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13405341060 = 22325296014273
BaseRepresentation
bin11000111110000010…
…10100010110000100
31021121020111212212100
430133001110112010
5204423231403220
610054110552100
7653124342666
oct143701242604
937536455770
1013405341060
115759a69171
122721508630
131358363397
14912520536
15536d1cd90
hex31f054584

13405341060 has 144 divisors (see below), whose sum is σ = 42144888240. Its totient is φ = 3444940800.

The previous prime is 13405341023. The next prime is 13405341127. The reversal of 13405341060 is 6014350431.

It can be written as a sum of positive squares in 8 ways, for example, as 1258884 + 13404082176 = 1122^2 + 115776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3135084 + ... + 3139356.

It is an arithmetic number, because the mean of its divisors is an integer number (292672835).

Almost surely, 213405341060 is an apocalyptic number.

13405341060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405341060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072444120).

13405341060 is an abundant number, since it is smaller than the sum of its proper divisors (28739547180).

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

13405341060 is a wasteful number, since it uses less digits than its factorization.

13405341060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13405341060 its reverse (6014350431), we get a palindrome (19419691491).

The spelling of 13405341060 in words is "thirteen billion, four hundred five million, three hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 601 870 1044 1202 1305 1740 1803 2404 2610 3005 3606 4273 5220 5409 6010 7212 8546 9015 10818 12020 12819 17092 17429 18030 21365 21636 25638 27045 34858 36060 38457 42730 51276 52287 54090 64095 69716 76914 85460 87145 104574 108180 123917 128190 153828 156861 174290 192285 209148 247834 256380 261435 313722 348580 371751 384570 495668 522870 619585 627444 743502 769140 784305 1045740 1115253 1239170 1487004 1568610 1858755 2230506 2478340 2568073 3137220 3717510 4461012 5136146 5576265 7435020 7704219 10272292 11152530 12840365 15408438 22305060 23112657 25680730 30816876 38521095 46225314 51361460 74474117 77042190 92450628 115563285 148948234 154084380 223422351 231126570 297896468 372370585 446844702 462253140 670267053 744741170 893689404 1117111755 1340534106 1489482340 2234223510 2681068212 3351335265 4468447020 6702670530 13405341060