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54444130400 = 2552116186833
BaseRepresentation
bin110010101101000111…
…111000000001100000
312012112022020101110002
4302231013320001200
51343000144133100
641002234355132
73635114321102
oct625507700140
9165468211402
1054444130400
11210a9323aa0
12a67528baa8
1351986b459a
1428c6a55572
151639ae92d5
hexcad1f8060

54444130400 has 72 divisors (see below), whose sum is σ = 144994641624. Its totient is φ = 19797862400.

The previous prime is 54444130399. The next prime is 54444130409. The reversal of 54444130400 is 403144445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54444130409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3084617 + ... + 3102216.

It is an arithmetic number, because the mean of its divisors is an integer number (2013814467).

Almost surely, 254444130400 is an apocalyptic number.

54444130400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54444130400 is an abundant number, since it is smaller than the sum of its proper divisors (90550511224).

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

54444130400 is a wasteful number, since it uses less digits than its factorization.

54444130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186864 (or 6186851 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 54444130400 its reverse (403144445), we get a palindrome (54847274845).

The spelling of 54444130400 in words is "fifty-four billion, four hundred forty-four million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 6186833 12373666 24747332 30934165 49494664 61868330 68055163 98989328 123736660 136110326 154670825 197978656 247473320 272220652 309341650 340275815 494946640 544441304 618683300 680551630 989893280 1088882608 1237366600 1361103260 1701379075 2177765216 2474733200 2722206520 3402758150 4949466400 5444413040 6805516300 10888826080 13611032600 27222065200 54444130400