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23142543500 = 2253594391787
BaseRepresentation
bin10101100011011001…
…110011000010001100
32012201211210000111202
4111203121303002030
5334343442343000
614344225005032
71446331242206
oct254331630214
965654700452
1023142543500
1198a63a950a
12459a483778
13224a77a12b
1411977d5776
15906ab9dd5
hex56367308c

23142543500 has 96 divisors (see below), whose sum is σ = 51545894400. Its totient is φ = 9074308800.

The previous prime is 23142543497. The next prime is 23142543503. The reversal of 23142543500 is 534524132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23142543497) and next prime (23142543503).

It is not an unprimeable number, because it can be changed into a prime (23142543503) 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, 12949607 + ... + 12951393.

It is an arithmetic number, because the mean of its divisors is an integer number (536936400).

Almost surely, 223142543500 is an apocalyptic number.

23142543500 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 23142543500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25772947200).

23142543500 is an abundant number, since it is smaller than the sum of its proper divisors (28403350900).

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

23142543500 is a wasteful number, since it uses less digits than its factorization.

23142543500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 23142543500 in words is "twenty-three billion, one hundred forty-two million, five hundred forty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 439 500 590 878 1180 1475 1756 1787 2195 2950 3574 4390 5900 7148 7375 8780 8935 10975 14750 17870 21950 25901 29500 35740 43900 44675 51802 54875 89350 103604 105433 109750 129505 178700 210866 219500 223375 259010 421732 446750 518020 527165 647525 784493 893500 1054330 1295050 1568986 2108660 2590100 2635825 3137972 3237625 3922465 5271650 6475250 7844930 10543300 12950500 13179125 15689860 19612325 26358250 39224650 46285087 52716500 78449300 92570174 98061625 185140348 196123250 231425435 392246500 462850870 925701740 1157127175 2314254350 4628508700 5785635875 11571271750 23142543500