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394213765140 = 2233513436179271
BaseRepresentation
bin1011011110010001111…
…10001011000000010100
31101200112102202011222000
411233020332023000110
522424322210441030
6501033241035300
740323661500426
oct5571076130024
91350472664860
10394213765140
11142204436518
1264499485b30
132b235939130
141511991a816
15a3c3938860
hex5bc8f8b014

394213765140 has 768 divisors, whose sum is σ = 1396177305600. Its totient is φ = 91707033600.

The previous prime is 394213765129. The next prime is 394213765147. The reversal of 394213765140 is 41567312493.

394213765140 is a `hidden beast` number, since 394 + 213 + 7 + 6 + 5 + 1 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394213765147) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1454663205 + ... + 1454663475.

It is an arithmetic number, because the mean of its divisors is an integer number (1817939200).

Almost surely, 2394213765140 is an apocalyptic number.

394213765140 is a gapful number since it is divisible by the number (30) 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 394213765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698088652800).

394213765140 is an abundant number, since it is smaller than the sum of its proper divisors (1001963540460).

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

394213765140 is a wasteful number, since it uses less digits than its factorization.

394213765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 394213765140 in words is "three hundred ninety-four billion, two hundred thirteen million, seven hundred sixty-five thousand, one hundred forty".