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2442143000 = 235311220183
BaseRepresentation
bin1001000110010000…
…0010010100011000
320022012022201101202
42101210002110120
520000142034000
61042155333332
7114342605303
oct22144022430
96265281352
102442143000
111043587200
12581a51248
132cbc52a3b
141924adb3a
15e45ecdd5
hex91902518

2442143000 has 96 divisors (see below), whose sum is σ = 6281664480. Its totient is φ = 888008000.

The previous prime is 2442142943. The next prime is 2442143021. The reversal of 2442143000 is 3412442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110909 + ... + 131091.

It is an arithmetic number, because the mean of its divisors is an integer number (65434005).

Almost surely, 22442143000 is an apocalyptic number.

2442143000 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 2442143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140832240).

2442143000 is an abundant number, since it is smaller than the sum of its proper divisors (3839521480).

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

2442143000 is a wasteful number, since it uses less digits than its factorization.

2442143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20226 (or 20201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2442143000 is about 49418.0432635692. The cubic root of 2442143000 is about 1346.6571155201.

Adding to 2442143000 its reverse (3412442), we get a palindrome (2445555442).

The spelling of 2442143000 in words is "two billion, four hundred forty-two million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 20183 24200 30250 40366 60500 80732 100915 121000 161464 201830 222013 403660 444026 504575 807320 888052 1009150 1110065 1776104 2018300 2220130 2442143 2522875 4036600 4440260 4884286 5045750 5550325 8880520 9768572 10091500 11100650 12210715 19537144 20183000 22201300 24421430 27751625 44402600 48842860 55503250 61053575 97685720 111006500 122107150 222013000 244214300 305267875 488428600 610535750 1221071500 2442143000