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14240101402120 = 2351132363866823
BaseRepresentation
bin1100111100111000100000…
…1011111000011000001000
31212102100012011001221022111
43033032020023320120020
53331302211424331440
650141451241232104
72666545662530266
oct317161013703010
955370164057274
1014240101402120
1145a0214003830
12171b9b1192634
137c3ab333a419
14373320395436
1519a63ebd94ea
hexcf3882f8608

14240101402120 has 32 divisors (see below), whose sum is σ = 34952976169920. Its totient is φ = 5178218691520.

The previous prime is 14240101402117. The next prime is 14240101402123. The reversal of 14240101402120 is 2120410104241.

It is an interprime number because it is at equal distance from previous prime (14240101402117) and next prime (14240101402123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14240101402091 and 14240101402100.

It is not an unprimeable number, because it can be changed into a prime (14240101402123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16181932972 + ... + 16181933851.

It is an arithmetic number, because the mean of its divisors is an integer number (1092280505310).

Almost surely, 214240101402120 is an apocalyptic number.

14240101402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240101402120 is an abundant number, since it is smaller than the sum of its proper divisors (20712874767800).

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

14240101402120 is a wasteful number, since it uses less digits than its factorization.

14240101402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32363866845 (or 32363866841 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 14240101402120 its reverse (2120410104241), we get a palindrome (16360511506361).

The spelling of 14240101402120 in words is "fourteen trillion, two hundred forty billion, one hundred one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 32363866823 64727733646 129455467292 161819334115 258910934584 323638668230 356002535053 647277336460 712005070106 1294554672920 1424010140212 1780012675265 2848020280424 3560025350530 7120050701060 14240101402120