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54144435709441 = 7111377696674461
BaseRepresentation
bin11000100111110011110111…
…10110110110011000000001
321002201011020211010020021001
430103321323312312120001
524044100301020200231
6311053335501532001
714255543406620110
oct1423717366663001
9232634224106231
1054144435709441
1116285587462a70
1260a5679b74001
132429a4c06732c
14d52867307c77
1563d64ae7ab61
hex313e7bdb6601

54144435709441 has 32 divisors (see below), whose sum is σ = 68085919883520. Its totient is φ = 41828039884800.

The previous prime is 54144435709421. The next prime is 54144435709451. The reversal of 54144435709441 is 14490753444145.

It is a cyclic number.

It is not a de Polignac number, because 54144435709441 - 215 = 54144435676673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54144435709421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4774951 + ... + 11449411.

It is an arithmetic number, because the mean of its divisors is an integer number (2127684996360).

Almost surely, 254144435709441 is an apocalyptic number.

It is an amenable number.

54144435709441 is a deficient number, since it is larger than the sum of its proper divisors (13941484174079).

54144435709441 is a wasteful number, since it uses less digits than its factorization.

54144435709441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675385.

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 54144435709441 in words is "fifty-four trillion, one hundred forty-four billion, four hundred thirty-five million, seven hundred nine thousand, four hundred forty-one".

Divisors: 1 7 11 77 137 769 959 1507 5383 8459 10549 59213 105353 737471 1158883 6674461 8112181 46721227 73419071 513933497 914401157 5132660509 6400808099 10058412727 35928623563 56459265599 70408889089 395214859193 703174489733 4922221428131 7734919387063 54144435709441