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4297439240640 = 263457132269521
BaseRepresentation
bin111110100010010011010…
…101101110000111000000
3120012211102221002200020000
4332202103111232013000
51030402123421200030
613050114421120000
7622323356560650
oct76422325560700
916184387080200
104297439240640
111407596465517
12594a57859000
13252329243400
1410bdd6336360
1576bbd93a860
hex3e89356e1c0

4297439240640 has 1680 divisors, whose sum is σ = 19024606624320. Its totient is φ = 901607915520.

The previous prime is 4297439240617. The next prime is 4297439240669. The reversal of 4297439240640 is 460429347924.

4297439240640 is a `hidden beast` number, since 42 + 9 + 74 + 3 + 92 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8248443580 + ... + 8248444100.

Almost surely, 24297439240640 is an apocalyptic number.

4297439240640 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 4297439240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512303312160).

4297439240640 is an abundant number, since it is smaller than the sum of its proper divisors (14727167383680).

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

4297439240640 is a wasteful number, since it uses less digits than its factorization.

4297439240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4297439240640 in words is "four trillion, two hundred ninety-seven billion, four hundred thirty-nine million, two hundred forty thousand, six hundred forty".