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4241430739392 = 2637211311322089
BaseRepresentation
bin111101101110001000111…
…110001111100111000000
3120000110212121020000101220
4331232020332033213000
51023442422232130032
613004253020355040
7615301415301600
oct75561076174700
916013777200356
104241430739392
111395865095560
125860266a5a80
13249c7171c302
14109401a22c00
15754e182e12c
hex3db88f8f9c0

4241430739392 has 336 divisors, whose sum is σ = 14700456207360. Its totient is φ = 1066131763200.

The previous prime is 4241430739373. The next prime is 4241430739477. The reversal of 4241430739392 is 2939370341424.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547084 + ... + 3869172.

It is an arithmetic number, because the mean of its divisors is an integer number (43751357760).

Almost surely, 24241430739392 is an apocalyptic number.

4241430739392 is a gapful number since it is divisible by the number (42) 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 4241430739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350228103680).

4241430739392 is an abundant number, since it is smaller than the sum of its proper divisors (10459025467968).

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

4241430739392 is a wasteful number, since it uses less digits than its factorization.

4241430739392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322160 (or 1322143 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 4241430739392 in words is "four trillion, two hundred forty-one billion, four hundred thirty million, seven hundred thirty-nine thousand, three hundred ninety-two".