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4120404423444 = 2232313979300047
BaseRepresentation
bin111011111101011011001…
…111011111001100010100
3112120220111001212011002200
4323331123033133030110
51020002042013022234
612432515422404500
7603455314502451
oct73753317371424
915526431764080
104120404423444
1113494a9973041
1256668b130730
1323b724a128ca
1410360027c828
15722ab6e9d99
hex3bf5b3df314

4120404423444 has 72 divisors (see below), whose sum is σ = 10778532430848. Its totient is φ = 1325814557760.

The previous prime is 4120404423427. The next prime is 4120404423451. The reversal of 4120404423444 is 4443244040214.

It is a happy number.

4120404423444 is a `hidden beast` number, since 4 + 1 + 204 + 0 + 4 + 4 + 2 + 3 + 444 = 666.

It is a super-2 number, since 2×41204044234442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4120404423399 and 4120404423408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206972 + ... + 5093075.

Almost surely, 24120404423444 is an apocalyptic number.

It is an amenable number.

4120404423444 is an abundant number, since it is smaller than the sum of its proper divisors (6658128007404).

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

4120404423444 is a wasteful number, since it uses less digits than its factorization.

4120404423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300485 (or 9300480 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4120404423444 its reverse (4443244040214), we get a palindrome (8563648463658).

The spelling of 4120404423444 in words is "four trillion, one hundred twenty billion, four hundred four million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 397 558 794 1116 1191 1588 2382 3573 4764 7146 12307 14292 24614 36921 49228 73842 110763 147684 221526 443052 9300047 18600094 27900141 37200188 55800282 83700423 111600564 167400846 288301457 334801692 576602914 864904371 1153205828 1729808742 2594713113 3459617484 3692118659 5189426226 7384237318 10378852452 11076355977 14768474636 22152711954 33229067931 44305423908 66458135862 114455678429 132916271724 228911356858 343367035287 457822713716 686734070574 1030101105861 1373468141148 2060202211722 4120404423444