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4132204103440 = 24577378935899
BaseRepresentation
bin111100001000011010100…
…011101100011100010000
3112122000221102001000001201
4330020122203230130100
51020200223222302230
612442150334440544
7604353604230040
oct74103243543420
915560842030051
104132204103440
111353504543296
12568a22963154
1323c88550a58a
14103ddd433720
157274c59b5ca
hex3c21a8ec710

4132204103440 has 40 divisors (see below), whose sum is σ = 10979856619200. Its totient is φ = 1416755692416.

The previous prime is 4132204103413. The next prime is 4132204103441. The reversal of 4132204103440 is 443014022314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×41322041034402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4132204103399 and 4132204103408.

It is not an unprimeable number, because it can be changed into a prime (4132204103441) 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, 3689467390 + ... + 3689468509.

It is an arithmetic number, because the mean of its divisors is an integer number (274496415480).

Almost surely, 24132204103440 is an apocalyptic number.

4132204103440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132204103440 is an abundant number, since it is smaller than the sum of its proper divisors (6847652515760).

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

4132204103440 is a wasteful number, since it uses less digits than its factorization.

4132204103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378935919 (or 7378935913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4132204103440 its reverse (443014022314), we get a palindrome (4575218125754).

The spelling of 4132204103440 in words is "four trillion, one hundred thirty-two billion, two hundred four million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7378935899 14757871798 29515743596 36894679495 51652551293 59031487192 73789358990 103305102586 118062974384 147578717980 206610205172 258262756465 295157435960 413220410344 516525512930 590314871920 826440820688 1033051025860 2066102051720 4132204103440