Search a number
-
+
2400142128 = 24350002961
BaseRepresentation
bin1000111100001111…
…0100001100110000
320012021021212000220
42033003310030300
514403414022003
61034055213040
7113322604626
oct21703641460
96167255026
102400142128
1110218aa33a
1256b977180
132c3338557
1418aa99516
15e0aa3353
hex8f0f4330

2400142128 has 20 divisors (see below), whose sum is σ = 6200367288. Its totient is φ = 800047360.

The previous prime is 2400142097. The next prime is 2400142141. The reversal of 2400142128 is 8212410042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2400142098 and 2400142107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25001433 + ... + 25001528.

Almost surely, 22400142128 is an apocalyptic number.

It is an amenable number.

2400142128 is an abundant number, since it is smaller than the sum of its proper divisors (3800225160).

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

2400142128 is a wasteful number, since it uses less digits than its factorization.

2400142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50002972 (or 50002966 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2400142128 is about 48991.2454220139. The cubic root of 2400142128 is about 1338.8923288555.

The spelling of 2400142128 in words is "two billion, four hundred million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 50002961 100005922 150008883 200011844 300017766 400023688 600035532 800047376 1200071064 2400142128