Search a number
-
+
104404310354625 = 3531967218705023
BaseRepresentation
bin10111101111010010000101…
…110101001110101011000001
3111200122221202220021022011120
4113233102011311032223001
5102141030011422322000
61010014402242502453
730663651065360061
oct2757220565165301
9450587686238146
10104404310354625
11302a268a420396
12b862308364a29
1346343905862b8
141bad2a49753a1
15c10be07a06a0
hex5ef485d4eac1

104404310354625 has 64 divisors (see below), whose sum is σ = 185601831567360. Its totient is φ = 51964313227200.

The previous prime is 104404310354623. The next prime is 104404310354629. The reversal of 104404310354625 is 526453013404401.

It is not a de Polignac number, because 104404310354625 - 21 = 104404310354623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104404310354621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108875137 + ... + 109829886.

It is an arithmetic number, because the mean of its divisors is an integer number (2900028618240).

Almost surely, 2104404310354625 is an apocalyptic number.

104404310354625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104404310354625 is a deficient number, since it is larger than the sum of its proper divisors (81197521212735).

104404310354625 is a wasteful number, since it uses less digits than its factorization.

104404310354625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218705127 (or 218705117 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 104404310354625 in words is "one hundred four trillion, four hundred four billion, three hundred ten million, three hundred fifty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 67 75 95 125 201 285 335 375 475 1005 1273 1425 1675 2375 3819 5025 6365 7125 8375 19095 25125 31825 95475 159125 477375 218705023 656115069 1093525115 3280575345 4155395437 5467625575 12466186311 14653236541 16402876725 20776977185 27338127875 43959709623 62330931555 73266182705 82014383625 103884885925 219798548115 278411494279 311654657775 366330913525 519424429625 835234482837 1098992740575 1392057471395 1558273288875 1831654567625 4176172414185 5494963702875 6960287356975 20880862070925 34801436784875 104404310354625