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420041453440 = 27572139173557
BaseRepresentation
bin1100001110011000110…
…10111110111110000000
31111011012102002200200011
412013030122332332000
523340221103002230
6520544150034304
742230006305300
oct6071432767600
91434172080604
10420041453440
111521584a4a64
12694a7048994
13307c079b22b
1416489b99600
15add6101e2a
hex61cc6bef80

420041453440 has 384 divisors, whose sum is σ = 1185435064800. Its totient is φ = 141896466432.

The previous prime is 420041453437. The next prime is 420041453441. The reversal of 420041453440 is 44354140024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420041453441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754113642 + ... + 754114198.

Almost surely, 2420041453440 is an apocalyptic number.

420041453440 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 420041453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592717532400).

420041453440 is an abundant number, since it is smaller than the sum of its proper divisors (765393611360).

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

420041453440 is a wasteful number, since it uses less digits than its factorization.

420041453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 420041453440 its reverse (44354140024), we get a palindrome (464395593464).

The spelling of 420041453440 in words is "four hundred twenty billion, forty-one million, four hundred fifty-three thousand, four hundred forty".