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54140421203055 = 32511719511161969
BaseRepresentation
bin11000100111101100011001…
…00100101110010001101111
321002200202220001010011210100
430103312030210232101233
524044014040311444210
6311051433253042143
714255342052104625
oct1423661444562157
9232622801104710
1054140421203055
11162839073709a0
1260a4939626353
13242955c436b75
14d525a6099515
1563d4b37dc5c0
hex313d8c92e46f

54140421203055 has 96 divisors (see below), whose sum is σ = 103828067066880. Its totient is φ = 25877303424000.

The previous prime is 54140421203047. The next prime is 54140421203087. The reversal of 54140421203055 is 55030212404145.

54140421203055 is a `hidden beast` number, since 5 + 4 + 1 + 404 + 212 + 0 + 30 + 5 + 5 = 666.

It is not a de Polignac number, because 54140421203055 - 23 = 54140421203047 is a prime.

It is a super-3 number, since 3×541404212030553 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334183111 + ... + 334345079.

It is an arithmetic number, because the mean of its divisors is an integer number (1081542365280).

Almost surely, 254140421203055 is an apocalyptic number.

54140421203055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54140421203055 is a deficient number, since it is larger than the sum of its proper divisors (49687645863825).

54140421203055 is a wasteful number, since it uses less digits than its factorization.

54140421203055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171573 (or 171570 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54140421203055 in words is "fifty-four trillion, one hundred forty billion, four hundred twenty-one million, two hundred three thousand, fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 165 213 355 495 639 781 1065 2343 3195 3905 7029 9511 11715 28533 35145 47555 85599 104621 142665 161969 313863 427995 485907 523105 675281 809845 941589 1457721 1569315 1781659 2025843 2429535 3376405 4707945 5344977 6077529 7288605 7428091 8908295 10129215 11499799 16034931 22284273 26724885 30387645 34499397 37140455 57498995 66852819 80174655 103498191 111421365 126497789 172496985 334264095 379493367 517490955 632488945 1138480101 1540487159 1897466835 4621461477 5692400505 7702435795 13864384431 16945358749 23107307385 50836076247 69321922155 84726793745 109374588289 152508228741 254180381235 328123764867 546872941445 762541143705 984371294601 1203120471179 1640618824335 3609361413537 4921856473005 6015602355895 10828084240611 18046807067685 54140421203055