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2423144010 = 2357291033863
BaseRepresentation
bin1001000001101110…
…0011111001001010
320020212120110200110
42100123203321022
514430311102020
61040240215150
7114022245540
oct22033437112
96225513613
102423144010
11103388aa61
1257760a4b6
132c8030131
1418db65d90
15e2ae88e0
hex906e3e4a

2423144010 has 128 divisors (see below), whose sum is σ = 6944071680. Its totient is φ = 529433856.

The previous prime is 2423143999. The next prime is 2423144029. The reversal of 2423144010 is 104413242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625339 + ... + 629201.

It is an arithmetic number, because the mean of its divisors is an integer number (54250560).

Almost surely, 22423144010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472035840).

2423144010 is an abundant number, since it is smaller than the sum of its proper divisors (4520927670).

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

2423144010 is a wasteful number, since it uses less digits than its factorization.

2423144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2423144010 is about 49225.4406785760. The cubic root of 2423144010 is about 1343.1558516712.

Adding to 2423144010 its reverse (104413242), we get a palindrome (2527557252).

The spelling of 2423144010 in words is "two billion, four hundred twenty-three million, one hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 103 105 145 174 203 206 210 290 309 406 435 515 609 618 721 870 1015 1030 1218 1442 1545 2030 2163 2987 3045 3090 3605 3863 4326 5974 6090 7210 7726 8961 10815 11589 14935 17922 19315 20909 21630 23178 27041 29870 38630 41818 44805 54082 57945 62727 81123 89610 104545 112027 115890 125454 135205 162246 209090 224054 270410 313635 336081 397889 405615 560135 627270 672162 784189 795778 811230 1120270 1193667 1568378 1680405 1989445 2352567 2387334 2785223 3360810 3920945 3978890 4705134 5570446 5968335 7841890 8355669 11538781 11762835 11936670 13926115 16711338 23077562 23525670 27852230 34616343 41778345 57693905 69232686 80771467 83556690 115387810 161542934 173081715 242314401 346163430 403857335 484628802 807714670 1211572005 2423144010