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104223224443104 = 25321327837399691
BaseRepresentation
bin10111101100101001011100…
…010001010011000011100000
3111200000122100201011212100200
4113230221130101103003200
5102130043130424134404
61005355253251145200
730644610442462134
oct2754513421230340
9450018321155320
10104223224443104
1130232904116878
12b8331aaba5200
134620291984870
141ba46068673c4
15c0b142a95839
hex5eca5c4530e0

104223224443104 has 72 divisors (see below), whose sum is σ = 319183624868472. Its totient is φ = 32068684442880.

The previous prime is 104223224442971. The next prime is 104223224443109. The reversal of 104223224443104 is 401344422322401.

104223224443104 is a `hidden beast` number, since 1 + 0 + 42 + 232 + 244 + 43 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104223224443109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13918696102 + ... + 13918703589.

It is an arithmetic number, because the mean of its divisors is an integer number (4433105900951).

Almost surely, 2104223224443104 is an apocalyptic number.

It is an amenable number.

104223224443104 is an abundant number, since it is smaller than the sum of its proper divisors (214960400425368).

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

104223224443104 is a wasteful number, since it uses less digits than its factorization.

104223224443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27837399720 (or 27837399709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 104223224443104 its reverse (401344422322401), we get a palindrome (505567646765505).

The spelling of 104223224443104 in words is "one hundred four trillion, two hundred twenty-three billion, two hundred twenty-four million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 27837399691 55674799382 83512199073 111349598764 167024398146 222699197528 250536597219 334048796292 361886195983 445398395056 501073194438 668097592584 723772391966 890796790112 1002146388876 1085658587949 1336195185168 1447544783932 2004292777752 2171317175898 2672390370336 2895089567864 3256975763847 4008585555504 4342634351796 5790179135728 6513951527694 8017171111008 8685268703592 11580358271456 13027903055388 17370537407184 26055806110776 34741074814368 52111612221552 104223224443104