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4142154312 = 2332174497537
BaseRepresentation
bin1111011011100100…
…0100001001001000
3101200200012020111200
43312321010021020
531440342414222
61523004424200
7204434505432
oct36671041110
911620166450
104142154312
11183615792a
12977248060
135102044aa
142b4199652
151939a4eac
hexf6e44248

4142154312 has 96 divisors (see below), whose sum is σ = 11906271000. Its totient is φ = 1296433152.

The previous prime is 4142154287. The next prime is 4142154319. The reversal of 4142154312 is 2134512414.

4142154312 is a `hidden beast` number, since 4 + 14 + 215 + 431 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3938064516 + 204089796 = 62754^2 + 14286^2 .

It is not an unprimeable number, because it can be changed into a prime (4142154319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545808 + ... + 553344.

Almost surely, 24142154312 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 4142154312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953135500).

4142154312 is an abundant number, since it is smaller than the sum of its proper divisors (7764116688).

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

4142154312 is a wasteful number, since it uses less digits than its factorization.

4142154312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8008 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4142154312 is about 64359.5704771248. The cubic root of 4142154312 is about 1605.9872436665.

Adding to 4142154312 its reverse (2134512414), we get a palindrome (6276666726).

The spelling of 4142154312 in words is "four billion, one hundred forty-two million, one hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 449 612 898 1224 1347 1796 2694 3592 4041 5388 7537 7633 8082 10776 15074 15266 16164 22611 22899 30148 30532 32328 45222 45798 60296 61064 67833 68697 90444 91596 128129 135666 137394 180888 183192 256258 271332 274788 384387 512516 542664 549576 768774 1025032 1153161 1537548 2306322 3075096 3384113 4612644 6768226 9225288 10152339 13536452 20304678 27072904 30457017 40609356 57529921 60914034 81218712 115059842 121828068 172589763 230119684 243656136 345179526 460239368 517769289 690359052 1035538578 1380718104 2071077156 4142154312