Search a number
-
+
1134013242414 = 23131071027113229
BaseRepresentation
bin10000100000001000011…
…101001101110000101110
311000102002022222111201210
4100200020131031300232
5122034424342224124
62224543011215250
7144633622342413
oct20401035156056
94012068874653
101134013242414
113a7a28a03498
121639428a7526
1382c2474a410
143cc5a91210a
151e771ab8a29
hex1080874dc2e

1134013242414 has 64 divisors (see below), whose sum is σ = 2465743472640. Its totient is φ = 345606368640.

The previous prime is 1134013242377. The next prime is 1134013242421. The reversal of 1134013242414 is 4142423104311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85715152 + ... + 85728380.

It is an arithmetic number, because the mean of its divisors is an integer number (38527241760).

Almost surely, 21134013242414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134013242414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232871736320).

1134013242414 is an abundant number, since it is smaller than the sum of its proper divisors (1331730230226).

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

1134013242414 is a wasteful number, since it uses less digits than its factorization.

1134013242414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23625.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1134013242414 its reverse (4142423104311), we get a palindrome (5276436346725).

The spelling of 1134013242414 in words is "one trillion, one hundred thirty-four billion, thirteen million, two hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 8346 10271 13229 20542 26458 30813 39687 61626 79374 133523 171977 267046 343954 400569 515931 801138 1031862 1098997 1415503 2197994 2831006 3296991 4246509 6593982 8493018 14286961 18401539 28573922 36803078 42860883 55204617 85721766 110409234 135875059 271750118 407625177 815250354 1766375767 3532751534 5299127301 10598254602 14538631313 29077262626 43615893939 87231787878 189002207069 378004414138 567006621207 1134013242414