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4201304031024 = 243747471170979
BaseRepresentation
bin111101001000110001001…
…110111111111100110000
3112212122022002202000200220
4331020301032333330300
51022313232312443044
612534015154013040
7612351142016622
oct75106116777460
915778262660626
104201304031024
11137a843663661
1257a2a8277180
132462483345a9
141074b66b0c12
1574443b69019
hex3d2313bff30

4201304031024 has 40 divisors (see below), whose sum is σ = 10853523216960. Its totient is φ = 1400414745408.

The previous prime is 4201304030993. The next prime is 4201304031077.

4201304031024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42013040310242 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4201304030985 and 4201304031003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3002367 + ... + 4173345.

It is an arithmetic number, because the mean of its divisors is an integer number (271338080424).

Almost surely, 24201304031024 is an apocalyptic number.

It is an amenable number.

4201304031024 is an abundant number, since it is smaller than the sum of its proper divisors (6652219185936).

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

4201304031024 is a wasteful number, since it uses less digits than its factorization.

4201304031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245737 (or 1245731 counting only the distinct ones).

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

The spelling of 4201304031024 in words is "four trillion, two hundred one billion, three hundred four million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 74747 149494 224241 298988 448482 597976 896964 1170979 1195952 1793928 2341958 3512937 3587856 4683916 7025874 9367832 14051748 18735664 28103496 56206992 87527167313 175054334626 262581501939 350108669252 525163003878 700217338504 1050326007756 1400434677008 2100652015512 4201304031024