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104202400434 = 231143127289109
BaseRepresentation
bin110000100001011110…
…0100111001010110010
3100221222001012101220020
41201002330213022302
53201401303303214
6115511523024310
710346142534546
oct1410274471262
9327861171806
10104202400434
11402125a1810
121824120b096
139a98348c12
14508721da26
152a9d1404a9
hex1842f272b2

104202400434 has 64 divisors (see below), whose sum is σ = 234470522880. Its totient is φ = 30599190720.

The previous prime is 104202400333. The next prime is 104202400457. The reversal of 104202400434 is 434004202401.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215872 + ... + 504980.

It is an arithmetic number, because the mean of its divisors is an integer number (3663601920).

Almost surely, 2104202400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104202400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117235261440).

104202400434 is an abundant number, since it is smaller than the sum of its proper divisors (130268122446).

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

104202400434 is a wasteful number, since it uses less digits than its factorization.

104202400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289295.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 104202400434 its reverse (434004202401), we get a palindrome (538206602835).

The spelling of 104202400434 in words is "one hundred four billion, two hundred two million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 127 129 254 258 381 473 762 946 1397 1419 2794 2838 4191 5461 8382 10922 16383 32766 60071 120142 180213 289109 360426 578218 867327 1734654 3180199 6360398 9540597 12431687 19081194 24863374 36716843 37295061 73433686 74590122 110150529 136748557 220301058 273497114 403885273 410245671 807770546 820491342 1211655819 1578824249 2423311638 3157648498 4736472747 9472945494 17367066739 34734133478 52101200217 104202400434