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23240430414 = 2341722393769
BaseRepresentation
bin10101101001001111…
…001101001101001110
32012222122222012010000
4111221033031031032
5340044022233124
614402043025130
71451630253615
oct255117151516
965878865100
1023240430414
119946687393
12460720b1a6
132264b30b96
1411a67d687c
159104a36c9
hex5693cd34e

23240430414 has 80 divisors (see below), whose sum is σ = 55178323200. Its totient is φ = 7285925376.

The previous prime is 23240430349. The next prime is 23240430427. The reversal of 23240430414 is 41403404232.

It is a happy number.

23240430414 is a `hidden beast` number, since 2 + 3 + 240 + 4 + 3 + 0 + 414 = 666.

It is a super-2 number, since 2×232404304142 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6164322 + ... + 6168090.

It is an arithmetic number, because the mean of its divisors is an integer number (689729040).

Almost surely, 223240430414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240430414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27589161600).

23240430414 is an abundant number, since it is smaller than the sum of its proper divisors (31937892786).

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

23240430414 is a wasteful number, since it uses less digits than its factorization.

23240430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23240430414 its reverse (41403404232), we get a palindrome (64643834646).

The spelling of 23240430414 in words is "twenty-three billion, two hundred forty million, four hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2239 2754 3769 4478 6717 7538 11307 13434 20151 22614 33921 38063 40302 60453 64073 67842 76126 101763 114189 120906 128146 181359 192219 203526 228378 305289 342567 362718 384438 576657 610578 685134 1027701 1153314 1729971 2055402 3083103 3459942 5189913 6166206 8438791 10379826 16877582 25316373 50632746 75949119 143459447 151898238 227847357 286918894 430378341 455694714 683542071 860756682 1291135023 1367084142 2582270046 3873405069 7746810138 11620215207 23240430414