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13424121040 = 2451126595737
BaseRepresentation
bin11001000000010001…
…11101010011010000
31021122112212000011011
430200020331103100
5204443033333130
610100021300304
7653443101061
oct144010752320
937575760134
1013424121040
115769625910
122727864694
13135c20a3b5
14914c0c568
155387cc52a
hex32023d4d0

13424121040 has 80 divisors (see below), whose sum is σ = 34067194560. Its totient is φ = 4878812160.

The previous prime is 13424121001. The next prime is 13424121041. The reversal of 13424121040 is 4012142431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424121041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337052 + ... + 2342788.

It is an arithmetic number, because the mean of its divisors is an integer number (425839932).

Almost surely, 213424121040 is an apocalyptic number.

13424121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424121040 is an abundant number, since it is smaller than the sum of its proper divisors (20643073520).

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

13424121040 is a wasteful number, since it uses less digits than its factorization.

13424121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13424121040 its reverse (4012142431), we get a palindrome (17436263471).

The spelling of 13424121040 in words is "thirteen billion, four hundred twenty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2659 5318 5737 10636 11474 13295 21272 22948 26590 28685 29249 42544 45896 53180 57370 58498 63107 91792 106360 114740 116996 126214 146245 212720 229480 233992 252428 292490 315535 458960 467984 504856 584980 631070 1009712 1169960 1262140 2339920 2524280 5048560 15254683 30509366 61018732 76273415 122037464 152546830 167801513 244074928 305093660 335603026 610187320 671206052 839007565 1220374640 1342412104 1678015130 2684824208 3356030260 6712060520 13424121040