Search a number
-
+
424122140000 = 25541310971487
BaseRepresentation
bin1100010101111111010…
…01100100010101100000
31111112201210122001021102
412022333221210111200
523422100231440000
6522501121213532
742433066464536
oct6127751442540
91445653561242
10424122140000
11153961989199
126a2457912a8
1330cc1030670
1416755b14156
15b0744b43d5
hex62bfa64560

424122140000 has 240 divisors, whose sum is σ = 1125446591808. Its totient is φ = 156350976000.

The previous prime is 424122139981. The next prime is 424122140027. The reversal of 424122140000 is 41221424.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285219257 + ... + 285220743.

Almost surely, 2424122140000 is an apocalyptic number.

424122140000 is a gapful number since it is divisible by the number (40) 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 424122140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562723295904).

424122140000 is an abundant number, since it is smaller than the sum of its proper divisors (701324451808).

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

424122140000 is a wasteful number, since it uses less digits than its factorization.

424122140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 424122140000 its reverse (41221424), we get a palindrome (424163361424).

The spelling of 424122140000 in words is "four hundred twenty-four billion, one hundred twenty-two million, one hundred forty thousand".