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2294343404640 = 253257477168209
BaseRepresentation
bin100001011000110001100…
…001100000110001100000
322010100002201220001122100
4201120301201200301200
5300042303402422030
64514001245410400
7324521653106640
oct41306141406140
98110081801570
102294343404640
11805031047291
123107aab69a00
131384814b1421
147d092654520
153ea33c88360
hex21631860c60

2294343404640 has 576 divisors, whose sum is σ = 9267165573120. Its totient is φ = 506026967040.

The previous prime is 2294343404623. The next prime is 2294343404657. The reversal of 2294343404640 is 464043434922.

2294343404640 is a `hidden beast` number, since 22 + 94 + 3 + 43 + 40 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2294343404623) and next prime (2294343404657).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33602856 + ... + 33671064.

It is an arithmetic number, because the mean of its divisors is an integer number (16088829120).

Almost surely, 22294343404640 is an apocalyptic number.

2294343404640 is a gapful number since it is divisible by the number (20) 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 2294343404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633582786560).

2294343404640 is an abundant number, since it is smaller than the sum of its proper divisors (6972822168480).

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

2294343404640 is a wasteful number, since it uses less digits than its factorization.

2294343404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68355 (or 68344 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 2294343404640 in words is "two trillion, two hundred ninety-four billion, three hundred forty-three million, four hundred four thousand, six hundred forty".