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341012554344144 = 24325694161938029
BaseRepresentation
bin100110110001001100010110…
…0001010100110011011010000
31122201102111000020111210012200
41031202120230022212123100
5324144122202403003034
63205135001010123200
7131554225665463224
oct11542305412463320
91581374006453180
10341012554344144
1199725680826011
12322b6626580500
1311838465c014c7
14602d14a836784
1529657bc062a99
hex136262c2a66d0

341012554344144 has 60 divisors (see below), whose sum is σ = 956038784871300. Its totient is φ = 113471078395392.

The previous prime is 341012554344053. The next prime is 341012554344181. The reversal of 341012554344144 is 441443455210143.

341012554344144 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 1 + 25 + 543 + 4 + 41 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232925591610000 + 108086962734144 = 15261900^2 + 10396488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 341012554344144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2080887079 + ... + 2081050950.

It is an arithmetic number, because the mean of its divisors is an integer number (15933979747855).

Almost surely, 2341012554344144 is an apocalyptic number.

It is an amenable number.

341012554344144 is an abundant number, since it is smaller than the sum of its proper divisors (615026230527156).

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

341012554344144 is a wasteful number, since it uses less digits than its factorization.

341012554344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161938612 (or 4161938603 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 341012554344144 in words is "three hundred forty-one trillion, twelve billion, five hundred fifty-four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 20484 27312 40968 81936 4161938029 8323876058 12485814087 16647752116 24971628174 33295504232 37457442261 49943256348 66591008464 74914884522 99886512696 149829769044 199773025392 299659538088 599319076176 2368142738501 4736285477002 7104428215503 9472570954004 14208856431006 18945141908008 21313284646509 28417712862012 37890283816016 42626569293018 56835425724024 85253138586036 113670851448048 170506277172072 341012554344144