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5515040142 = 2331723299007
BaseRepresentation
bin1010010001011100…
…01101010110001110
3112020100112001211000
411020232031112032
542243322241032
62311130241130
7253445032143
oct51056152616
915210461730
105515040142
112380107317
12109ab861a6
1369b77b681
143a46503ca
15224290e7c
hex148b8d58e

5515040142 has 128 divisors (see below), whose sum is σ = 14009241600. Its totient is φ = 1597736448.

The previous prime is 5515040131. The next prime is 5515040173. The reversal of 5515040142 is 2410405155.

5515040142 is a `hidden beast` number, since 5 + 515 + 0 + 4 + 0 + 142 = 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, 607803 + ... + 616809.

It is an arithmetic number, because the mean of its divisors is an integer number (109447200).

Almost surely, 25515040142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5515040142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004620800).

5515040142 is an abundant number, since it is smaller than the sum of its proper divisors (8494201458).

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

5515040142 is a wasteful number, since it uses less digits than its factorization.

5515040142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5515040142 is about 74263.3162604526. The cubic root of 5515040142 is about 1766.7817014371.

Adding to 5515040142 its reverse (2410405155), we get a palindrome (7925445297).

The spelling of 5515040142 in words is "five billion, five hundred fifteen million, forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 29 34 46 51 54 58 69 87 102 138 153 174 207 261 306 391 414 459 493 522 621 667 782 783 918 986 1173 1242 1334 1479 1566 2001 2346 2958 3519 4002 4437 6003 7038 8874 9007 10557 11339 12006 13311 18009 18014 21114 22678 26622 27021 34017 36018 54042 68034 81063 102051 153119 162126 204102 207161 243189 261203 306153 306238 414322 459357 486378 522406 612306 621483 783609 918714 1242966 1378071 1567218 1864449 2350827 2756142 3521737 3728898 4134213 4440451 4701654 5593347 6007669 7043474 7052481 8268426 8880902 10565211 11186694 12015338 13321353 14104962 18023007 21130422 26642706 31695633 36046014 39964059 54069021 63391266 79928118 95086899 102130373 108138042 119892177 162207063 190173798 204260746 239784354 306391119 324414126 612782238 919173357 1838346714 2757520071 5515040142