Search a number
-
+
244706427446325 = 352133134072376331
BaseRepresentation
bin110111101000111100100111…
…101011101010010000110101
31012002102201001200010021100120
4313220330213223222100311
5224033232230411240300
62224240325243402153
7102354312251532525
oct6750744753522065
91162381050107316
10244706427446325
1170a7545a8a0199
12235418b3523359
13a6709425b8b80
14445dbd621d685
151d4559823c3a0
hexde8f27aea435

244706427446325 has 96 divisors (see below), whose sum is σ = 449890063859712. Its totient is φ = 116550431712000.

The previous prime is 244706427446321. The next prime is 244706427446389. The reversal of 244706427446325 is 523644724607442.

It is not a de Polignac number, because 244706427446325 - 22 = 244706427446321 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244706427446321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101788410 + ... + 104164740.

It is an arithmetic number, because the mean of its divisors is an integer number (4686354831872).

Almost surely, 2244706427446325 is an apocalyptic number.

244706427446325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

244706427446325 is a deficient number, since it is larger than the sum of its proper divisors (205183636413387).

244706427446325 is a wasteful number, since it uses less digits than its factorization.

244706427446325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379795 (or 2379790 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 60.

The spelling of 244706427446325 in words is "two hundred forty-four trillion, seven hundred six billion, four hundred twenty-seven million, four hundred forty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 31 39 65 75 93 155 195 325 403 465 775 975 1209 2015 2325 3407 6045 10075 10221 17035 30225 44291 51105 85175 105617 132873 221455 255525 316851 528085 664365 1107275 1373021 1584255 2376331 2640425 3321825 4119063 6865105 7128993 7921275 11881655 20595315 30892303 34325525 35644965 59408275 73666261 92676909 102976575 154461515 178224825 220998783 368331305 463384545 772307575 957661393 1104993915 1841656525 2316922725 2872984179 4788306965 5524969575 8096159717 14364920895 23941534825 24288479151 40480798585 71824604475 105250076321 121442395755 202403992925 250980951227 315750228963 526250381605 607211978775 752942853681 1254904756135 1578751144815 2631251908025 3262752365951 3764714268405 6274523780675 7893755724075 9788257097853 16313761829755 18823571342025 48941285489265 81568809148775 244706427446325