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4022313102240 = 25358379818963
BaseRepresentation
bin111010100010000100100…
…010110010101110100000
3112020112021220201201221020
4322202010202302232200
51011400144123232430
612315454121125440
7563413445151246
oct72420442625640
915215256651836
104022313102240
111310942980634
1254b674629880
132323c1785104
14dc976904796
156e969d34b10
hex3a8848b2ba0

4022313102240 has 48 divisors (see below), whose sum is σ = 12670286273568. Its totient is φ = 1072616827136.

The previous prime is 4022313102209. The next prime is 4022313102277. The reversal of 4022313102240 is 422013132204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4022313102240.

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 7 ways as a sum of consecutive naturals, for example, 4189909002 + ... + 4189909961.

It is an arithmetic number, because the mean of its divisors is an integer number (263964297366).

Almost surely, 24022313102240 is an apocalyptic number.

4022313102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022313102240 is an abundant number, since it is smaller than the sum of its proper divisors (8647973171328).

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

4022313102240 is a wasteful number, since it uses less digits than its factorization.

4022313102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379818981 (or 8379818973 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4022313102240 its reverse (422013132204), we get a palindrome (4444326234444).

The spelling of 4022313102240 in words is "four trillion, twenty-two billion, three hundred thirteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8379818963 16759637926 25139456889 33519275852 41899094815 50278913778 67038551704 83798189630 100557827556 125697284445 134077103408 167596379260 201115655112 251394568890 268154206816 335192758520 402231310224 502789137780 670385517040 804462620448 1005578275560 1340771034080 2011156551120 4022313102240