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234145175040 = 2933572257269
BaseRepresentation
bin1101101000010000100…
…0111101011000000000
3211101100222110022001000
43122010020331120000
512314012131100130
6255321555412000
722626223102200
oct3320410753000
9741328408030
10234145175040
1190333935627
12394668b4000
131910640566a
14b492c70400
156155e4d260
hex368423d600

234145175040 has 960 divisors, whose sum is σ = 974866622400. Its totient is φ = 53112471552.

The previous prime is 234145175039. The next prime is 234145175041. The reversal of 234145175040 is 40571541432.

234145175040 is a `hidden beast` number, since 2 + 3 + 4 + 145 + 1 + 7 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234145175039) and next prime (234145175041).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234145174986 and 234145175004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234145175041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870428026 + ... + 870428294.

It is an arithmetic number, because the mean of its divisors is an integer number (1015486065).

Almost surely, 2234145175040 is an apocalyptic number.

234145175040 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 234145175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487433311200).

234145175040 is an abundant number, since it is smaller than the sum of its proper divisors (740721447360).

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

234145175040 is a wasteful number, since it uses less digits than its factorization.

234145175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 234145175040 in words is "two hundred thirty-four billion, one hundred forty-five million, one hundred seventy-five thousand, forty".