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4127102442 = 2341910911229
BaseRepresentation
bin1111010111111110…
…1001010111101010
3101122121212112020000
43311333221113222
531423014234232
61521310043430
7204162535431
oct36577512752
911577775200
104127102442
111828707171
129721a9576
1350a064368
142b219c118
151924d027c
hexf5fe95ea

4127102442 has 80 divisors (see below), whose sum is σ = 9751341600. Its totient is φ = 1301041440.

The previous prime is 4127102431. The next prime is 4127102453. The reversal of 4127102442 is 2442017214.

4127102442 is a `hidden beast` number, since 412 + 7 + 1 + 0 + 244 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4127102431) and next prime (4127102453).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3357484 + ... + 3358712.

It is an arithmetic number, because the mean of its divisors is an integer number (121891770).

Almost surely, 24127102442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127102442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875670800).

4127102442 is an abundant number, since it is smaller than the sum of its proper divisors (5624239158).

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

4127102442 is a wasteful number, since it uses less digits than its factorization.

4127102442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4127102442 is about 64242.5282970712. The cubic root of 4127102442 is about 1604.0395896245.

Adding to 4127102442 its reverse (2442017214), we get a palindrome (6569119656).

The spelling of 4127102442 in words is "four billion, one hundred twenty-seven million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1091 1229 1539 2182 2458 3078 3273 3687 6546 7374 9819 11061 19638 20729 22122 23351 29457 33183 41458 46702 58914 62187 66366 70053 88371 99549 124374 140106 176742 186561 199098 210159 373122 420318 559683 630477 1119366 1260954 1340839 1679049 1891431 2681678 3358098 3782862 4022517 8045034 12067551 24135102 25475941 36202653 50951882 72405306 76427823 108607959 152855646 217215918 229283469 458566938 687850407 1375700814 2063551221 4127102442