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54330223000144 = 2471347977901281
BaseRepresentation
bin11000101101001101111011…
…01001000111101001010000
321010100220210122200110212211
430112212331221013221100
524110121244042001034
6311314543200201504
714305141400545630
oct1426467551075120
9233326718613784
1054330223000144
1116347355552323
126115689909294
132441419990540
14d5b84d9826c0
156433c17a1d64
hex3169bda47a50

54330223000144 has 80 divisors (see below), whose sum is σ = 129827160529920. Its totient is φ = 21448403619840.

The previous prime is 54330223000139. The next prime is 54330223000243. The reversal of 54330223000144 is 44100032203345.

It is a happy number.

54330223000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×543302230001442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38253217 + ... + 39648064.

It is an arithmetic number, because the mean of its divisors is an integer number (1622839506624).

Almost surely, 254330223000144 is an apocalyptic number.

It is an amenable number.

54330223000144 is an abundant number, since it is smaller than the sum of its proper divisors (75496937529776).

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

54330223000144 is a wasteful number, since it uses less digits than its factorization.

54330223000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77901788 (or 77901782 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 54330223000144 its reverse (44100032203345), we get a palindrome (98430255203489).

The spelling of 54330223000144 in words is "fifty-four trillion, three hundred thirty billion, two hundred twenty-three million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 479 728 958 1456 1916 3353 3832 6227 6706 7664 12454 13412 24908 26824 43589 49816 53648 87178 99632 174356 348712 697424 77901281 155802562 311605124 545308967 623210248 1012716653 1090617934 1246420496 2025433306 2181235868 4050866612 4362471736 7089016571 8101733224 8724943472 14178033142 16203466448 28356066284 37314713599 56712132568 74629427198 113424265136 149258854396 261202995193 298517708792 485091276787 522405990386 597035417584 970182553574 1044811980772 1940365107148 2089623961544 3395638937509 3880730214296 4179247923088 6791277875018 7761460428592 13582555750036 27165111500072 54330223000144