Search a number
-
+
3120242420214 = 233377017692897
BaseRepresentation
bin101101011001111100111…
…100001110100111110110
3102001021220001121002222000
4231121330330032213312
5402110224024421324
610345230343520130
7441300341652003
oct55317474164766
912037801532860
103120242420214
11aa3318557787
12424882a59046
1319831200488a
14ab0405048aa
1556270b329c9
hex2d67cf0e9f6

3120242420214 has 128 divisors (see below), whose sum is σ = 7143171235200. Its totient is φ = 1008864460800.

The previous prime is 3120242420189. The next prime is 3120242420227. The reversal of 3120242420214 is 4120242420213.

It is a happy number.

3120242420214 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 2 + 424 + 20 + 214 = 666.

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

It is a congruent number.

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, 1077058414 + ... + 1077061310.

It is an arithmetic number, because the mean of its divisors is an integer number (55806025275).

Almost surely, 23120242420214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120242420214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571585617600).

3120242420214 is an abundant number, since it is smaller than the sum of its proper divisors (4022928814986).

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

3120242420214 is a wasteful number, since it uses less digits than its factorization.

3120242420214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3120242420214 its reverse (4120242420213), we get a palindrome (7240484840427).

Subtracting 3120242420214 from its reverse (4120242420213), we obtain a palindrome (999999999999).

The spelling of 3120242420214 in words is "three trillion, one hundred twenty billion, two hundred forty-two million, four hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 701 769 999 1402 1538 1998 2103 2307 2897 4206 4614 5794 6309 6921 8691 12618 13842 17382 18927 20763 25937 26073 28453 37854 41526 51874 52146 56906 77811 78219 85359 107189 155622 156438 170718 214378 233433 256077 321567 466866 512154 539069 643134 700299 768231 964701 1078138 1400598 1536462 1617207 1929402 2030797 2227793 2894103 3234414 4061594 4455586 4851621 5788206 6092391 6683379 9703242 12184782 13366758 14554863 18277173 19945553 20050137 29109726 36554346 39891106 40100274 54831519 59836659 60150411 75139489 82428341 109663038 119673318 120300822 150278978 164856682 179509977 225418467 247285023 359019954 450836934 494570046 538529931 676255401 741855069 1077059862 1352510802 1483710138 1561682893 2028766203 2225565207 3123365786 4057532406 4451130414 4685048679 9370097358 14055146037 28110292074 42165438111 57782267041 84330876222 115564534082 173346801123 346693602246 520040403369 1040080806738 1560121210107 3120242420214