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4142413414242 = 233235011665591
BaseRepresentation
bin111100010001111011000…
…101000111111101100010
3112200000021220122201122000
4330101323011013331202
51020332130313223432
612450555355424430
7605164603025415
oct74217305077542
915600256581560
104142413414242
11135787341a634
1256a9b1a55116
13240821691c9c
141046cb2bdb7c
1572b48a0257c
hex3c47b147f62

4142413414242 has 64 divisors (see below), whose sum is σ = 9607527659520. Its totient is φ = 1320503936400.

The previous prime is 4142413414241. The next prime is 4142413414427. The reversal of 4142413414242 is 2424143142414.

4142413414242 is a `hidden beast` number, since 41 + 424 + 13 + 4 + 142 + 42 = 666.

It is a super-3 number, since 3×41424134142423 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4142413414197 and 4142413414206.

It is not an unprimeable number, because it can be changed into a prime (4142413414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5890867 + ... + 6556457.

It is an arithmetic number, because the mean of its divisors is an integer number (150117619680).

Almost surely, 24142413414242 is an apocalyptic number.

4142413414242 is an abundant number, since it is smaller than the sum of its proper divisors (5465114245278).

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

4142413414242 is a wasteful number, since it uses less digits than its factorization.

4142413414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670636 (or 670630 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 4142413414242 its reverse (2424143142414), we get a palindrome (6566556556656).

The spelling of 4142413414242 in words is "four trillion, one hundred forty-two billion, four hundred thirteen million, four hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 5011 10022 15033 30066 45099 90198 115253 135297 230506 270594 345759 665591 691518 1037277 1331182 1996773 2074554 3111831 3993546 5990319 6223662 11980638 15308593 17970957 30617186 35941914 45925779 91851558 137777337 275554674 413332011 826664022 3335276501 6670553002 10005829503 20011659006 30017488509 60034977018 76711359523 90052465527 153422719046 180104931054 230134078569 460268157138 690402235707 1380804471414 2071206707121 4142413414242