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4142323530 = 2335173724391
BaseRepresentation
bin1111011011100110…
…1101011101001010
3101200200111211122000
43312321231131022
531440413323110
61523012211430
7204436111662
oct36671553512
911620454560
104142323530
111836262a84
12977309b76
13510263517
142b42011a2
151939da1c0
hexf6e6d74a

4142323530 has 128 divisors (see below), whose sum is σ = 12012572160. Its totient is φ = 1011502080.

The previous prime is 4142323501. The next prime is 4142323553. The reversal of 4142323530 is 353232414.

4142323530 is a `hidden beast` number, since 4 + 1 + 423 + 235 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4142323494 and 4142323503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157635 + ... + 182025.

It is an arithmetic number, because the mean of its divisors is an integer number (93848220).

Almost surely, 24142323530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142323530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006286080).

4142323530 is an abundant number, since it is smaller than the sum of its proper divisors (7870248630).

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

4142323530 is a wasteful number, since it uses less digits than its factorization.

4142323530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24461 (or 24455 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4142323530 is about 64360.8850933546. The cubic root of 4142323530 is about 1606.0091129828.

Adding to 4142323530 its reverse (353232414), we get a palindrome (4495555944).

The spelling of 4142323530 in words is "four billion, one hundred forty-two million, three hundred twenty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 54 74 85 90 102 111 135 153 170 185 222 255 270 306 333 370 459 510 555 629 666 765 918 999 1110 1258 1530 1665 1887 1998 2295 3145 3330 3774 4590 4995 5661 6290 9435 9990 11322 16983 18870 24391 28305 33966 48782 56610 73173 84915 121955 146346 169830 219519 243910 365865 414647 439038 658557 731730 829294 902467 1097595 1243941 1317114 1804934 2073235 2195190 2487882 2707401 3292785 3731823 4146470 4512335 5414802 6219705 6585570 7463646 8122203 9024670 11195469 12439410 13537005 15341939 16244406 18659115 22390938 24366609 27074010 30683878 37318230 40611015 46025817 48733218 55977345 76709695 81222030 92051634 111954690 121833045 138077451 153419390 230129085 243666090 276154902 414232353 460258170 690387255 828464706 1380774510 2071161765 4142323530