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14512354144 = 254325142019
BaseRepresentation
bin11011000010000000…
…01111001101100000
31101110101112222022221
431201000033031200
5214210130313034
610400014040424
71022425655251
oct154100171540
941411488287
1014512354144
116177933512
1229901a9114
1314a37cb202
149b9566b28
1559e0dbbb4
hex36100f360

14512354144 has 48 divisors (see below), whose sum is σ = 29352818880. Its totient is φ = 7059024000.

The previous prime is 14512354139. The next prime is 14512354163. The reversal of 14512354144 is 44145321541.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 324367 + ... + 366385.

It is an arithmetic number, because the mean of its divisors is an integer number (611517060).

Almost surely, 214512354144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14512354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676409440).

14512354144 is an abundant number, since it is smaller than the sum of its proper divisors (14840464736).

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

14512354144 is a wasteful number, since it uses less digits than its factorization.

14512354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42323 (or 42315 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

Adding to 14512354144 its reverse (44145321541), we get a palindrome (58657675685).

The spelling of 14512354144 in words is "fourteen billion, five hundred twelve million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 251 344 502 688 1004 1376 2008 4016 8032 10793 21586 42019 43172 84038 86344 168076 172688 336152 345376 672304 1344608 1806817 3613634 7227268 10546769 14454536 21093538 28909072 42187076 57818144 84374152 168748304 337496608 453511067 907022134 1814044268 3628088536 7256177072 14512354144