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6013415142 = 2327241179929
BaseRepresentation
bin1011001100110110…
…10110111011100110
3120112002022010210100
411212123112323212
544303413241032
62432412204530
7302006120400
oct54633267346
916462263710
106013415142
112606463889
1211b9a69746
1374aab4c17
14410901b70
15252dd797c
hex1666d6ee6

6013415142 has 144 divisors (see below), whose sum is σ = 15629468400. Its totient is φ = 1665054720.

The previous prime is 6013415137. The next prime is 6013415153. The reversal of 6013415142 is 2415143106.

It is a happy number.

6013415142 is a `hidden beast` number, since 601 + 3 + 4 + 1 + 51 + 4 + 2 = 666.

It is a super-2 number, since 2×60134151422 = 72322323340069760328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6472534 + ... + 6473462.

It is an arithmetic number, because the mean of its divisors is an integer number (108537975).

Almost surely, 26013415142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6013415142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814734200).

6013415142 is an abundant number, since it is smaller than the sum of its proper divisors (9616053258).

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

6013415142 is a wasteful number, since it uses less digits than its factorization.

6013415142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6013415142 is about 77546.2129442825. The cubic root of 6013415142 is about 1818.4738586955.

Adding to 6013415142 its reverse (2415143106), we get a palindrome (8428558248).

The spelling of 6013415142 in words is "six billion, thirteen million, four hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 179 246 287 294 358 369 441 537 574 738 861 882 929 1074 1253 1611 1722 1858 2009 2506 2583 2787 3222 3759 4018 5166 5574 6027 6503 7339 7518 8361 8771 11277 12054 13006 14678 16722 17542 18081 19509 22017 22554 26313 36162 38089 39018 44034 45521 51373 52626 58527 66051 76178 78939 91042 102746 114267 117054 132102 136563 154119 157878 166291 228534 266623 273126 308238 332582 342801 359611 409689 462357 498873 533246 685602 719222 799869 819378 924714 997746 1078833 1164037 1496619 1599738 1866361 2157666 2328074 2399607 2993238 3236499 3492111 3732722 4799214 5599083 6472998 6817931 6984222 8148259 10476333 11198166 13635862 16296518 16797249 20453793 20952666 24444777 33594498 40907586 47725517 48889554 61361379 73334331 95451034 122722758 143176551 146668662 286353102 334078619 429529653 668157238 859059306 1002235857 2004471714 3006707571 6013415142