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54440434404 = 223237130731271
BaseRepresentation
bin110010101100111001…
…110001101011100100
312012112001021121111100
4302230321301223210
51342443222400104
641002023240100
73635041025436
oct625471615344
9165461247440
1054440434404
11210a722a154
12a673ba9030
1351979bc1c5
1428c6372656
151639619139
hexcace71ae4

54440434404 has 72 divisors (see below), whose sum is σ = 141445257408. Its totient is φ = 17642283840.

The previous prime is 54440434397. The next prime is 54440434423. The reversal of 54440434404 is 40443404445.

54440434404 is a `hidden beast` number, since 544 + 40 + 4 + 34 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725289 + ... + 1756559.

It is an arithmetic number, because the mean of its divisors is an integer number (1964517464).

Almost surely, 254440434404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54440434404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70722628704).

54440434404 is an abundant number, since it is smaller than the sum of its proper divisors (87004823004).

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

54440434404 is a wasteful number, since it uses less digits than its factorization.

54440434404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32625 (or 32620 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 54440434404 its reverse (40443404445), we get a palindrome (94883838849).

The spelling of 54440434404 in words is "fifty-four billion, four hundred forty million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1307 1332 2614 3921 5228 7842 11763 15684 23526 31271 47052 48359 62542 93813 96718 125084 145077 187626 193436 281439 290154 375252 435231 562878 580308 870462 1125756 1157027 1740924 2314054 3471081 4628108 6942162 10413243 13884324 20826486 40871197 41652972 81742394 122613591 163484788 245227182 367840773 490454364 735681546 1471363092 1512234289 3024468578 4536702867 6048937156 9073405734 13610108601 18146811468 27220217202 54440434404