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13011344423424 = 29334720025833
BaseRepresentation
bin1011110101010111000010…
…0011111111101000000000
31201001212112222000221122000
42331111300203333220000
53201134213133022144
643401155030544000
72512016146534224
oct275256043775000
951055488027560
1013011344423424
1141670977a3a46
121561828b08000
13734c700658b9
1432da76950784
151786c55ac769
hexbd5708ffa00

13011344423424 has 160 divisors (see below), whose sum is σ = 39333942109440. Its totient is φ = 4244835557376.

The previous prime is 13011344423423. The next prime is 13011344423437. The reversal of 13011344423424 is 42432444311031.

13011344423424 is a `hidden beast` number, since 1 + 30 + 1 + 134 + 442 + 34 + 24 = 666.

13011344423424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13011344423423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9363189 + ... + 10662644.

It is an arithmetic number, because the mean of its divisors is an integer number (245837138184).

Almost surely, 213011344423424 is an apocalyptic number.

It is an amenable number.

13011344423424 is an abundant number, since it is smaller than the sum of its proper divisors (26322597686016).

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

13011344423424 is an equidigital number, since it uses as much as digits as its factorization.

13011344423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025907 (or 20025885 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13011344423424 its reverse (42432444311031), we get a palindrome (55443788734455).

The spelling of 13011344423424 in words is "thirteen trillion, eleven billion, three hundred forty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 846 864 1128 1152 1269 1504 1536 1692 1728 2256 2304 2538 3008 3384 3456 4512 4608 5076 6016 6768 6912 9024 10152 12032 13536 13824 18048 20304 24064 27072 36096 40608 54144 72192 81216 108288 162432 216576 324864 649728 20025833 40051666 60077499 80103332 120154998 160206664 180232497 240309996 320413328 360464994 480619992 540697491 640826656 720929988 941214151 961239984 1081394982 1281653312 1441859976 1882428302 1922479968 2162789964 2563306624 2823642453 2883719952 3764856604 3844959936 4325579928 5126613248 5647284906 5767439904 7529713208 7689919872 8470927359 8651159856 10253226496 11294569812 11534879808 15059426416 15379839744 16941854718 17302319712 22589139624 23069759616 25412782077 30118852832 30759679488 33883709436 34604639424 45178279248 46139519232 50825564154 60237705664 67767418872 69209278848 90356558496 92279038464 101651128308 120475411328 135534837744 138418557696 180713116992 203302256616 240950822656 271069675488 276837115392 361426233984 406604513232 481901645312 542139350976 722852467968 813209026464 1084278701952 1445704935936 1626418052928 2168557403904 3252836105856 4337114807808 6505672211712 13011344423424