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4216142340 = 22375412351
BaseRepresentation
bin1111101101001101…
…0011101000000100
3101212211102020000000
43323103103220010
532113313023330
61534210321300
7206323422114
oct37323235004
911784366000
104216142340
1118739a2163
12997b89230
1352263b2a7
142bdd39044
1519a21c560
hexfb4d3a04

4216142340 has 192 divisors, whose sum is σ = 13608483840. Its totient is φ = 1096416000.

The previous prime is 4216142339. The next prime is 4216142347. The reversal of 4216142340 is 432416124.

It is a happy number.

4216142340 is a `hidden beast` number, since 4 + 2 + 1 + 614 + 2 + 3 + 40 = 666.

4216142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42161423402 = 35551712462281351200, which contains 22 as substring.

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 (4216142347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1792165 + ... + 1794515.

It is an arithmetic number, because the mean of its divisors is an integer number (70877520).

Almost surely, 24216142340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804241920).

4216142340 is an abundant number, since it is smaller than the sum of its proper divisors (9392341500).

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

4216142340 is a wasteful number, since it uses less digits than its factorization.

4216142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4216142340 is about 64931.8284048740. The cubic root of 4216142340 is about 1615.4930284225.

Adding to 4216142340 its reverse (432416124), we get a palindrome (4648558464).

The spelling of 4216142340 in words is "four billion, two hundred sixteen million, one hundred forty-two thousand, three hundred forty".