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2142433024 = 28174112007
BaseRepresentation
bin111111110110010…
…1110111100000000
312112022100212121021
41333230232330000
513341430324044
6552331435224
7104043244264
oct17754567400
95468325537
102142433024
119aa390706
124b95b5b14
13281b26c64
141647740a4
15c8149e84
hex7fb2ef00

2142433024 has 72 divisors (see below), whose sum is σ = 4638882528. Its totient is φ = 983531520.

The previous prime is 2142433001. The next prime is 2142433061. The reversal of 2142433024 is 4203342412.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2142433024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172429 + ... + 184435.

It is an arithmetic number, because the mean of its divisors is an integer number (64428924).

Almost surely, 22142433024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319441264).

2142433024 is an abundant number, since it is smaller than the sum of its proper divisors (2496449504).

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

2142433024 is a wasteful number, since it uses less digits than its factorization.

2142433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2142433024 is about 46286.4237547037. The cubic root of 2142433024 is about 1289.1469279286.

Adding to 2142433024 its reverse (4203342412), we get a palindrome (6345775436).

The spelling of 2142433024 in words is "two billion, one hundred forty-two million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 328 544 656 697 1088 1312 1394 2176 2624 2788 4352 5248 5576 10496 11152 12007 22304 24014 44608 48028 89216 96056 178432 192112 204119 384224 408238 492287 768448 816476 984574 1536896 1632952 1969148 3073792 3265904 3938296 6531808 7876592 8368879 13063616 15753184 16737758 26127232 31506368 33475516 52254464 63012736 66951032 126025472 133902064 267804128 535608256 1071216512 2142433024