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425315645040 = 2435111383149309
BaseRepresentation
bin1100011000001101100…
…10011011011001110000
31111122210222102101101210
412030012302123121300
523432021301120130
6523215354200120
742504501222216
oct6140662333160
91448728371353
10425315645040
111544146591a0
126a519423040
133115138c770
141682a432cb6
15b0e416a5b0
hex6306c9b670

425315645040 has 320 divisors, whose sum is σ = 1567654663680. Its totient is φ = 94028206080.

The previous prime is 425315645009. The next prime is 425315645047. The reversal of 425315645040 is 40546513524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 425315645040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425315645047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2773906 + ... + 2923214.

It is an arithmetic number, because the mean of its divisors is an integer number (4898920824).

Almost surely, 2425315645040 is an apocalyptic number.

425315645040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425315645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783827331840).

425315645040 is an abundant number, since it is smaller than the sum of its proper divisors (1142339018640).

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

425315645040 is a wasteful number, since it uses less digits than its factorization.

425315645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149432 (or 149426 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 425315645040 in words is "four hundred twenty-five billion, three hundred fifteen million, six hundred forty-five thousand, forty".