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4341142080 = 263351145677
BaseRepresentation
bin1000000101100000…
…01001001001000000
3102012112121212102000
410002300021021000
532342313021310
61554433424000
7212402045622
oct40260111100
912175555360
104341142080
111928509330
12a11a0b000
135424c5b32
142d2796c12
151a61ae4c0
hex102c09240

4341142080 has 224 divisors, whose sum is σ = 16707185280. Its totient is φ = 1052375040.

The previous prime is 4341142051. The next prime is 4341142087. The reversal of 4341142080 is 802411434.

4341142080 is a `hidden beast` number, since 43 + 411 + 4 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4341142087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72202 + ... + 117878.

Almost surely, 24341142080 is an apocalyptic number.

4341142080 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 4341142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353592640).

4341142080 is an abundant number, since it is smaller than the sum of its proper divisors (12366043200).

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

4341142080 is a wasteful number, since it uses less digits than its factorization.

4341142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45714 (or 45698 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4341142080 is about 65887.3438529738. The cubic root of 4341142080 is about 1631.3031194223.

It can be divided in two parts, 43411 and 42080, that added together give a triangular number (85491 = T413).

The spelling of 4341142080 in words is "four billion, three hundred forty-one million, one hundred forty-two thousand, eighty".