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4120404423424 = 28412437161087
BaseRepresentation
bin111011111101011011001…
…111011111001100000000
3112120220111001212011001221
4323331123033133030000
51020002042013022144
612432515422404424
7603455314502422
oct73753317371400
915526431764057
104120404423424
1113494a9973023
1256668b130714
1323b724a128b3
1410360027c812
15722ab6e9d84
hex3bf5b3df300

4120404423424 has 72 divisors (see below), whose sum is σ = 8428825859328. Its totient is φ = 2009116139520.

The previous prime is 4120404423419. The next prime is 4120404423427. The reversal of 4120404423424 is 4243244040214.

It is a super-2 number, since 2×41204044234242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4120404423424.

It is not an unprimeable number, because it can be changed into a prime (4120404423427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25498209 + ... + 25659295.

It is an arithmetic number, because the mean of its divisors is an integer number (117067025824).

Almost surely, 24120404423424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120404423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214412929664).

4120404423424 is an abundant number, since it is smaller than the sum of its proper divisors (4308421435904).

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

4120404423424 is a wasteful number, since it uses less digits than its factorization.

4120404423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163581 (or 163567 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 4120404423424 its reverse (4243244040214), we get a palindrome (8363648463638).

The spelling of 4120404423424 in words is "four trillion, one hundred twenty billion, four hundred four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2437 2624 4874 5248 9748 10496 19496 38992 77984 99917 155968 161087 199834 311936 322174 399668 623872 644348 799336 1288696 1598672 2577392 3197344 5154784 6394688 6604567 10309568 12789376 13209134 20619136 25578752 26418268 41238272 52836536 105673072 211346144 392569019 422692288 785138038 845384576 1570276076 1690769152 3140552152 6281104304 12562208608 16095329779 25124417216 32190659558 50248834432 64381319116 100497668864 128762638232 257525276464 515050552928 1030101105856 2060202211712 4120404423424