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13414130142 = 2372592333319
BaseRepresentation
bin11000111111000101…
…10110000111011110
31021121212001102012220
430133202312013132
5204433004131032
610055023210210
7653262140100
oct143742660736
937555042186
1013414130142
115763a21576
122724446966
13135a11ca1a
1491376b570
155379a712c
hex31f8b61de

13414130142 has 96 divisors (see below), whose sum is σ = 31883155200. Its totient is φ = 3750348672.

The previous prime is 13414130141. The next prime is 13414130189. The reversal of 13414130142 is 24103141431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414130141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4039959 + ... + 4043277.

It is an arithmetic number, because the mean of its divisors is an integer number (332116200).

Almost surely, 213414130142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414130142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941577600).

13414130142 is an abundant number, since it is smaller than the sum of its proper divisors (18469025058).

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

13414130142 is a wasteful number, since it uses less digits than its factorization.

13414130142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13414130142 its reverse (24103141431), we get a palindrome (37517271573).

The spelling of 13414130142 in words is "thirteen billion, four hundred fourteen million, one hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 233 294 354 413 466 699 826 1239 1398 1631 2478 2891 3262 3319 4893 5782 6638 8673 9786 9957 11417 13747 17346 19914 22834 23233 27494 34251 41241 46466 68502 69699 82482 96229 139398 162631 192458 195821 288687 325262 391642 487893 577374 587463 673603 773327 975786 1174926 1347206 1370747 1546654 2020809 2319981 2741494 4041618 4112241 4639962 5413289 8224482 9595229 10826578 16239867 19190458 28785687 32479734 37893023 45626293 57571374 75786046 91252586 113679069 136878879 227358138 273757758 319384051 638768102 958152153 1916304306 2235688357 4471376714 6707065071 13414130142