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54113044031145 = 32511901312129067
BaseRepresentation
bin11000100110111001011001…
…10001000110011010101001
321002121011020002010202011100
430103130230301012122221
524043042003232444040
6311031104513152013
714253352451015121
oct1423345461063251
9232534202122140
1054113044031145
11162732386a4490
12609b578b5b609
132426ab8578468
14d5112a115c81
1563c9100a2b30
hex31372cc466a9

54113044031145 has 48 divisors (see below), whose sum is σ = 102334208139072. Its totient is φ = 26233714270080.

The previous prime is 54113044031141. The next prime is 54113044031147.

54113044031145 is a `hidden beast` number, since 5 + 4 + 1 + 130 + 4 + 403 + 114 + 5 = 666.

54113044031145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54113044031145 - 22 = 54113044031141 is a prime.

It is a super-2 number, since 2×541130440311452 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54113044031141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603099 + ... + 10525968.

It is an arithmetic number, because the mean of its divisors is an integer number (2131962669564).

Almost surely, 254113044031145 is an apocalyptic number.

54113044031145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54113044031145 is a deficient number, since it is larger than the sum of its proper divisors (48221164107927).

54113044031145 is a wasteful number, since it uses less digits than its factorization.

54113044031145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138102 (or 12138099 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 5411304 and 4031145, that added together give a palindrome (9442449).

The spelling of 54113044031145 in words is "fifty-four trillion, one hundred thirteen billion, forty-four million, thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 9013 27039 45065 81117 99143 135195 297429 405585 495715 892287 1487145 4461435 12129067 36387201 60645335 109161603 133419737 181936005 400259211 545808015 667098685 1200777633 2001296055 6003888165 109319280871 327957842613 546596404355 983873527839 1202512089581 1639789213065 3607536268743 4919367639195 6012560447905 10822608806229 18037681343715 54113044031145