The spelling of 144400210340 in words is "one hundred forty-four billion, four hundred million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 22780 6338903 12677806 25355612 31694515 63389030 107761351 126778060 215522702 424706501 431045404 538806755 849413002 1077613510 1698826004 2123532505 2155227020 4247065010 7220010517 8494130020 14440021034 28880042068 36100052585 72200105170 144400210340