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54440233204445 = 511171012441236167
BaseRepresentation
bin11000110000011010110101…
…10000101111101011011101
321010202102202110021212220222
430120031122300233223131
524113422044200020240
6311441255312451125
714316114505056344
oct1430153260575335
9233672673255828
1054440233204445
1116389a78432040
126132a6bb49aa5
13244b8cc320c9a
14d62cc8260b5b
156461ae712eb5
hex31835ac2fadd

54440233204445 has 64 divisors (see below), whose sum is σ = 76238068465152. Its totient is φ = 36879682560000.

The previous prime is 54440233204429. The next prime is 54440233204459.

54440233204445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54440233204445 - 24 = 54440233204429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54440233204396 and 54440233204405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230397752 + ... + 230633918.

It is an arithmetic number, because the mean of its divisors is an integer number (1191219819768).

Almost surely, 254440233204445 is an apocalyptic number.

54440233204445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54440233204445 is a deficient number, since it is larger than the sum of its proper divisors (21797835260707).

54440233204445 is a wasteful number, since it uses less digits than its factorization.

54440233204445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238742.

The product of its (nonzero) digits is 3686400, while the sum is 44.

It can be divided in two parts, 5444023 and 3204445, that added together give a palindrome (8648468).

The spelling of 54440233204445 in words is "fifty-four trillion, four hundred forty billion, two hundred thirty-three million, two hundred four thousand, four hundred forty-five".

Divisors: 1 5 11 17 55 85 101 187 505 935 1111 1717 2441 5555 8585 12205 18887 26851 41497 94435 134255 207485 236167 246541 456467 1180835 1232705 2282335 2597837 2711951 4014839 4191197 12989185 13559755 20074195 20955985 23852867 44163229 46103167 119264335 220816145 230515835 262381537 405498739 576483647 1311907685 2027493695 2882418235 4460486129 6341320117 9800221999 22302430645 31706600585 49001109995 58224848347 107802441989 291124241735 539012209945 640473331817 989822421899 3202366659085 4949112109495 10888046640889 54440233204445