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4153790253140 = 225112910911352859
BaseRepresentation
bin111100011100100001001…
…100010100100001010100
3112201002122210012000122122
4330130201030110201110
51021023430301100030
612500120324515112
7606046536410063
oct74344114244124
915632583160578
104153790253140
111361681344030
12571047b4ba98
132419156aba18
1410508a2461da
15730b26cc8e5
hex3c721314854

4153790253140 has 192 divisors, whose sum is σ = 10022509728000. Its totient is φ = 1432189624320.

The previous prime is 4153790253139. The next prime is 4153790253161. The reversal of 4153790253140 is 413520973514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4153790253091 and 4153790253100.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 78556031 + ... + 78608889.

It is an arithmetic number, because the mean of its divisors is an integer number (52200571500).

Almost surely, 24153790253140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153790253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011254864000).

4153790253140 is an abundant number, since it is smaller than the sum of its proper divisors (5868719474860).

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

4153790253140 is a wasteful number, since it uses less digits than its factorization.

4153790253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53130 (or 53128 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 4153790253140 in words is "four trillion, one hundred fifty-three billion, seven hundred ninety million, two hundred fifty-three thousand, one hundred forty".