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23141442340 = 2253172751341
BaseRepresentation
bin10101100011010101…
…100110001100100100
32012201202201002000001
4111203111212030210
5334343202123330
614344145231044
71446316004632
oct254325461444
965652632001
1023141442340
1198a5817165
12459a032484
13224a482b63
1411975ca352
1590694d9ca
hex563566324

23141442340 has 48 divisors (see below), whose sum is σ = 50234655744. Its totient is φ = 8945481600.

The previous prime is 23141442299. The next prime is 23141442419. The reversal of 23141442340 is 4324414132.

It is a junction number, because it is equal to n+sod(n) for n = 23141442299 and 23141442308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425070 + ... + 476410.

It is an arithmetic number, because the mean of its divisors is an integer number (1046555328).

Almost surely, 223141442340 is an apocalyptic number.

23141442340 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 23141442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117327872).

23141442340 is an abundant number, since it is smaller than the sum of its proper divisors (27093213404).

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

23141442340 is a wasteful number, since it uses less digits than its factorization.

23141442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52108 (or 52106 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23141442340 its reverse (4324414132), we get a palindrome (27465856472).

It can be divided in two parts, 2314144 and 2340, that added together give a square (2316484 = 15222).

The spelling of 23141442340 in words is "twenty-three billion, one hundred forty-one million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 727 1454 2908 3635 7270 14540 22537 45074 51341 90148 102682 112685 205364 225370 256705 450740 513410 1026820 1591571 3183142 6366284 7957855 15915710 31831420 37324907 74649814 149299628 186624535 373249070 746498140 1157072117 2314144234 4628288468 5785360585 11570721170 23141442340