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13014004410 = 232511109112049
BaseRepresentation
bin11000001111011000…
…11111001010111010
31020120222010220220100
430013230133022322
5203123041120120
65551211140230
7640333132551
oct140754371272
936528126810
1013014004410
115579080150
122632444676
1312c5266134
148b6572d98
155127bb490
hex307b1f2ba

13014004410 has 96 divisors (see below), whose sum is σ = 36949348800. Its totient is φ = 3151756800.

The previous prime is 13014004387. The next prime is 13014004411. The reversal of 13014004410 is 1440041031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13014004411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074066 + ... + 1086114.

It is an arithmetic number, because the mean of its divisors is an integer number (384889050).

Almost surely, 213014004410 is an apocalyptic number.

13014004410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13014004410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474674400).

13014004410 is an abundant number, since it is smaller than the sum of its proper divisors (23935344390).

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

13014004410 is a wasteful number, since it uses less digits than its factorization.

13014004410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13014004410 its reverse (1440041031), we get a palindrome (14454045441).

The spelling of 13014004410 in words is "thirteen billion, fourteen million, four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1091 2182 3273 5455 6546 9819 10910 12001 12049 16365 19638 24002 24098 32730 36003 36147 49095 60005 60245 72006 72294 98190 108009 108441 120010 120490 132539 180015 180735 216018 216882 265078 360030 361470 397617 540045 542205 662695 795234 1080090 1084410 1192851 1325390 1988085 2385702 3976170 5964255 11928510 13145459 26290918 39436377 65727295 78872754 118309131 131454590 144600049 197181885 236618262 289200098 394363770 433800147 591545655 723000245 867600294 1183091310 1301400441 1446000490 2169000735 2602800882 4338001470 6507002205 13014004410