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2142024030 = 2325157915073
BaseRepresentation
bin111111110101100…
…1011000101011110
312112021121002120100
41333223023011132
513341324232110
6552315001530
7104036622006
oct17753130536
95467532510
102142024030
119aa1313a3
124b94392a6
13281a12a53
141646a9006
15c80b8bc0
hex7facb15e

2142024030 has 48 divisors (see below), whose sum is σ = 5573159280. Its totient is φ = 570806784.

The previous prime is 2142024029. The next prime is 2142024043. The reversal of 2142024030 is 304202412.

2142024030 is a `hidden beast` number, since 2 + 1 + 420 + 240 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2142023994 and 2142024012.

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, 134574 + ... + 149646.

It is an arithmetic number, because the mean of its divisors is an integer number (116107485).

Almost surely, 22142024030 is an apocalyptic number.

2142024030 is an abundant number, since it is smaller than the sum of its proper divisors (3431135250).

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

2142024030 is a wasteful number, since it uses less digits than its factorization.

2142024030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2142024030 is about 46282.0054664877. The cubic root of 2142024030 is about 1289.0648892826.

Adding to 2142024030 its reverse (304202412), we get a palindrome (2446226442).

The spelling of 2142024030 in words is "two billion, one hundred forty-two million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1579 3158 4737 7895 9474 14211 15073 15790 23685 28422 30146 45219 47370 71055 75365 90438 135657 142110 150730 226095 271314 452190 678285 1356570 23800267 47600534 71400801 119001335 142801602 214202403 238002670 357004005 428404806 714008010 1071012015 2142024030